To answer these questions, we need to calculate the values given.
1. Yesterday, Sarah spent 3512 minutes studying for a test. Emma spent 112 times that amount studying for a different test. To find out how many minutes Emma spent studying, we multiply 3512 by 112: 3512 * 112 = 393,344 minutes. Therefore, Emma spent 393,344 minutes studying.
2. A middle school band has 29 times as many band members as the high school band, which has 502 members. To find out how many members are in the middle school band, we multiply 502 by 29: 502 * 29 = 14,558 members. Therefore, there are about 14,558 members in the middle school band.
3. If 6 members share 34 of a cake equally, each member will get 34 divided by 6: 34 / 6 = 5 and 2/3 (or 5.67). Therefore, each member will get 5 and 2/3 of the cake.
4. If there are 24 packets of sheet music in a folder and the chorus students decide to share 38 of them, the number of packets they shared is 38. Therefore, they shared 38 packets of sheet music.
5. If Celeste completed 56 of her science problems and her mom checked 23 of the assignment, we can find the fraction of the assignment her mom checked by dividing 23 by 56: 23/56 (or simplified as 13/32). Therefore, her mom checked 13/32 of the assignment.
6. If Paige decided to paint 45 of the rooms in her home last year and she completed 23 of the rooms, we can find out how much of Paige's home was painted last year by dividing 23 by 45: 23/45. Therefore, 23/45 of Paige's home was painted last year.