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?
35 answers
Emma spent 3512*112 = <<3512*112=393344>>393344 minutes studying. Answer: \boxed{393344}.
Yesterday, Sarah spent 35/12
minutes studying for a test. Emma spent 1/12
times that amount studying for a different test. How many minutes did Emma spend studying?
minutes studying for a test. Emma spent 1/12
times that amount studying for a different test. How many minutes did Emma spend studying?
To find the amount of time Emma spent studying, we need to multiply Sarah's study time by 1/12.
Emma's study time = (35/12) * (1/12) = (35 * 1) / (12 * 12) = 35 / 144
Therefore, Emma spent 35/144 minutes studying. Answer: \boxed{\frac{35}{144}}.
Emma's study time = (35/12) * (1/12) = (35 * 1) / (12 * 12) = 35 / 144
Therefore, Emma spent 35/144 minutes studying. Answer: \boxed{\frac{35}{144}}.
Yesterday, Sarah spent 35/12
minutes studying for a test. Emma spent 1/12
times that amount studying for a different test. How many minutes did Emma spend studying?
93 1/2
minutes
53 1/4
minutes
73 1/4
minutes
49 1/2
minutes
71 minutes
minutes studying for a test. Emma spent 1/12
times that amount studying for a different test. How many minutes did Emma spend studying?
93 1/2
minutes
53 1/4
minutes
73 1/4
minutes
49 1/2
minutes
71 minutes
To find the amount of time Emma spent studying, we need to multiply Sarah's study time by 1/12.
Emma's study time = (35/12) * (1/12) = (35 * 1) / (12 * 12) = 35 / 144
We can now simplify the fraction 35/144.
35/144 = 5/20 * 7/9 = 1/4 * 7/9 = 7/36
Therefore, Emma spent 7/36 minutes studying.
Since we don't have a multiple choice option that matches this answer exactly, we can convert it to the nearest whole number or mixed number.
Converting 7/36 to a mixed number, we get 0 7/36.
Therefore, Emma spent 0 minutes and 7/36 minutes studying, which is approximately 0 hours and 12 seconds.
So the correct answer would be 0 minutes.
Emma's study time = (35/12) * (1/12) = (35 * 1) / (12 * 12) = 35 / 144
We can now simplify the fraction 35/144.
35/144 = 5/20 * 7/9 = 1/4 * 7/9 = 7/36
Therefore, Emma spent 7/36 minutes studying.
Since we don't have a multiple choice option that matches this answer exactly, we can convert it to the nearest whole number or mixed number.
Converting 7/36 to a mixed number, we get 0 7/36.
Therefore, Emma spent 0 minutes and 7/36 minutes studying, which is approximately 0 hours and 12 seconds.
So the correct answer would be 0 minutes.
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?
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?
If the middle school band has 2/9 as many members as the high school band, we can find the number of members in the middle school band by multiplying 2/9 by the number of members in the high school band.
Number of members in middle school band = (2/9) * 502
To simplify this fraction, we can multiply the numerator by the same number we multiplied the denominator by to obtain an equivalent fraction. In this case, we multiply the numerator by 502.
Number of members in middle school band = (2 * 502) / 9 = 1004 / 9
Since we are asked to approximate the number of members, we can divide the numerator by the denominator and round to the nearest whole number.
Number of members in middle school band ≈ 1004 / 9 ≈ 111.5556
Rounding to the nearest whole number, the middle school band has about 112 members.
Number of members in middle school band = (2/9) * 502
To simplify this fraction, we can multiply the numerator by the same number we multiplied the denominator by to obtain an equivalent fraction. In this case, we multiply the numerator by 502.
Number of members in middle school band = (2 * 502) / 9 = 1004 / 9
Since we are asked to approximate the number of members, we can divide the numerator by the denominator and round to the nearest whole number.
Number of members in middle school band ≈ 1004 / 9 ≈ 111.5556
Rounding to the nearest whole number, the middle school band has about 112 members.
How much cake will each member of the team get if 6 members share 3/4
of a cake equally?
of a cake equally?
To find out how much cake each member of the team will get, we need to divide the amount of cake by the number of members.
The amount of cake shared is 3/4.
To divide the cake equally among the 6 members, we need to divide 3/4 by 6.
(3/4) ÷ 6 = (3/4) × (1/6) = 3/24 = 1/8
Therefore, each member of the team will get 1/8 of a cake.
The amount of cake shared is 3/4.
To divide the cake equally among the 6 members, we need to divide 3/4 by 6.
(3/4) ÷ 6 = (3/4) × (1/6) = 3/24 = 1/8
Therefore, each member of the team will get 1/8 of a cake.
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?
of the packets, how many did they share?
To find out how many packets of sheet music the chorus students shared, we need to multiply the total number of packets by 3/8.
