33:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.  Racionaliza:@0.096359:0.095061:0.215272:0.095061:0.215272:0.078160:0.096359:0.078160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.114400:0.095061:0.118435:0.095061:0.118435:0.078672:0.114400:0.078672:0.000000
 las expresiones con binomios en el :@0.215272:0.095061:0.501620:0.095061:0.501620:0.078672:0.215272:0.078672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador.:@0.124848:0.111657:0.228317:0.111657:0.228317:0.095268:0.124848:0.095268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.167615:0.143571:0.167615:0.143571:0.150714:0.124848:0.150714:0.000000:0.000000:0.000000
+:@0.182346:0.158082:0.192462:0.158082:0.192462:0.142509:0.182346:0.142509:0.000000
−:@0.191246:0.178239:0.201363:0.178239:0.201363:0.162666:0.191246:0.162666:0.000000
3:@0.169944:0.157410:0.178937:0.157410:0.178937:0.141021:0.169944:0.141021:0.000000
5:@0.207739:0.157410:0.216732:0.157410:0.216732:0.141021:0.207739:0.141021:0.000000
71:@0.178052:0.177561:0.211959:0.177561:0.211959:0.161172:0.178052:0.161172:0.000000:0.000000
 :@0.222029:0.167620:0.226064:0.167620:0.226064:0.151231:0.222029:0.151231:0.000000
b) :@0.124851:0.248532:0.144882:0.248532:0.144882:0.231631:0.124851:0.231631:0.000000:0.000000:0.000000
+:@0.194910:0.238994:0.205027:0.238994:0.205027:0.223421:0.194910:0.223421:0.000000
−:@0.169520:0.259150:0.179637:0.259150:0.179637:0.243577:0.169520:0.243577:0.000000
+:@0.207370:0.259150:0.217487:0.259150:0.217487:0.243577:0.207370:0.243577:0.000000
a:@0.182818:0.238316:0.192087:0.238316:0.192087:0.222923:0.182818:0.222923:0.000000
a:@0.195275:0.258467:0.204544:0.258467:0.204544:0.243074:0.195275:0.243074:0.000000
3:@0.207788:0.238316:0.216780:0.238316:0.216780:0.221927:0.207788:0.221927:0.000000
6:@0.157793:0.258472:0.166786:0.258472:0.166786:0.242083:0.157793:0.242083:0.000000
3:@0.220245:0.258472:0.229237:0.258472:0.229237:0.242083:0.220245:0.242083:0.000000
 :@0.235431:0.248532:0.239466:0.248532:0.239466:0.232143:0.235431:0.232143:0.000000
c) :@0.124851:0.329444:0.142487:0.329444:0.142487:0.312544:0.124851:0.312544:0.000000:0.000000:0.000000
−:@0.184230:0.335033:0.194347:0.335033:0.194347:0.319460:0.184230:0.319460:0.000000
x:@0.195637:0.314205:0.203100:0.314205:0.203100:0.298811:0.195637:0.298811:0.000000
x:@0.171405:0.334355:0.178868:0.334355:0.178868:0.318962:0.171405:0.318962:0.000000
y:@0.211079:0.334355:0.218561:0.334355:0.218561:0.318962:0.211079:0.318962:0.000000
2:@0.172870:0.314200:0.181863:0.314200:0.181863:0.297811:0.172870:0.297811:0.000000
  :@0.227054:0.329444:0.235126:0.329444:0.235126:0.313055:0.227054:0.313055:0.000000:0.000000
d) :@0.124851:0.410355:0.144919:0.410355:0.144919:0.393455:0.124851:0.393455:0.000000:0.000000:0.000000
−:@0.199936:0.417772:0.210052:0.417772:0.210052:0.402199:0.199936:0.402199:0.000000
ab:@0.211349:0.395092:0.235950:0.395092:0.235950:0.379699:0.211349:0.379699:0.000000:0.000000
a:@0.179101:0.417095:0.188370:0.417095:0.188370:0.401701:0.179101:0.401701:0.000000
b:@0.235581:0.417095:0.244851:0.417095:0.244851:0.401701:0.235581:0.401701:0.000000
12 3:@0.172504:0.395092:0.211607:0.395092:0.211607:0.378703:0.172504:0.378703:0.000000:0.000000:0.000000:0.000000
2:@0.157426:0.417095:0.166419:0.417095:0.166419:0.400706:0.157426:0.400706:0.000000
4:@0.213557:0.417095:0.222550:0.417095:0.222550:0.400706:0.213557:0.400706:0.000000
2:@0.221191:0.387430:0.226403:0.387430:0.226403:0.377931:0.221191:0.377931:0.000000
2:@0.188943:0.409432:0.194154:0.409432:0.194154:0.399934:0.188943:0.399934:0.000000
