Use the properties of operations and rules for multiplying and dividing to solve: (-3) ÷(3/4) ×(2/7)×(-5/16)÷(5/7)
To solve the expression (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7), we can follow the order of operations:
1. Start with the division.
(-3) ÷ (3/4) = -3 × (4/3) = -12/3 = -4
2. Next, multiply all the fractions together.
-4 × (2/7) × (-5/16) × (5/7) = (-4 × 2 × -5 × 5) ÷ (7 × 16 × 7)
= 200 ÷ 784
= 25/98.
Thus, (-3) ÷ (3/4) × (2/7) × (-5/16) ÷ (5/7) equals 25/98.
How many ounces are in 1/2 of 1/5 of a 10 oz block of cheese?
Ounce(s)
To find how many ounces are in 1/2 of 1/5 of a 10 oz block of cheese, we need to multiply the fractions together and then multiply the result by 10 oz.
First, multiply 1/2 by 1/5:
1/2 * 1/5 = 1/10.
Then, multiply 1/10 by 10 oz:
1/10 * 10 oz = 1 oz.
Therefore, 1/2 of 1/5 of a 10 oz block of cheese is equal to 1 ounce.
A group of nine people won 1/5 of a 4,500 prize. How much money did each person in the group win?
To find out how much money each person in the group won, we need to divide the total prize won by the number of people in the group.
The group of nine people won 1/5 of a $4,500 prize.
To find the amount each person won, we can divide the total prize by the number of people in the group:
(1/5) * 4,500 = 4,500/5 = $900.
So, each person in the group won $900.
Wrong
Apologies for the previous incorrect response.
To find out how much money each person in the group won, we need to divide the total prize won by the number of people in the group.
The group of nine people won 1/5 of a $4,500 prize.
To find the amount each person won, we need to multiply the total prize by the fraction that represents 1/5:
(1/5) * $4,500 = $4,500/5 = $900.
Now, to find out how much each person in the group won, we divide this amount by the number of people in the group:
$900 / 9 = $100.
Therefore, each person in the group won $100.
Ty
You're welcome! If you have any more questions, feel free to ask.
Solve this multi-step problem. A runner complaints 1/4 of a 5 mi race every 8 minutes. At the same pace, how far can the runner go in 16 minutes
To find out how far the runner can go in 16 minutes, we can set up a proportion using the given information.
We know that the runner completes 1/4 of a 5-mile race every 8 minutes.
So, in 8 minutes, the runner runs 1/4 of 5 miles, which is equal to 5/4 miles.
Now, we can set up the proportion:
8 minutes is to 5/4 miles as 16 minutes is to x miles.
This can be written as:
8/5/4 = 16/x.
To solve for x, we can cross-multiply:
8x = 5/4 * 16.
Multiplying both sides:
8x = 5 * 4.
8x = 20.
Dividing both sides by 8:
x = 20/8.
x = 2.5.
Therefore, at the same pace, the runner can go 2.5 miles in 16 minutes.
Solve this multi-step problem. A runner complaints 1/4 of a 5 mi race every 8 minutes. At the same pace, how far can the runner go in 16 minutes
A. 160 miles
B. 1/10 miles
C. 2 1/2 miles
D. 1/8 miles
To find out how far the runner can go in 16 minutes, we can set up a proportion using the given information.
We know that the runner completes 1/4 of a 5-mile race every 8 minutes.
So, in 8 minutes, the runner runs 1/4 of 5 miles, which is equal to 5/4 miles.
Now, we can set up the proportion:
8 minutes is to 5/4 miles as 16 minutes is to x miles.
This can be written as:
8/(5/4) = 16/x.
To solve for x, we can invert and multiply:
8 * (4/5) = 16 * x.
Simplifying:
32/5 = 16x.
Dividing both sides by 16:
32/5 / 16 = x.
Simplifying:
2/5 = x.
Therefore, the runner can go 2/5 of a mile in 16 minutes.
In mixed number form, 2/5 can be expressed as 2 1/2.
Therefore, the runner can go 2 1/2 miles in 16 minutes.
The answer is C. 2 1/2 miles.
A water tank decreases by 10 gallons every 3 hours everyday. What is a total change in the amount of water in the tank after 6 days
A. 80 gallons
B. 480 gallons
C.- 80 gallons
D. -480 gallons
To find the total change in the amount of water in the tank after 6 days, we need to calculate the change in water every day and then multiply it by the number of days.
We know that the water tank decreases by 10 gallons every 3 hours every day.
There are 24 hours in a day, so in one day (24 hours), the water tank will decrease by 10 gallons × (24 hours / 3 hours) = 10 gallons × 8 = 80 gallons.
Therefore, the water tank decreases by 80 gallons every day.
To find the total change in water after 6 days, we multiply the change per day by the number of days:
80 gallons/day × 6 days = 480 gallons.
So, the total change in the amount of water in the tank after 6 days is 480 gallons.
The answer is B. 480 gallons.
A recipe calls for 1/3 of a container of yogurt. Each container of yogurt has 150 calories. The recipe makes for servings. Which set of calculations would you give the correct number of calories per serving
A. 1/3 * 150 / 4
B.1/3 * 150 / 1/4
C. 1/3 / 150 / 4
D. 1/3 * 150 * 4
To find the number of calories per serving in the recipe, we need to multiply the fraction of a container used by the number of calories in one container and divide by the number of servings.
The fraction of a container used is 1/3, and each container has 150 calories. Let's assume the recipe makes 4 servings.
So, the correct set of calculations would be:
A. 1/3 * 150 / 4
This calculation first multiplies 1/3 by 150 and then divides the result by 4. This will give us the correct number of calories per serving.
Therefore, the answer is A. 1/3 * 150 / 4.