1. Yesterday, Sarah spent 3512
minutes studying for a test. Emma spent 112
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses
5314
minutes
53 and 1 fourthminutes
9312
minutes
93 and 1 halfminutes
4912
minutes
49 and 1 halfminutes
7314
minutes
73 and 1 fourthminutes
71 minutes
71 minutes
Question 2
2. A middle school band as 29
as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?(1 point)
Responses
112
112
45
45
390
390
645
645
Question 3
3. How much cake will each member of the team get if 6 members share 34
of a cake equally?(1 point)
Responses
16
1 sixth
13
1 third
18
1 eighth
14
1 fourth
Question 4
4. Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 38
of the packets, how many did they share?(1 point)
Responses
8 packets
8 packets
9 packets
9 packets
18 packets
18 packets
12 packets
12 packets
Question 5
5. Celeste completed 56
of her science problems. Her mom checked 23
of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
16
1 sixth
13
1 third
59
5 ninths
54
5 fourths
Question 6
6. Paige decided to paint 45
of the rooms in her home last year. By the end of the year, Paige completed 23
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
23
2 thirds
815
8 over 15
615
6 over 15
13
1 third
29
2 ninths
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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.
1. Yesterday, Sarah spent 35 1/2minutes studying for a test. Emma spent 1 1/2 times that amount studying for a different test. How many minutes did Emma spend studying?
53 1/4
minutes
93 1/2
minutes
49 1/2
minutes
73 1/4
minutes
71 minutes
To find out how many minutes Emma spent studying, we have to multiply Sarah's time by 1 1/2.
Sarah spent 35 1/2 minutes studying.
To multiply a whole number by a mixed fraction, we can convert the whole number to a fraction by multiplying it by the denominator of the mixed fraction and adding the numerator. Then we can multiply the resulting fraction by the mixed fraction.
1 1/2 can be converted to the improper fraction 3/2.
35 1/2 multiplied by 3/2 is (71/2) * (3/2) = 213/4 = 53 1/4.
Therefore, Emma spent 53 1/4 minutes studying.
1. Emma spent 112 times as much as Sarah studying for a different test. To find out how many minutes Emma spent studying, multiply Sarah's study time by 112.
3512 minutes * 112 = 393,344 minutes
Therefore, Emma spent 393,344 minutes studying.
2. The middle school band has 29 times as many members as the high school band, which has 502 members. To find out the approximate number of members in the middle school band, multiply the number of members in the high school band by 29.
502 members * 29 = 14,558 members
Therefore, there are approximately 14,558 members in the middle school band.
3. If 6 members are sharing 34 of a cake equally, the fraction of the cake that each member will get is found by dividing the total amount of cake (34) by the number of members (6).
34 / 6 = 5 and 2/3
Therefore, each member will get 5 and 2/3 of a cake.
4. There are 24 packets of sheet music in a folder. If the chorus students decide to share 38 of the packets, the number of packets they share can be found by subtracting 38 from the total number of packets.
24 packets - 38 packets = -14 packets
Therefore, the chorus students cannot share 38 packets because there are only 24 packets available.
5. Celeste completed 56 of her science problems and her mom checked 23 of the assignment. To find out the fraction of the assignment that her mom checked, divide the number of problems checked (23) by the total number of problems (56).
23 / 56 = 13/32
Therefore, her mom checked 13/32 of the assignment.
6. Paige decided to paint 45 of the rooms in her home last year, but by the end of the year, she only completed 23 of the rooms. To find out the fraction of Paige's home that was painted last year, divide the number of rooms completed (23) by the total number of rooms (45).
23 / 45 = 23/45
Therefore, 23/45 of Paige's home was painted last year.