1. Yesterday, Sarah spent 3512minutes studying for a test. Emma spent 112times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses
7314minutes
73 and 1 fourthminutes
71 minutes
71 minutes
5314minutes
53 and 1 fourthminutes
9312minutes
93 and 1 halfminutes
4912minutes
49 and 1 halfminutes
Question 2
2. A middle school band as 29as 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
45
45
112
112
645
645
390
390
Question 3
3. How much cake will each member of the team get if 6 members share 34of a cake equally?(1 point)
Responses
13
1 third
14
1 fourth
16
1 sixth
18
1 eighth
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
18 packets
18 packets
12 packets
12 packets
9 packets
9 packets
Question 5
5. Celeste completed 56of her science problems. Her mom checked 23of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
16
1 sixth
59
5 ninths
13
1 third
54
5 fourths
Question 6
6. Paige decided to paint 45of the rooms in her home last year. By the end of the year, Paige completed 23of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
13
1 third
815
8 over 15
615
6 over 15
29
2 ninths
23
17 answers
23
Answer all of them
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?
Emma spent 3512 * 112 = 393,344 minutes studying.
2. A middle school band has 29 times 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?
The middle school band has 502 * 29 = 14,558 members.
3. How much cake will each member of the team get if 6 members share 34 of a cake equally?
Each member will get 34/6 = 5 and 2/3 of a cake.
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?
They shared 38 packets.
5. Celeste completed 56 of her science problems. Her mom checked 23 of the assignment. What fraction of the assignment did her mom check?
Her mom checked 23/56 of the assignment.
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?
Paige painted 23/45 of her home last year.
Emma spent 3512 * 112 = 393,344 minutes studying.
2. A middle school band has 29 times 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?
The middle school band has 502 * 29 = 14,558 members.
3. How much cake will each member of the team get if 6 members share 34 of a cake equally?
Each member will get 34/6 = 5 and 2/3 of a cake.
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?
They shared 38 packets.
5. Celeste completed 56 of her science problems. Her mom checked 23 of the assignment. What fraction of the assignment did her mom check?
Her mom checked 23/56 of the assignment.
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?
Paige painted 23/45 of her home last year.
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
45
45
112
112
645
645
390
390
Question 3
3. How much cake will each member of the team get if 6 members share 3/4of a cake equally?(1 point)
Responses
1 third
1 fourth
1 sixth
1 eighth
Question 4
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
8 packets
8 packets
18 packets
18 packets
12 packets
12 packets
9 packets
9 packets
Question 5
5. Celeste completed 5/6of her science problems. Her mom checked 2/3of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
1 sixth
5 ninths
1 thirds
5 fourths
Question 6
6. Paige decided to paint 4/5of the rooms in her home last year. By the end of the year, Paige completed 2/3of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
1 third
8 over 15
6 over 15
2 ninths
18/15
1/3
Responses
45
45
112
112
645
645
390
390
Question 3
3. How much cake will each member of the team get if 6 members share 3/4of a cake equally?(1 point)
Responses
1 third
1 fourth
1 sixth
1 eighth
Question 4
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
8 packets
8 packets
18 packets
18 packets
12 packets
12 packets
9 packets
9 packets
Question 5
5. Celeste completed 5/6of her science problems. Her mom checked 2/3of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
1 sixth
5 ninths
1 thirds
5 fourths
Question 6
6. Paige decided to paint 4/5of the rooms in her home last year. By the end of the year, Paige completed 2/3of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
1 third
8 over 15
6 over 15
2 ninths
18/15
1/3
2. A middle school band has 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?
The middle school band has (2/9) * 502 = 111.555 members. Since the number of band members cannot be fractional, the closest whole number approximation would be 112 members.
3. How much cake will each member of the team get if 6 members share 3/4 of a cake equally?
Each member will get (3/4) / 6 = 1/8 of a 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?
They shared (3/8) * 24 = 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?
Her mom checked (2/3) * (5/6) = 10/18 = 5/9 of the assignment.
6. Paige decided to paint 4/5 of the rooms in her home last year. By the end of the year, Paige completed 2/3 of the rooms. How much of Paige's home was painted last year?
Paige painted (4/5) * (2/3) = 8/15 of her home last year.
The middle school band has (2/9) * 502 = 111.555 members. Since the number of band members cannot be fractional, the closest whole number approximation would be 112 members.
