To answer these questions, we need to perform the necessary calculations:
1. Emma spent 112 times the amount Sarah spent studying, so Emma spent 112 * 3512 = 393,344 minutes studying.
2. The middle school band has 29 times fewer members than the high school band, so the middle school band has 502 / 29 = 17.31 members. Since we can't have a fraction of a band member, we can round that to 17 members.
3. If 6 members share 34 of a cake equally, each member will get 34 / 6 = 5.67 of a cake. Again, we can't have a fraction of a cake, so we can round that to each member getting 5 pieces of cake.
4. If there are 24 packets of sheet music in a folder and the chorus students decide to share 38 of them, they will share 38 packets.
5. If Celeste completed 56 of her science problems and her mom checked 23 of the assignment, her mom checked 23 / 56 = 0.41 or 41% of the assignment.
6. If Paige decided to paint 45 of the rooms in her home last year and she completed 23 rooms, she painted 23 / 45 = 0.51 or 51% of her home last year.
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
9312
minutes
93 and 1 halfminutes
7314
minutes
73 and 1 fourthminutes
71 minutes
71 minutes
5314
minutes
53 and 1 fourthminutes
4912
minutes
49 and 1 halfminutes
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
645
645
45
45
390
390
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
13
1 third
18
1 eighth
16
1 sixth
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
12 packets
12 packets
18 packets
18 packets
8 packets
8 packets
9 packets
9 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
54
5 fourths
59
5 ninths
13
1 third
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
615
6 over 15
13
1 third
23
2 thirds
815
8 over 15
29
2 ninths
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21 answers
QUESTION NUMER 1.
how many minutes and hours did she spend
how many minutes and hours did she spend
To convert the number of minutes into hours and minutes, we can divide the total number of minutes by 60.
Sarah spent 3512 minutes studying.
Dividing 3512 by 60, we get 58 hours and 32 minutes.
Therefore, Sarah spent 58 hours and 32 minutes studying.
Sarah spent 3512 minutes studying.
Dividing 3512 by 60, we get 58 hours and 32 minutes.
Therefore, Sarah spent 58 hours and 32 minutes studying.
1. Yesterday, Sarah spent 35 1/2
minutes studying for a test. Emma spent 1 1/2
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses
9312
minutes
93 and 1 halfminutes
7314
minutes
73 and 1 fourthminutes
71 minutes
71 minutes
5314
minutes
53 and 1 fourthminutes
4912
minutes
49 and 1 halfminutes
minutes studying for a test. Emma spent 1 1/2
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses
9312
minutes
93 and 1 halfminutes
7314
minutes
73 and 1 fourthminutes
71 minutes
71 minutes
5314
minutes
53 and 1 fourthminutes
4912
minutes
49 and 1 halfminutes
To find out how many minutes Emma spent studying, we need to calculate 1 1/2 times the amount Sarah spent.
Sarah spent 35 1/2 minutes studying.
To find 1 1/2 times that amount, we multiply 35 1/2 by 1 1/2.
35 1/2 * 1 1/2 = 53 1/4
Therefore, Emma spent 53 1/4 minutes studying.
Sarah spent 35 1/2 minutes studying.
To find 1 1/2 times that amount, we multiply 35 1/2 by 1 1/2.
35 1/2 * 1 1/2 = 53 1/4
Therefore, Emma spent 53 1/4 minutes studying.
2. A middle school band as 2/9
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
645
645
45
45
390
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
645
645
45
45
390
To find out how many members are in the middle school band, we need to calculate the fraction of the high school band's members that represents the middle school band.
The middle school band has 2/9 as many members as the high school band, which has 502 members.
To find the number of members in the middle school band, we calculate 2/9 * 502.
(2/9) * 502 = 111.56
Therefore, there are approximately 112 members in the middle school band.
The middle school band has 2/9 as many members as the high school band, which has 502 members.
To find the number of members in the middle school band, we calculate 2/9 * 502.
(2/9) * 502 = 111.56
Therefore, there are approximately 112 members in the middle school band.
3. How much cake will each member of the team get if 6 members share 3/4
of a cake equally?(1 point)
Responses
13
1 third
18
1 eighth
16
1 sixth
14
of a cake equally?(1 point)
Responses
13
1 third
18
1 eighth
16
1 sixth
14
To find out how much cake each member of the team will get, we need to divide the total amount of cake (3/4) by the number of members (6).
To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.
(3/4) ÷ 6 = (3/4) * (1/6) = 3/24 = 1/8
Therefore, each member of the team will get 1/8 of the cake.
To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number.
(3/4) ÷ 6 = (3/4) * (1/6) = 3/24 = 1/8
Therefore, each member of the team will get 1/8 of the cake.
4. Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 3/8
of the packets, how many did they share?(1 point)
Responses
12 packets
12 packets
18 packets
18 packets
8 packets
8 packets
9 packets
of the packets, how many did they share?(1 point)
Responses
12 packets
12 packets
18 packets
18 packets
8 packets
8 packets
9 packets
To find out how many packets the chorus students shared, we need to multiply the total number of packets (24) by the fraction of packets they decided to share (3/8).