2:@0.245427:0.409432:0.250639:0.409432:0.250639:0.399934:0.245427:0.399934:0.000000
   :@0.258884:0.410355:0.270991:0.410355:0.270991:0.393966:0.258884:0.393966:0.000000:0.000000:0.000000
e) :@0.124851:0.491268:0.143721:0.491268:0.143721:0.474367:0.124851:0.474367:0.000000:0.000000:0.000000
+:@0.199884:0.496856:0.210001:0.496856:0.210001:0.481284:0.199884:0.481284:0.000000
xy:@0.198778:0.475710:0.223176:0.475710:0.223176:0.460317:0.198778:0.460317:0.000000:0.000000
xy:@0.179779:0.496179:0.194540:0.496179:0.194540:0.480786:0.179779:0.480786:0.000000:0.000000
x:@0.226733:0.496179:0.234196:0.496179:0.234196:0.480786:0.226733:0.480786:0.000000
15 5:@0.159251:0.475710:0.197930:0.475710:0.197930:0.459321:0.159251:0.459321:0.000000:0.000000:0.000000:0.000000
3:@0.157426:0.496179:0.166419:0.496179:0.166419:0.479790:0.157426:0.479790:0.000000
4:@0.208312:0.468046:0.213524:0.468046:0.213524:0.458548:0.208312:0.458548:0.000000
4:@0.225218:0.468046:0.230429:0.468046:0.230429:0.458548:0.225218:0.458548:0.000000
  :@0.242132:0.491268:0.250203:0.491268:0.250203:0.474879:0.242132:0.474879:0.000000:0.000000
7. Racionaliza:@0.096359:0.536531:0.215272:0.536531:0.215272:0.519630:0.096359:0.519630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.110585:0.536531:0.114621:0.536531:0.114621:0.520142:0.110585:0.520142:0.000000
 las siguientes expresiones.:@0.215272:0.536531:0.411523:0.536531:0.411523:0.520142:0.215272:0.520142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.580912:0.143571:0.580912:0.143571:0.564011:0.124848:0.564011:0.000000:0.000000:0.000000
=:@0.221295:0.580331:0.231412:0.580331:0.231412:0.564758:0.221295:0.564758:0.000000
3:@0.183027:0.571167:0.192020:0.571167:0.192020:0.554778:0.183027:0.554778:0.000000
5– 2:@0.169939:0.591480:0.215787:0.591480:0.215787:0.575091:0.169939:0.575091:0.000000:0.000000:0.000000:0.000000
 :@0.235431:0.580911:0.239466:0.580911:0.239466:0.564522:0.235431:0.564522:0.000000
b) :@0.124851:0.642945:0.144882:0.642945:0.144882:0.626044:0.124851:0.626044:0.000000:0.000000:0.000000
+:@0.182503:0.654191:0.192620:0.654191:0.192620:0.638618:0.182503:0.638618:0.000000
=:@0.221349:0.642365:0.231465:0.642365:0.231465:0.626792:0.221349:0.626792:0.000000
5:@0.183498:0.633201:0.192491:0.633201:0.192491:0.616812:0.183498:0.616812:0.000000
3:@0.170783:0.653517:0.179776:0.653517:0.179776:0.637128:0.170783:0.637128:0.000000
5:@0.207270:0.653517:0.216263:0.653517:0.216263:0.637128:0.207270:0.637128:0.000000
 :@0.235431:0.642945:0.239466:0.642945:0.239466:0.626556:0.235431:0.626556:0.000000
c) :@0.124851:0.704977:0.142487:0.704977:0.142487:0.688077:0.124851:0.688077:0.000000:0.000000:0.000000
+:@0.183550:0.716225:0.193667:0.716225:0.193667:0.700652:0.183550:0.700652:0.000000
=:@0.208833:0.704400:0.218950:0.704400:0.218950:0.688827:0.208833:0.688827:0.000000
1:@0.177374:0.695233:0.186366:0.695233:0.186366:0.678844:0.177374:0.678844:0.000000
2:@0.195801:0.715548:0.204794:0.715548:0.204794:0.699159:0.195801:0.699159:0.000000
x:@0.171403:0.715548:0.178866:0.715548:0.178866:0.700154:0.171403:0.700154:0.000000
 :@0.222029:0.704977:0.226064:0.704977:0.226064:0.688589:0.222029:0.688589:0.000000
d) :@0.124851:0.767011:0.144919:0.767011:0.144919:0.750111:0.124851:0.750111:0.000000:0.000000:0.000000
=:@0.215589:0.766432:0.225706:0.766432:0.225706:0.750859:0.215589:0.750859:0.000000
1:@0.180776:0.757267:0.189769:0.757267:0.189769:0.740878:0.180776:0.740878:0.000000
–1:@0.194597:0.777580:0.214277:0.777580:0.214277:0.761191:0.194597:0.761191:0.000000:0.000000
xx:@0.158902:0.777580:0.189142:0.777580:0.189142:0.762187:0.158902:0.762187:0.000000:0.000000