3. How much cake will each member of the team get if 6 members share 3/4 of a cake equally?
Each member will get (3/4) / 6 = 1/8 of a 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?
They shared (3/8) * 24 = 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?
Her mom checked (2/3) * (5/6) = 10/18 = 5/9 of the assignment.
6. Paige decided to paint 4/5 of the rooms in her home last year. By the end of the year, Paige completed 2/3 of the rooms. How much of Paige's home was painted last year?
Paige painted (4/5) * (2/3) = 8/15 of her home last year.
Yesterday, Sarah spent 35 1/2minutes studying for a test. Emma spent 1 1/2times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses
73 and 1 fourthminutes
71 minutes
53 and 1 fourthminutes
93 and 1 halfminutes
49 and 1 halfminutes
Responses
73 and 1 fourthminutes
71 minutes
53 and 1 fourthminutes
93 and 1 halfminutes
49 and 1 halfminutes
To find the amount of time Emma spent studying, we need to multiply Sarah's studying time by 1 1/2.
35 1/2 minutes * 1 1/2 = 53 and 1/4 minutes
Therefore, Emma spent 53 and 1/4 minutes studying.
35 1/2 minutes * 1 1/2 = 53 and 1/4 minutes
Therefore, Emma spent 53 and 1/4 minutes studying.
Divide −3/17 by −2/3(1 point)
Responses
negative 9 over 34
2 over 17
negative 2 over 17
9 over 34
Question 6
12. Divide −4/9 by 4/7.(1 point)
Responses
negative 16 over 63
negative 9 sevenths
negative 7 ninths
7 ninths
Question 7
13. How is the sign of the quotient determined?(1 point)
Responses
The quotient is negative if signs of the divisor and dividend are like.
The quotient is negative if signs of the divisor and dividend are like.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the larger number.
The quotient is positive if signs of the divisor and dividend are like.
Responses
negative 9 over 34
2 over 17
negative 2 over 17
9 over 34
Question 6
12. Divide −4/9 by 4/7.(1 point)
Responses
negative 16 over 63
negative 9 sevenths
negative 7 ninths
7 ninths
Question 7
13. How is the sign of the quotient determined?(1 point)
Responses
The quotient is negative if signs of the divisor and dividend are like.
The quotient is negative if signs of the divisor and dividend are like.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the larger number.
The quotient is positive if signs of the divisor and dividend are like.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
For -3/17 divided by -2/3:
-3/17 * 3/-2 = -9/34
Therefore, the answer is negative 9 over 34.
For -4/9 divided by 4/7:
-4/9 * 7/4 = -28/36 = -7/9
Therefore, the answer is negative 7 ninths.
The sign of the quotient is determined by the signs of the divisor and dividend. Specifically, the quotient will be negative if the signs of the divisor and dividend are opposite, and positive if the signs are the same.
For -3/17 divided by -2/3:
-3/17 * 3/-2 = -9/34
Therefore, the answer is negative 9 over 34.
For -4/9 divided by 4/7:
-4/9 * 7/4 = -28/36 = -7/9
Therefore, the answer is negative 7 ninths.
The sign of the quotient is determined by the signs of the divisor and dividend. Specifically, the quotient will be negative if the signs of the divisor and dividend are opposite, and positive if the signs are the same.
Multiply: −1/3⋅−5/8(1 point)
Responses
negative 5 over 576
8 over 15
negative 5 over 24
5 over 24
Question 2
15. Find the product.
-5(-10)(12)
(1 point)
Responses
-600
-600
-6000
-6000
600
600
120
120
-12000
-12000
Question 3
16. If the Walkers deducted $850 each month last year from their checking account to pay for childcare, what was the effect on their checking account balance?(1 point)
Responses
-$10,200
-$10,200
$10,200
$10,200
-$850
-$850
$850
Responses
negative 5 over 576
8 over 15
negative 5 over 24
5 over 24
Question 2
15. Find the product.
-5(-10)(12)
(1 point)
Responses
-600
-600
-6000
-6000
600
600
120
120
-12000
-12000
Question 3
16. If the Walkers deducted $850 each month last year from their checking account to pay for childcare, what was the effect on their checking account balance?(1 point)
Responses
-$10,200
-$10,200
$10,200
$10,200
-$850
-$850
$850
To multiply fractions, we simply multiply the numerators and denominators.
