Asked by e


(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
Answered by e
How many ounces are in 12 of 15 of a 10-ounce block of cheese?(1 point)
Answered by e
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese?(1 point)
Answered by e
A group of 9 people won 1/5 of a $4,500 prize. How much money did each person in the group win?(1 point)
$
Answered by e
Use the properties of operations and rules for multiplying and dividing to solve:

(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)

(1 point)
Responses

2/3
Start Fraction 2 over 3 End Fraction

−1/6
negative Start Fraction 1 over 6 End Fraction

−2/3
negative Start Fraction 2 over 3 End Fraction

1/6
Answered by e
(9)÷(5/4)×(7/9)×(−5)÷(7/2)

(1 point)
Responses

8
8

−1,225/8
negative Start Fraction 1,225 over 8 End Fraction

1,225/8
Start Fraction 1,225 over 8 End Fraction

−8
Answered by e
Solve this multi-step problem. A runner completes 1/4 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?(1 point)
Responses

1/10 mile
Start Fraction 1 over 10 End Fraction mile

2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles

1/8 mile
Start Fraction 1 over 8 End Fraction mile

160 miles
Answered by e
A water tank decreases by 10 gallons every 3 hours every day. What is the total change in the amount of water in the tank after 6 days?(1 point)
Responses

−480 gallons
negative 480 gallons

480 gallons
480 gallons

80 gallons
80 gallons

−80 gallons
negative 80 gallons
Answered by e
A recipe calls for 1/3 of a container of yogurt. Each container of yogurt has 150 calories. The recipe makes 4 servings. Which set of calculations would give the correct number of calories per serving?(1 point)
Responses

1/3×150÷1/4
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction

1/3×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4

1/3×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4

1/3÷150÷4
Answered by GPT 3.5
To simplify the given expression, we can first cancel out any common factors in the numerator and denominator.

Starting with the numerator, we have:

(-3/5) * (5/16) * (7/12) = (-3 * 5 * 7) / (5 * 16 * 12) = (-105) / 960

Next, let's simplify the denominator:

(-3/16) * (-5/7) = (3 * -5) / (16 * 7) = (-15) / 112

Now, we can divide the simplified numerator by the simplified denominator:

(-105) / 960 ÷ (-15) / 112

When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:

(-105/960) * (112/-15)

Multiplying the numerators and denominators, we get:

(-105 * 112) / (960 * -15) = (-11760) / (-14400)

Finally, we can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:

(-11760 / 240) / (-14400 / 240)

Simplifying further, we have:

-49/60 * -60/60 = 49/60

Therefore, the simplified expression is 49/60.
Answered by GPT 3.5
To find out how many ounces are in 12 of 15 of a 10-ounce block of cheese, we can set up a proportion.

Let x be the number of ounces we want to find.

(12/15) = x/10

To solve this proportion, we can cross multiply:

15x = 120

Divide both sides by 15:

x = 8

Therefore, there are 8 ounces in 12 of 15 of a 10-ounce block of cheese.
Answered by GPT 3.5
To find out how many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese, we can proceed as follows:

First, we multiply the fractions: (1/2) * (1/5) = 1/10.

Next, we find 1/10 of a 10-ounce block of cheese:

(1/10) * 10 = 1 ounce.

Therefore, there are 1 ounce in 1/2 of 1/5 of a 10-ounce block of cheese.
Answered by GPT 3.5
To find out how much money each person in the group won, we need to divide the total prize (1/5 of $4,500) by the number of people in the group (9).

First, we calculate 1/5 of $4,500:

(1/5) * $4,500 = $900.

Next, we divide $900 by the number of people in the group:

$900 / 9 = $100.

Therefore, each person in the group won $100.
Answered by GPT 3.5
To solve the expression (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4), we can simplify it step by step:

1. Multiply −2 by 1/5:
(-2) × (1/5) = -2/5

2. Divide -2/5 by 2/3:
(-2/5) ÷ (2/3) = (-2/5) * (3/2) = -6/10 = -3/5

3. Multiply -3/5 by -5/6:
(-3/5) * (-5/6) = (3/5) * (5/6) = 15/30 = 1/2

4. Divide 1/2 by 3/4:
(1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3

Therefore, the simplified expression is 2/3.
Answered by GPT 3.5
To solve the expression (9)÷(5/4)×(7/9)×(−5)÷(7/2), we can simplify it step by step:

1. Divide 9 by 5/4:
9 ÷ (5/4) = 9 * (4/5) = 36/5

2. Multiply 36/5 by 7/9:
(36/5) * (7/9) = (36 * 7) / (5 * 9) = 252/45

3. Multiply 252/45 by -5:
(252/45) * (-5) = -1260/45 = -28/1

4. Divide -28/1 by 7/2:
(-28/1) ÷ (7/2) = (-28/1) * (2/7) = -56/7 = -8

Therefore, the simplified expression is -8.
Answered by GPT 3.5
To solve this multi-step problem, we can determine the runner's pace by finding out how far they can go in 1 minute and then scaling it up to find the distance covered in 16 minutes.

Given that the runner completes 1/4 of a 5-mile race every 8 minutes, we can find out how far the runner can go in 1 minute by dividing 1/4 of 5 miles by 8:

(1/4) * 5 miles = 5/4 miles
(5/4) miles ÷ 8 minutes = 5/32 miles per minute

Therefore, the runner can cover 5/32 miles in 1 minute.

To find out how far the runner can go in 16 minutes, we multiply the distance per minute by the number of minutes:

(5/32) miles/minute * 16 minutes = 5/2 miles = 2 and 1/2 miles

Therefore, the runner can go 2 and 1/2 miles in 16 minutes.
Answered by GPT 3.5
To calculate the total change in the amount of water in the tank after 6 days, we need to determine the change in water every day and then multiply it by the number of days.

Given that the water tank decreases by 10 gallons every 3 hours, we can calculate the change per day by dividing 24 hours (a day) by 3 hours and then multiplying by 10 gallons:

24 hours ÷ 3 hours = 8 portions
10 gallons x 8 portions = 80 gallons

Therefore, the water tank decreases by 80 gallons every day.

To find the total change in the amount of water after 6 days, we multiply the daily change by the number of days:

80 gallons/day x 6 days = 480 gallons

Therefore, the total change in the amount of water in the tank after 6 days is 480 gallons.
Answered by GPT 3.5
To calculate the correct number of calories per serving in the given scenario, we need to multiply the amount of yogurt per serving by the number of calories per container and then divide by the number of servings.

The given recipe calls for 1/3 of a container of yogurt, which has 150 calories per container. The recipe makes 4 servings.

Therefore, the correct calculation would be:

(1/3) * 150 ÷ 4

First, we multiply 1/3 by 150:

(1/3) * 150 = 50

Then, we divide 50 by 4 to get the number of calories per serving:

50 ÷ 4 = 12.5 calories/serving

Therefore, the correct number of calories per serving is 12.5 calories, and the set of calculations that gives this result is 1/3 * 150 ÷ 4.