 :@0.228730:0.767011:0.232765:0.767011:0.232765:0.750623:0.228730:0.750623:0.000000
e) :@0.124851:0.829045:0.143721:0.829045:0.143721:0.812145:0.124851:0.812145:0.000000:0.000000:0.000000
=:@0.215589:0.828466:0.225706:0.828466:0.225706:0.812893:0.215589:0.812893:0.000000
–1:@0.182503:0.819300:0.202184:0.819300:0.202184:0.802911:0.182503:0.802911:0.000000:0.000000
–1:@0.194592:0.839617:0.214272:0.839617:0.214272:0.823228:0.194592:0.823228:0.000000:0.000000
x:@0.171038:0.819300:0.178501:0.819300:0.178501:0.803907:0.171038:0.803907:0.000000
xx:@0.158892:0.839614:0.189132:0.839614:0.189132:0.824221:0.158892:0.824221:0.000000:0.000000
 :@0.228730:0.829045:0.232765:0.829045:0.232765:0.812656:0.228730:0.812656:0.000000
f) :@0.124851:0.891078:0.141676:0.891078:0.141676:0.874177:0.124851:0.874177:0.000000:0.000000:0.000000
    x – 9   :@0.153344:0.880777:0.214360:0.880777:0.214360:0.864388:0.153344:0.864388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    √:@0.153344:0.902989:0.166262:0.903030:0.166262:0.886641:0.153344:0.886600:0.000000:0.000000:0.000000:0.000000:0.000000
       x:@0.165451:0.902989:0.176673:0.903030:0.176673:0.887637:0.165451:0.887595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– 3:@0.185353:0.902989:0.207595:0.902989:0.207595:0.886600:0.185353:0.886600:0.000000:0.000000:0.000000
 :@0.213653:0.891078:0.217688:0.891078:0.217688:0.874689:0.213653:0.874689:0.000000
Actividad cooperativa:@0.526118:0.095689:0.719366:0.095689:0.719366:0.077674:0.526118:0.077674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajen:@0.526118:0.112127:0.595793:0.112127:0.595793:0.095227:0.526118:0.095227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en equipo y :@0.595793:0.112127:0.691396:0.112127:0.691396:0.095738:0.595793:0.095738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelvan.:@0.691396:0.112127:0.773213:0.112127:0.773213:0.095227:0.691396:0.095227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. :@0.526118:0.128724:0.544159:0.128724:0.544159:0.111823:0.526118:0.111823:0.000000:0.000000:0.000000
  Martín diseña unas pequeñas banderas en forma :@0.544159:0.128725:0.931432:0.128725:0.931432:0.112336:0.544159:0.112336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triangular para el día de los deportes, como se :@0.554607:0.145321:0.931397:0.145321:0.931397:0.128932:0.554607:0.128932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestra en la imagen. Necesita hacer 50 bande-:@0.554607:0.161918:0.927380:0.161918:0.927380:0.145529:0.554607:0.145529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rines tipo A y 100 tipo B.:@0.554607:0.178514:0.731140:0.178514:0.731140:0.162125:0.554607:0.162125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 2 cm:@0.650955:0.241970:0.689599:0.241970:0.689599:0.230747:0.650955:0.230747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
√:@0.657114:0.242186:0.664851:0.242186:0.664851:0.229766:0.657114:0.229766:0.000000
6 3 cm:@0.800090:0.233064:0.842326:0.233064:0.842326:0.220797:0.800090:0.220797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
√:@0.806821:0.233299:0.815278:0.233299:0.815278:0.219725:0.806821:0.219725:0.000000
6 2 cm:@0.612371:0.276149:0.654605:0.276149:0.654605:0.263882:0.612371:0.263882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
√:@0.619101:0.276384:0.627557:0.276384:0.627557:0.262810:0.619101:0.262810:0.000000
12 cm:@0.757023:0.274882:0.790953:0.274882:0.790953:0.262615:0.757023:0.262615:0.000000:0.000000:0.000000:0.000000:0.000000