To multiply a whole number by a fraction, we multiply the whole number by the numerator and then divide by the denominator.
24 * (3/8) = (24 * 3) / 8 = 72 / 8 = 9
Therefore, the chorus students shared 9 packets.
To multiply a whole number by a fraction, we multiply the whole number by the numerator and then divide by the denominator.
24 * (3/8) = (24 * 3) / 8 = 72 / 8 = 9
Therefore, the chorus students shared 9 packets.
5. Celeste completed 5/6
of her science problems. Her mom checked 2/3
of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
16
1 sixth
54
5 fourths
59
5 ninths
13
1 third
Question 6
6. Paige decided to paint 4/5
of the rooms in her home last year. By the end of the year, Paige completed 2/5
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
615
6 over 15
13
1 third
23
2 thirds
815
8 over 15
29
of her science problems. Her mom checked 2/3
of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
16
1 sixth
54
5 fourths
59
5 ninths
13
1 third
Question 6
6. Paige decided to paint 4/5
of the rooms in her home last year. By the end of the year, Paige completed 2/5
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
615
6 over 15
13
1 third
23
2 thirds
815
8 over 15
29
5. To find out what fraction of the assignment Celeste's mom checked, we need to multiply the fraction of problems Celeste completed (5/6) by the fraction of the assignment her mom checked (2/3).
To multiply fractions, we multiply the numerators together and then the denominators together:
(5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18 = 5/9
Therefore, Celeste's mom checked 5/9 of the assignment.
6. To find out what fraction of Paige's home was painted last year, we need to subtract the fraction of rooms Paige completed (2/5) from the fraction of rooms she decided to paint (4/5).
To subtract fractions, we find a common denominator and then subtract the numerators:
(4/5) - (2/5) = (4 - 2) / 5 = 2/5
Therefore, 2/5 of Paige's home was painted last year.
To multiply fractions, we multiply the numerators together and then the denominators together:
(5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18 = 5/9
Therefore, Celeste's mom checked 5/9 of the assignment.
6. To find out what fraction of Paige's home was painted last year, we need to subtract the fraction of rooms Paige completed (2/5) from the fraction of rooms she decided to paint (4/5).
To subtract fractions, we find a common denominator and then subtract the numerators:
(4/5) - (2/5) = (4 - 2) / 5 = 2/5
Therefore, 2/5 of Paige's home was painted last year.
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
6/15
6 over 15
1/3
1 third
23
2 thirds
8/15
8 over 15
2/9
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
6/15
6 over 15
1/3
1 third
23
2 thirds
8/15
8 over 15
2/9
To find out how much of Paige's home was painted last year, we need to subtract the fraction of rooms Paige completed (23) from the fraction of rooms she decided to paint (45).
To subtract fractions, we find a common denominator and then subtract the numerators:
45 - 23 = 22
Therefore, 22/45 of Paige's home was painted last year.
To subtract fractions, we find a common denominator and then subtract the numerators:
45 - 23 = 22
Therefore, 22/45 of Paige's home was painted last year.
6. simplified
To simplify the fraction 22/45, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case since 22 and 45 share no common factors other than 1.
So, the simplified fraction is:
22/45
So, the simplified fraction is:
22/45
6. from one of my multibe choice answers
One of the multiple-choice answers given was "8/15." To determine if this is the correct answer, we can evaluate if 22/45 is equivalent to 8/15:
To find out if two fractions are equivalent, we can cross-multiply and compare the products:
(22 * 15) = 330
(45 * 8) = 360
Since 330 is not equal to 360, we can conclude that 22/45 is not equivalent to 8/15.
Therefore, the correct fraction representing how much of Paige's home was painted last year is 22/45, not 8/15.
To find out if two fractions are equivalent, we can cross-multiply and compare the products:
(22 * 15) = 330
(45 * 8) = 360
Since 330 is not equal to 360, we can conclude that 22/45 is not equivalent to 8/15.
Therefore, the correct fraction representing how much of Paige's home was painted last year is 22/45, not 8/15.
6. Paige decided to paint 4/5
of the rooms in her home last year. By the end of the year, Paige completed 2/5
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
6/15
6 over 15
1/3
1 third
23
2 thirds
8/15
8 over 15
2/9
of the rooms in her home last year. By the end of the year, Paige completed 2/5
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
6/15
6 over 15
1/3
1 third
23
2 thirds
8/15
8 over 15
2/9
To find out how much of Paige's home was painted last year, we need to subtract the fraction of rooms Paige completed (2/5) from the fraction of rooms she decided to paint (4/5).
To subtract fractions, we find a common denominator and then subtract the numerators:
4/5 - 2/5 = (4 - 2) / 5 = 2/5
Therefore, 2/5 of Paige's home was painted last year.
To subtract fractions, we find a common denominator and then subtract the numerators:
4/5 - 2/5 = (4 - 2) / 5 = 2/5
Therefore, 2/5 of Paige's home was painted last year.