For -1/3 * -5/8:
-1 * -5 = 5
3 * 8 = 24
Therefore, the product is 5/24.
For -5(-10)(12):
-5 * -10 * 12 = 600
Therefore, the product is 600.
If the Walkers deducted $850 each month last year from their checking account to pay for childcare, the effect on their checking account balance would be -$850 each month. However, to determine the total effect on their checking account balance for the entire year, we would need to know the number of months.
For -1/3 * -5/8:
-1 * -5 = 5
3 * 8 = 24
Therefore, the product is 5/24.
For -5(-10)(12):
-5 * -10 * 12 = 600
Therefore, the product is 600.
If the Walkers deducted $850 each month last year from their checking account to pay for childcare, the effect on their checking account balance would be -$850 each month. However, to determine the total effect on their checking account balance for the entire year, we would need to know the number of months.
Deborah hired Nick to remove leaves, aerate the lawn, and plant 3 flower beds. If Nick spends 4.2 hours working on Deborah’s lawn, what is his hourly earnings for the job?
Hint: Each price listed in the chart is a flat fee for the service.
(1 point)
Responses
$93.75
$93.75
$375.00
$375.00
$79.76
$79.76
$89.29
$89.29
Question 5
18. Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?(1 point)
Responses
$117
$117
-$117
-$117
$936
$936
-$936
-$936
Question 6
19. After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?(1 point)
Responses
-108 inches
-108 inches
-18 inches
-18 inches
108 inches
108 inches
18 inches
18 inches
Question 7
20. Find the product.
−47(−112)
(1 point)
Responses
227
22 sevenths
4114
41 over 14
−227
negative 22 sevenths
−4114
negative 41 over 14
Question 8
21. Find the product.
9(−37)(Deborah hired Nick to remove leaves, aerate the lawn, and plant 3 flower beds. If Nick spends 4.2 hours working on Deborah’s lawn, what is his hourly earnings for the job?
Hint: Each price listed in the chart is a flat fee for the service.
(1 point)
Responses
$93.75
$93.75
$375.00
$375.00
$79.76
$79.76
$89.29
$89.29
Question 5
18. Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?(1 point)
Responses
$117
$117
-$117
-$117
$936
$936
-$936
-$936
Question 6
19. After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?(1 point)
Responses
-108 inches
-108 inches
-18 inches
-18 inches
108 inches
108 inches
18 inches
18 inches
Question 7
20. Find the product.
−4/7(−11/2)
(1 point)
Responses
22 sevenths
41 over 14
negative 22 sevenths
negative 41 over 14
Question 8
21. Find the product.
9(−37)(−13)
(1 point)
Responses
9 sevenths
3 sevenths
negative 9 sevenths
9 ( -3/7) (-1/3)
(1 point)
Responses
9 sevenths
3 sevenths
negative 9 sevenths
−37
Hint: Each price listed in the chart is a flat fee for the service.
(1 point)
Responses
$93.75
$93.75
$375.00
$375.00
$79.76
$79.76
$89.29
$89.29
Question 5
18. Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?(1 point)
Responses
$117
$117
-$117
-$117
$936
$936
-$936
-$936
Question 6
19. After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?(1 point)
Responses
-108 inches
-108 inches
-18 inches
-18 inches
108 inches
108 inches
18 inches
18 inches
Question 7
20. Find the product.
−47(−112)
(1 point)
Responses
227
22 sevenths
4114
41 over 14
−227
negative 22 sevenths
−4114
negative 41 over 14
Question 8
21. Find the product.
9(−37)(Deborah hired Nick to remove leaves, aerate the lawn, and plant 3 flower beds. If Nick spends 4.2 hours working on Deborah’s lawn, what is his hourly earnings for the job?
Hint: Each price listed in the chart is a flat fee for the service.
(1 point)
Responses
$93.75
$93.75
$375.00
$375.00
$79.76
$79.76
$89.29
$89.29
Question 5
18. Over the past 8 months, Devon made payments for a total of $936 to pay for internet service. The service is the same amount each month. What was the change in Devon’s account each month after paying for the service?(1 point)
Responses
$117
$117
-$117
-$117
$936
$936
-$936
-$936
Question 6
19. After exposure to an amazing stretching machine, Alexander’s height increased by 108 inches over 6 minutes. His height increased by the same amount each minute. What was the effect on Alexander’s height each minute?(1 point)
Responses
-108 inches
-108 inches
-18 inches
-18 inches
108 inches
108 inches
18 inches
18 inches
Question 7
20. Find the product.
−4/7(−11/2)
(1 point)
Responses
22 sevenths
41 over 14
negative 22 sevenths
negative 41 over 14
Question 8
21. Find the product.
9(−37)(−13)
(1 point)
Responses
9 sevenths
3 sevenths
negative 9 sevenths
9 ( -3/7) (-1/3)
(1 point)
Responses
9 sevenths
3 sevenths
negative 9 sevenths
−37
To find Nick's hourly earnings for the job, we need to divide the total payment by the number of hours worked.