Tipo A:@0.610699:0.206179:0.648698:0.206179:0.648698:0.193529:0.610699:0.193529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tipo B:@0.752472:0.195299:0.789642:0.195299:0.789642:0.182650:0.752472:0.182650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.554609:0.300973:0.573332:0.300973:0.573332:0.284072:0.554609:0.284072:0.000000:0.000000:0.000000
¿Cuántos centímetros de cinta necesita  para :@0.583098:0.300973:0.931443:0.300973:0.931443:0.284584:0.583098:0.284584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada tipo de banderín? :@0.583098:0.317569:0.756390:0.317569:0.756390:0.301180:0.583098:0.301180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.554609:0.334165:0.558516:0.334165:0.558516:0.317541:0.554609:0.317541:0.000000
Tipo A:  :@0.583098:0.334165:0.643762:0.334165:0.643762:0.317541:0.583098:0.317541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.643764:0.333851:0.719685:0.333851:0.719685:0.318952:0.643764:0.318952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.718010:0.334165:0.726083:0.334165:0.726083:0.317777:0.718010:0.317777:0.000000:0.000000
Tipo B:  :@0.767359:0.334165:0.826733:0.334165:0.826733:0.317541:0.767359:0.317541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.826725:0.333851:0.902647:0.333851:0.902647:0.318952:0.826725:0.318952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.902647:0.334165:0.906682:0.334165:0.906682:0.317777:0.902647:0.317777:0.000000
b) :@0.554609:0.422671:0.574640:0.422671:0.574640:0.405770:0.554609:0.405770:0.000000:0.000000:0.000000
¿Cuántas veces mayor es la cantidad utilizada :@0.583098:0.422671:0.931381:0.422671:0.931381:0.406282:0.583098:0.406282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en los banderines B que la utilizada en los ban-:@0.583098:0.439267:0.927325:0.439267:0.927325:0.422878:0.583098:0.422878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derines A? :@0.583098:0.455863:0.663037:0.455863:0.663037:0.439474:0.583098:0.439474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.:@0.526118:0.540805:0.540344:0.540805:0.540344:0.523905:0.526118:0.523905:0.000000:0.000000
 :@0.540344:0.540805:0.544380:0.540805:0.544380:0.524416:0.540344:0.524416:0.000000
Problema-decisión:@0.554607:0.540805:0.698251:0.540805:0.698251:0.523905:0.554607:0.523905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.697882:0.540805:0.701089:0.540805:0.701089:0.524416:0.697882:0.524416:0.000000
 :@0.700720:0.540805:0.704535:0.540805:0.704535:0.523905:0.700720:0.523905:0.000000
Resuelvan:@0.704535:0.540805:0.786151:0.540805:0.786151:0.523905:0.704535:0.523905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el problema.:@0.786151:0.540805:0.881956:0.540805:0.881956:0.524416:0.786151:0.524416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.526118:0.557402:0.530154:0.557402:0.530154:0.541013:0.526118:0.541013:0.000000
Rocío tiene hojas de papel :@0.554607:0.557402:0.750843:0.557402:0.750843:0.541013:0.554607:0.541013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bond:@0.750419:0.557402:0.787680:0.557402:0.787680:0.542009:0.750419:0.542009:0.000000:0.000000:0.000000:0.000000
 de 20 :@0.787680:0.557402:0.835887:0.557402:0.835887:0.541013:0.787680:0.541013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.835463:0.557402:0.857760:0.557402:0.857760:0.542009:0.835463:0.542009:0.000000:0.000000
   15 :@0.857760:0.557402:0.902318:0.557402:0.902318:0.541013:0.857760:0.541013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.861335:0.557983:0.876686:0.557983:0.876686:0.540377:0.861335:0.540377:0.000000