Total number of packets of sheet music = 24
Number of packets shared = 24 * 3/8
To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.
Number of packets shared = (24 * 3) / 8 = 72/8
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 8 in this case.
Number of packets shared = 9
Therefore, the chorus students shared 9 packets of sheet music.
Total number of packets of sheet music = 24
Number of packets shared = 24 * 3/8
To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.
Number of packets shared = (24 * 3) / 8 = 72/8
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 8 in this case.
Number of packets shared = 9
Therefore, the chorus students shared 9 packets of sheet music.
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?
of her science problems. Her mom checked 2/3
of the assignment. What fraction of the assignment did her mom check?
To find the fraction of the assignment that Celeste's mom checked, we need to multiply the fraction of the problems Celeste completed by the fraction her mom checked.
Fraction of problems Celeste completed = 5/6
Fraction her mom checked = 2/3
To multiply fractions, we multiply the numerators together and the denominators together.
Fraction her mom checked = (5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case.
Fraction her mom checked = 5/9
Therefore, Celeste's mom checked 5/9 of the assignment.
Fraction of problems Celeste completed = 5/6
Fraction her mom checked = 2/3
To multiply fractions, we multiply the numerators together and the denominators together.
Fraction her mom checked = (5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case.
Fraction her mom checked = 5/9
Therefore, Celeste's mom checked 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?(1 point)
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?(1 point)
To find out how much of Paige's home was painted last year, we need to multiply the fraction of rooms she decided to paint by the fraction of rooms she completed.
Fraction of rooms Paige decided to paint = 4/5
Fraction of rooms Paige completed = 2/3
To multiply fractions, we multiply the numerators together and the denominators together.
Fraction of Paige's home painted = (4/5) * (2/3) = (4 * 2) / (5 * 3) = 8/15
Therefore, 8/15 of Paige's home was painted last year.
Fraction of rooms Paige decided to paint = 4/5
Fraction of rooms Paige completed = 2/3
To multiply fractions, we multiply the numerators together and the denominators together.
Fraction of Paige's home painted = (4/5) * (2/3) = (4 * 2) / (5 * 3) = 8/15
Therefore, 8/15 of Paige's home was painted last year.
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
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
To find out how many minutes Emma spent studying, we need to multiply Sarah's study time by 1 1/2.
Sarah's study time = 35 1/2 minutes
Emma's study time = (35 1/2) * (1 1/2)
First, let's convert the mixed numbers to improper fractions.
35 1/2 = 71/2
1 1/2 = 3/2
Now we can multiply the fractions.
Emma's study time = (71/2) * (3/2) = (71 * 3) / (2 * 2) = 213/4
Therefore, Emma spent 213/4 minutes studying.
Sarah's study time = 35 1/2 minutes
Emma's study time = (35 1/2) * (1 1/2)
First, let's convert the mixed numbers to improper fractions.
35 1/2 = 71/2
1 1/2 = 3/2
Now we can multiply the fractions.
Emma's study time = (71/2) * (3/2) = (71 * 3) / (2 * 2) = 213/4
Therefore, Emma spent 213/4 minutes studying.
whats 213/4 as a mixed number
To convert the fraction 213/4 to a mixed number, we divide the numerator (213) by the denominator (4).
213 ÷ 4 = 53 remainder 1
This means that we can fit 53 whole numbers of 4 in 213, with a remainder of 1.
Therefore, the mixed number representation is 53 1/4.
So, 213/4 can be written as the mixed number 53 1/4.
213 ÷ 4 = 53 remainder 1
This means that we can fit 53 whole numbers of 4 in 213, with a remainder of 1.
Therefore, the mixed number representation is 53 1/4.
So, 213/4 can be written as the mixed number 53 1/4.
What is 3/8÷2
To divide a fraction by a whole number, we can simply multiply the fraction by the reciprocal of the whole number.
Reciprocal of 2 = 1/2
So, 3/8 ÷ 2 = 3/8 * 1/2
To multiply fractions, we multiply the numerators together and the denominators together.
(3/8) * (1/2) = (3 * 1) / (8 * 2) = 3/16
Therefore, 3/8 ÷ 2 = 3/16.
Reciprocal of 2 = 1/2
So, 3/8 ÷ 2 = 3/8 * 1/2
To multiply fractions, we multiply the numerators together and the denominators together.
(3/8) * (1/2) = (3 * 1) / (8 * 2) = 3/16
Therefore, 3/8 ÷ 2 = 3/16.
2 1/3÷2/5
To divide a mixed number by a fraction, we first need to convert the mixed number into an improper fraction.
2 1/3 can be written as (2 * 3 + 1) / 3 = 7/3
So, 2 1/3 ÷ 2/5 = (7/3) ÷ (2/5)
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
(7/3) ÷ (2/5) = (7/3) * (5/2)
To multiply fractions, we multiply the numerators together and the denominators together.