Since we don't have the payment amount listed, we cannot determine the specific hourly earnings.
For the remaining questions, I will provide the answers:
Question 5: The change in Devon's account each month after paying for the service is $117.
Question 6: The effect on Alexander's height each minute is 18 inches.
Question 7: The product of -47 and -112 is 5,264.
Question 8: The product of 9, -37, and -13 is 4,617.
Since we don't have the payment amount listed, we cannot determine the specific hourly earnings.
For the remaining questions, I will provide the answers:
Question 5: The change in Devon's account each month after paying for the service is $117.
Question 6: The effect on Alexander's height each minute is 18 inches.
Question 7: The product of -47 and -112 is 5,264.
Question 8: The product of 9, -37, and -13 is 4,617.
Find the product.
−4/7(−11/2)
(1 point)
Responses
22 sevenths
41 over 14
−
negative 22 sevenths
negative 41 over 14
Question 8
21. Find the product.
9(−3/7)(−1/3)
(1 point)
Responses
9 sevenths
3 sevenths
negative 9 sevenths
−4/7(−11/2)
(1 point)
Responses
22 sevenths
41 over 14
−
negative 22 sevenths
negative 41 over 14
Question 8
21. Find the product.
9(−3/7)(−1/3)
(1 point)
Responses
9 sevenths
3 sevenths
negative 9 sevenths
To find the product of −4/7 and −11/2:
−4/7 * −11/2 = 44/14 = 22/7
Therefore, the product is 22/7.
To find the product of 9, −3/7, and −1/3:
9 * −3/7 * −1/3 = 27/21 = 9/7
Therefore, the product is 9/7.
−4/7 * −11/2 = 44/14 = 22/7
Therefore, the product is 22/7.
To find the product of 9, −3/7, and −1/3:
9 * −3/7 * −1/3 = 27/21 = 9/7
Therefore, the product is 9/7.
Convert 5 18 25 to a decimal.(1 point)
Responses
0.72
0.72
5.72
5.72
5.9
5.9
5.1825
5.1825
Question 2
23. The decimal 0.013 can be written as(1 point)
Responses
13 over 100
13 over 1000
13 over 10000
1 point 3 over 10
Question 3
24. Which fraction is equal to 0.75?(1 point)
Responses
3 fourths
3 fifths
1 fourth
7 fifths
Question 4
25. Write 13 25as a decimal.(1 point)
Responses
0.65
0.65
0.1325
0.1325
0.052
0.052
0.52
Responses
0.72
0.72
5.72
5.72
5.9
5.9
5.1825
5.1825
Question 2
23. The decimal 0.013 can be written as(1 point)
Responses
13 over 100
13 over 1000
13 over 10000
1 point 3 over 10
Question 3
24. Which fraction is equal to 0.75?(1 point)
Responses
3 fourths
3 fifths
1 fourth
7 fifths
Question 4
25. Write 13 25as a decimal.(1 point)
Responses
0.65
0.65
0.1325
0.1325
0.052
0.052
0.52
To convert 5 18 25 to a decimal, we can simply combine the whole number, the decimal, and the fraction:
5.1825
Therefore, the decimal form of 5 18 25 is 5.1825.
The decimal 0.013 can be written as 13 over 1000.
The fraction that is equal to 0.75 is 3 fourths.
To write 13 25 as a decimal, we can simply combine the whole number and the fraction:
13 25 = 13.25
Therefore, the decimal form of 13 25 is 13.25.
5.1825
Therefore, the decimal form of 5 18 25 is 5.1825.
The decimal 0.013 can be written as 13 over 1000.
The fraction that is equal to 0.75 is 3 fourths.
To write 13 25 as a decimal, we can simply combine the whole number and the fraction:
13 25 = 13.25
Therefore, the decimal form of 13 25 is 13.25.