cm:@0.901895:0.557402:0.924192:0.557402:0.924192:0.542009:0.901895:0.542009:0.000000:0.000000
, :@0.924192:0.557402:0.931434:0.557402:0.931434:0.541013:0.924192:0.541013:0.000000:0.000000
que serán recortadas a lo largo de una de las :@0.554607:0.573998:0.931416:0.573998:0.931416:0.557609:0.554607:0.557609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonales para elaborar banderines triangulares. :@0.554607:0.590595:0.931414:0.590595:0.931414:0.574206:0.554607:0.574206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si la cinta de refuerzo se colocará solo en el lado :@0.554607:0.607191:0.931414:0.607191:0.931414:0.590802:0.554607:0.590802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más largo y Rocío cuenta con 50   de cinta: :@0.554607:0.623787:0.881420:0.623787:0.881420:0.607398:0.554607:0.607398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.796505:0.623787:0.811137:0.623787:0.811137:0.608394:0.796505:0.608394:0.000000
a) :@0.554607:0.651074:0.573330:0.651074:0.573330:0.634174:0.554607:0.634174:0.000000:0.000000:0.000000
¿Cuántos pliegos puede recortar? :@0.583096:0.651074:0.832972:0.651074:0.832972:0.634686:0.583096:0.634686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________:@0.583105:0.679263:0.921704:0.679263:0.921704:0.664364:0.583105:0.664364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.554609:0.706866:0.574640:0.706866:0.574640:0.689965:0.554609:0.689965:0.000000:0.000000:0.000000
Si quiere poner la cinta en los tres lados, ¿cuán-:@0.583098:0.706866:0.927437:0.706866:0.927437:0.690477:0.583098:0.690477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tos banderines puede decorar?:@0.583098:0.723462:0.811046:0.723462:0.811046:0.707073:0.583098:0.707073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________:@0.583105:0.751650:0.921704:0.751650:0.921704:0.736751:0.583105:0.736751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.554609:0.779253:0.572246:0.779253:0.572246:0.762352:0.554609:0.762352:0.000000:0.000000:0.000000
Si Rocío es tu amiga y tuvieras que elegir entre :@0.583098:0.779253:0.931454:0.779253:0.931454:0.762864:0.583098:0.762864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ayudarla en la confección de banderines o ver :@0.583098:0.795849:0.931399:0.795849:0.931399:0.779460:0.583098:0.779460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una película. ¿Qué decisión tomarías? :@0.583098:0.812445:0.859142:0.812445:0.859142:0.796056:0.583098:0.796056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justifica.:@0.858497:0.812445:0.927361:0.812445:0.927361:0.795545:0.858497:0.795545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_____________________________________________:@0.583105:0.840633:0.921704:0.840633:0.921704:0.825734:0.583105:0.825734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaguemos:@0.526118:0.865584:0.634524:0.865584:0.634524:0.847568:0.526118:0.847568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10. Indaga:@0.526118:0.882023:0.609374:0.882023:0.609374:0.865122:0.526118:0.865122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en cursos superiores de matemática, ¿para :@0.609190:0.882023:0.931434:0.882023:0.931434:0.865634:0.609190:0.865634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
qué se emplea la racionalización de números reales?:@0.554607:0.898619:0.927362:0.898619:0.927362:0.882231:0.554607:0.882231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.322769:0.155703:0.273871:0.155703:0.273871:0.139134:0.322769:0.139134:0.000000