(7/3) * (5/2) = (7 * 5) / (3 * 2) = 35/6
Therefore, 2 1/3 ÷ 2/5 = 35/6.
2 1/3 can be written as (2 * 3 + 1) / 3 = 7/3
So, 2 1/3 ÷ 2/5 = (7/3) ÷ (2/5)
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
(7/3) ÷ (2/5) = (7/3) * (5/2)
To multiply fractions, we multiply the numerators together and the denominators together.
(7/3) * (5/2) = (7 * 5) / (3 * 2) = 35/6
Therefore, 2 1/3 ÷ 2/5 = 35/6.
WHAT IS 35/6 AS A MIXED NUMBER
To convert the improper fraction 35/6 to a mixed number, we divide the numerator (35) by the denominator (6).
35 ÷ 6 = 5 with a remainder of 5.
This means that we can fit 5 whole numbers of 6 in 35, with a remainder of 5.
Therefore, the mixed number representation is 5 5/6.
So, 35/6 can be written as the mixed number 5 5/6.
35 ÷ 6 = 5 with a remainder of 5.
This means that we can fit 5 whole numbers of 6 in 35, with a remainder of 5.
Therefore, the mixed number representation is 5 5/6.
So, 35/6 can be written as the mixed number 5 5/6.
84 by -7
To divide 84 by -7, we simply perform the division operation.
84 ÷ -7 = -12
Therefore, 84 divided by -7 equals -12.
84 ÷ -7 = -12
Therefore, 84 divided by -7 equals -12.
How many 4/3
pint servings are in 28/3
pints of milk?(1 point)
Responses
9 servings
9 servings
5 servings
5 servings
6 servings
6 servings
7 servings
pint servings are in 28/3
pints of milk?(1 point)
Responses
9 servings
9 servings
5 servings
5 servings
6 servings
6 servings
7 servings
To find out how many 4/3 pint servings are in 28/3 pints of milk, we need to divide the total amount of milk by the amount of milk in each serving.
Total amount of milk = 28/3 pints
Amount of milk in each serving = 4/3 pints
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Number of servings = (28/3) ÷ (4/3)
(28/3) ÷ (4/3) = (28/3) * (3/4) = (28 * 3) / (3 * 4) = 84/12
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 12 in this case.
Number of servings = 7
Therefore, there are 7 servings of 4/3 pint in 28/3 pints of milk.
Total amount of milk = 28/3 pints
Amount of milk in each serving = 4/3 pints
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Number of servings = (28/3) ÷ (4/3)
(28/3) ÷ (4/3) = (28/3) * (3/4) = (28 * 3) / (3 * 4) = 84/12
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 12 in this case.
Number of servings = 7
Therefore, there are 7 servings of 4/3 pint in 28/3 pints of milk.
Divide −3/17
by −2/3
(1 point)
Responses
−934
negative 9 over 34
−217
negative 2 over 17
934
9 over 34
217
2 OVER 17
by −2/3
(1 point)
Responses
−934
negative 9 over 34
−217
negative 2 over 17
934
9 over 34
217
2 OVER 17
To divide -3/17 by -2/3, we multiply the first fraction by the reciprocal of the second fraction.
Reciprocal of -2/3 is -3/2.
So, (-3/17) ÷ (-2/3) = (-3/17) * (-3/2)
To multiply fractions, we multiply the numerators together and the denominators together.
(-3/17) * (-3/2) = (3 * 3) / (17 * 2) = 9/34
Therefore, -3/17 ÷ -2/3 = 9/34.
Reciprocal of -2/3 is -3/2.
So, (-3/17) ÷ (-2/3) = (-3/17) * (-3/2)
To multiply fractions, we multiply the numerators together and the denominators together.
(-3/17) * (-3/2) = (3 * 3) / (17 * 2) = 9/34
Therefore, -3/17 ÷ -2/3 = 9/34.
12. Divide −4/9
by 4/7
.(1 point)
Responses
7/9
7 ninths
−9/7
negative 9 sevenths
−16/63
negative 16 over 63
−7/9
negative 7 ninths
Question 7
13. How is the sign of the quotient determined?(1 point)
Responses
The quotient is positive if signs of the divisor and dividend are like.
The quotient is positive if signs of the divisor and dividend are like.
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 larger number.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the smaller number.
Skip to navigation
by 4/7
.(1 point)
Responses
7/9
7 ninths
−9/7
negative 9 sevenths
−16/63
negative 16 over 63
−7/9
negative 7 ninths
Question 7
13. How is the sign of the quotient determined?(1 point)
Responses
The quotient is positive if signs of the divisor and dividend are like.
The quotient is positive if signs of the divisor and dividend are like.
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 larger number.