+:@0.382431:0.155703:0.333533:0.155703:0.333533:0.139134:0.382431:0.139134:0.000000
(3 5)(7 1):@0.291020:0.154982:0.406541:0.154982:0.406541:0.137545:0.291020:0.137545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.344159:0.175675:0.353727:0.175675:0.353727:0.158238:0.344159:0.158238:0.000000
(:@0.290913:0.240558:0.297260:0.240558:0.297260:0.211401:0.290913:0.211401:0.000000
):@0.373927:0.240558:0.380274:0.240558:0.380274:0.211401:0.373927:0.211401:0.000000
+:@0.310517:0.234694:0.320981:0.234694:0.320981:0.218586:0.310517:0.218586:0.000000
+:@0.349669:0.234694:0.360134:0.234694:0.360134:0.218586:0.349669:0.218586:0.000000
+:@0.406854:0.234694:0.417319:0.234694:0.417319:0.218586:0.406854:0.218586:0.000000
−+:@0.333531:0.258471:0.367937:0.258471:0.367937:0.242362:0.333531:0.242362:0.000000:0.000000
a:@0.337153:0.233993:0.346741:0.233993:0.346741:0.218070:0.337153:0.218070:0.000000
a:@0.394338:0.233993:0.403926:0.233993:0.403926:0.218070:0.394338:0.218070:0.000000
a:@0.344949:0.257770:0.354537:0.257770:0.354537:0.241847:0.344949:0.241847:0.000000
6:@0.298386:0.233993:0.307688:0.233993:0.307688:0.217040:0.298386:0.217040:0.000000
3:@0.362986:0.233993:0.372288:0.233993:0.372288:0.217040:0.362986:0.217040:0.000000
3:@0.420171:0.233993:0.429473:0.233993:0.429473:0.217040:0.420171:0.217040:0.000000
33:@0.370788:0.257770:0.389183:0.257770:0.389183:0.240817:0.370788:0.240817:0.000000:0.000000
+:@0.358765:0.316571:0.369230:0.316571:0.369230:0.300462:0.358765:0.300462:0.000000
−:@0.341705:0.337015:0.352170:0.337015:0.352170:0.320906:0.341705:0.320906:0.000000
x:@0.312716:0.315870:0.320894:0.315870:0.325863:0.298917:0.317686:0.298917:0.000000
x:@0.343692:0.315870:0.351869:0.315870:0.356839:0.298917:0.348661:0.298917:0.000000
y:@0.384370:0.315870:0.392757:0.315870:0.397726:0.298917:0.389339:0.298917:0.000000
xy:@0.327730:0.336314:0.362765:0.336314:0.367735:0.319361:0.332699:0.319361:0.000000:0.000000
2:@0.291345:0.315870:0.300647:0.315870:0.300647:0.298917:0.291345:0.298917:0.000000
(:@0.325523:0.315870:0.330574:0.315870:0.330574:0.298917:0.325523:0.298917:0.000000
):@0.399158:0.315870:0.404210:0.315870:0.404210:0.298917:0.399158:0.298917:0.000000
−:@0.308188:0.418580:0.318653:0.418580:0.318653:0.402471:0.308188:0.402471:0.000000
a:@0.301574:0.397678:0.311162:0.397678:0.311162:0.381755:0.301574:0.381755:0.000000
b:@0.333045:0.397678:0.342632:0.397678:0.342632:0.381755:0.333045:0.381755:0.000000
a:@0.295893:0.417879:0.305481:0.417879:0.305481:0.401956:0.295893:0.401956:0.000000
b:@0.330395:0.417879:0.339983:0.417879:0.339983:0.401956:0.330395:0.401956:0.000000
6:@0.291719:0.397678:0.301021:0.397678:0.301021:0.380725:0.291719:0.380725:0.000000
3:@0.324371:0.397678:0.333674:0.397678:0.333674:0.380725:0.324371:0.380725:0.000000
2:@0.321283:0.417879:0.330585:0.417879:0.330585:0.400926:0.321283:0.400926:0.000000
−:@0.407449:0.478377:0.417914:0.478377:0.417914:0.462268:0.407449:0.462268:0.000000
−:@0.374530:0.498820:0.384995:0.498820:0.384995:0.482712:0.374530:0.482712:0.000000
xy:@0.328854:0.477676:0.345152:0.477676:0.350121:0.460723:0.333824:0.460723:0.000000:0.000000
xy:@0.383218:0.477676:0.399516:0.477676:0.404485:0.460723:0.388188:0.460723:0.000000:0.000000
x:@0.432283:0.477676:0.440460:0.477676:0.445430:0.460723:0.437252:0.460723:0.000000
y:@0.359727:0.498119:0.368114:0.498119:0.373083:0.481167:0.364696:0.481167:0.000000
15 5:@0.290154:0.477676:0.330165:0.477676:0.330165:0.460723:0.290154:0.460723:0.000000:0.000000:0.000000:0.000000
(3:@0.356394:0.477676:0.371589:0.477676:0.371589:0.460723:0.356394:0.460723:0.000000:0.000000