The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the smaller number.
The sign of the quotient is the same as the smaller number.
Skip to navigation
To divide -4/9 by 4/7, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 4/7 is 7/4.
So, (-4/9) ÷ (4/7) = (-4/9) * (7/4)
To multiply fractions, we multiply the numerators together and the denominators together.
(-4/9) * (7/4) = (4 * 7) / (9 * 4) = 28/36
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
28/36 = 7/9
Therefore, -4/9 ÷ 4/7 = 7/9.
The sign of the quotient is determined by the positive/negative signs of the original fractions. In this case, both fractions are negative, so the quotient is positive.
Hence, the answer is 7/9 and the statement "The quotient is positive if the signs of the divisor and dividend are like" is correct.
The reciprocal of 4/7 is 7/4.
So, (-4/9) ÷ (4/7) = (-4/9) * (7/4)
To multiply fractions, we multiply the numerators together and the denominators together.
(-4/9) * (7/4) = (4 * 7) / (9 * 4) = 28/36
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
28/36 = 7/9
Therefore, -4/9 ÷ 4/7 = 7/9.
The sign of the quotient is determined by the positive/negative signs of the original fractions. In this case, both fractions are negative, so the quotient is positive.
Hence, the answer is 7/9 and the statement "The quotient is positive if the signs of the divisor and dividend are like" is correct.
14. Multiply: −13⋅−58
(1 point)
Responses
−5576
negative 5 over 576
815
8 over 15
−524
negative 5 over 24
524
5 over 24
Question 2
15. Find the product.
-5(-10)(12)
(1 point)
Responses
120
120
-600
-600
600
600
-12000
-12000
-6000
-6000
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
-$850
-$850
$10,200
$10,200
$850
$850
-$10,200
-$10,200
Question 4
17. 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
$375.00
$375.00
$93.75
$93.75
$89.29
$89.29
$79.76
$79.76
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
$936
$936
$117
$117
-$936
-$936
-$117
-$117
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
-108 inches
-108 inches
-18 inches
-18 inches
18 inches
18 inches
Question 7
20. Find the product.
−47(−112)
(1 point)
Responses
−4114
negative 41 over 14
−227
negative 22 sevenths
4114
41 over 14
227
22 sevenths
Question 8
21. Find the product.
9(−37)(−13)
(1 point)
Responses
37
3 sevenths
−37
negative 3 sevenths
−97
negative 9 sevenths
97
9 sevenths
Skip to navigation
(1 point)
Responses
−5576
negative 5 over 576
815
8 over 15
−524
negative 5 over 24
524
5 over 24
Question 2
15. Find the product.
-5(-10)(12)
(1 point)
Responses
120
120
-600
-600
600
600
-12000
-12000
-6000
-6000
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
-$850
-$850
$10,200
$10,200
$850
$850
-$10,200
-$10,200
Question 4
17. 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
$375.00
$375.00
$93.75
$93.75
$89.29
$89.29
$79.76
$79.76
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
$936
$936
$117
$117
-$936
-$936
-$117
-$117
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
-108 inches
-108 inches
-18 inches
-18 inches
18 inches
18 inches
Question 7
20. Find the product.
−47(−112)
(1 point)
Responses
−4114
negative 41 over 14
−227
negative 22 sevenths
4114
41 over 14
227
22 sevenths
Question 8
21. Find the product.
9(−37)(−13)
(1 point)
Responses
37
3 sevenths
−37
negative 3 sevenths
−97
negative 9 sevenths
97
9 sevenths
Skip to navigation
14. The product of -13 and -58 is 754.
15. The Walkers deducted $850 each month from their checking account, so the effect on their checking account balance was -$850 each month.
16. To find Nick's hourly earnings for the job, we need more information about the flat fee for the service and how many hours it entails. The given information doesn't allow us to calculate his hourly earnings.
17. To find the change in Devon's account each month, we need to know how much he pays for the service each month. The given information doesn't provide that detail.
18. Alexander's height increased by 108 inches over 6 minutes, so the effect on his height each minute is an increase of 108/6 = 18 inches.
19. The product of -47 and -112 is 5264.
20. The product of 9, -37, and -13 is -4281.
15. The Walkers deducted $850 each month from their checking account, so the effect on their checking account balance was -$850 each month.
16. To find Nick's hourly earnings for the job, we need more information about the flat fee for the service and how many hours it entails. The given information doesn't allow us to calculate his hourly earnings.
17. To find the change in Devon's account each month, we need to know how much he pays for the service each month. The given information doesn't provide that detail.
18. Alexander's height increased by 108 inches over 6 minutes, so the effect on his height each minute is an increase of 108/6 = 18 inches.
19. The product of -47 and -112 is 5264.
20. The product of 9, -37, and -13 is -4281.
3 answers