):@0.446272:0.477676:0.451324:0.477676:0.451324:0.460723:0.446272:0.460723:0.000000
9:@0.350156:0.498118:0.359458:0.498118:0.359458:0.481165:0.350156:0.481165:0.000000
1:@0.385897:0.498118:0.395199:0.498118:0.395199:0.481165:0.385897:0.481165:0.000000
2:@0.349613:0.469750:0.355004:0.469750:0.355004:0.459925:0.349613:0.459925:0.000000
(:@0.286721:0.647548:0.291950:0.647548:0.291950:0.624196:0.286721:0.624196:0.000000
):@0.342960:0.647548:0.348188:0.647548:0.348188:0.624196:0.342960:0.624196:0.000000
5:@0.276998:0.634484:0.284660:0.634484:0.284660:0.620521:0.276998:0.620521:0.000000
2:@0.276826:0.650993:0.284487:0.650993:0.284487:0.637030:0.276826:0.637030:0.000000
5– 3:@0.302867:0.641715:0.341930:0.641715:0.341930:0.627752:0.302867:0.627752:0.000000:0.000000:0.000000:0.000000
–2:@0.299746:0.696737:0.317488:0.696737:0.317488:0.682774:0.299746:0.682774:0.000000:0.000000
–4:@0.293190:0.713240:0.311559:0.713240:0.311559:0.699277:0.293190:0.699277:0.000000:0.000000
x:@0.288728:0.696737:0.295087:0.696737:0.295087:0.683622:0.288728:0.683622:0.000000
x:@0.283421:0.713240:0.289780:0.713240:0.289780:0.700126:0.283421:0.700126:0.000000
+:@0.307819:0.758145:0.316439:0.758145:0.316439:0.744877:0.307819:0.744877:0.000000
1:@0.317271:0.757568:0.324933:0.757568:0.324933:0.743605:0.317271:0.743605:0.000000
–1:@0.301129:0.774071:0.317897:0.774071:0.317897:0.760108:0.301129:0.760108:0.000000:0.000000
3:@0.292833:0.767543:0.297273:0.767543:0.297273:0.759451:0.292833:0.759451:0.000000
xx:@0.278069:0.757568:0.303833:0.757568:0.303833:0.744453:0.278069:0.744453:0.000000:0.000000
x:@0.285071:0.774071:0.291430:0.774071:0.291430:0.760956:0.285071:0.760956:0.000000
+:@0.296222:0.580176:0.304841:0.580176:0.304841:0.566907:0.296222:0.566907:0.000000
5:@0.286236:0.579598:0.293898:0.579598:0.293898:0.565635:0.286236:0.565635:0.000000
2:@0.317323:0.579598:0.324985:0.579598:0.324985:0.565635:0.317323:0.565635:0.000000
+:@0.311120:0.821113:0.319739:0.821113:0.319739:0.807845:0.311120:0.807845:0.000000
++:@0.293635:0.837617:0.323042:0.837617:0.323042:0.824349:0.293635:0.824349:0.000000:0.000000
1:@0.320576:0.820536:0.328238:0.820536:0.328238:0.806573:0.320576:0.806573:0.000000
1:@0.323877:0.837039:0.331538:0.837039:0.331538:0.823076:0.323877:0.823076:0.000000
2:@0.285830:0.830513:0.290271:0.830513:0.290271:0.822420:0.285830:0.822420:0.000000
xx:@0.281369:0.820536:0.307133:0.820536:0.307133:0.807421:0.281369:0.807421:0.000000:0.000000
x:@0.278069:0.837039:0.284428:0.837039:0.284428:0.823924:0.278069:0.823924:0.000000
x:@0.305325:0.837039:0.311683:0.837039:0.311683:0.823924:0.305325:0.823924:0.000000
+:@0.297828:0.892813:0.306448:0.892813:0.306448:0.879545:0.297828:0.879545:0.000000
3:@0.308265:0.892236:0.315927:0.892236:0.315927:0.878273:0.308265:0.878273:0.000000
x:@0.287478:0.892236:0.293836:0.892236:0.293836:0.879121:0.287478:0.879121:0.000000
100 pliegos:@0.591010:0.681160:0.675593:0.681160:0.675593:0.664771:0.591010:0.664771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
989,9 cm:@0.648394:0.336080:0.714918:0.336080:0.714918:0.319691:0.648394:0.319691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 278,5 cm:@0.825391:0.336080:0.904944:0.336080:0.904944:0.319691:0.825391:0.319691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aproximadamente 3 veces mayor:@0.600206:0.487453:0.846911:0.487453:0.846911:0.471064:0.600206:0.471064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aproximadamente 83 banderines:@0.589831:0.753507:0.836242:0.753507:0.836242:0.737118:0.589831:0.737118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000