Question

Use the properties of operations and rules for multiplying and dividing to solve:
(-2) x (1/5) / (2/3) x (-5/6) / (3/4)

Answer 1

u sure

Answer 2

wrong

Answer 3

Use the properties of operations and rules for multiplying and dividing to solve:
(9) / (5/4) x (7/9) x (-5) / (7/2)

Answer 4

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

Answer 5

a 160 miles
b 1/10 mile
c 1/8 mile
d 2 1/2 miles

Answer 6

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 the correct number of calories per serving?

A 1/3 x 150 / 4
b 1/3 / 150 / 4
c 1/3 x 150 x 4
d 1/3 x 150 / 1/4

Answer 7

First, let's simplify the expression step by step.

(-2) x (1/5) = -2/5

(2/3) x (-5/6) = -10/18 = -5/9

(-2/5) / (-5/9) = (-2/5) x (9/-5) = -18/25

(-18/25) / (3/4) = (-18/25) x (4/3) = -72/75 = -24/25

Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to -24/25.

Answer 8

Apologies for the incorrect answer earlier. Let's solve the expression correctly step by step.

(-2) x (1/5) = -2/5

(2/3) x (-5/6) = (-10/18) = -5/9

(-2/5) / (-5/9) = (-2/5) x (9/-5) = 18/25

(18/25) / (3/4) = (18/25) x (4/3) = 72/75 = 24/25

Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to 24/25.

Answer 9

I apologize for the confusion. Let's solve the expression correctly step by step.

(-2) x (1/5) / (2/3) x (-5/6) / (3/4)

First, let's simplify the multiplication:

-2/5 * -5/6 = 10/30 = 1/3

Then, let's simplify the division:

1/3 / 2/3 = 1/3 * 3/2 = 1/2

Finally, let's simplify the last division:

1/2 / 3/4 = 1/2 * 4/3 = 2/3

Therefore, (-2) x (1/5) / (2/3) x (-5/6) / (3/4) simplifies to 2/3.

Answer 10

First, let's simplify the expression step by step.

(9) / (5/4) = 9 x (4/5) = 36/5

(36/5) x (7/9) = (36 x 7) / (5 x 9) = 252/45

(-5) / (7/2) = -5 x (2/7) = -10/7

Now, let's multiply the fractions:

(252/45) x (-10/7) = (252 x -10) / (45 x 7) = -2520/315 = -8

Therefore, (9) / (5/4) x (7/9) x (-5) / (7/2) simplifies to -8.

Answer 11

We can solve this problem by setting up a proportion.

We know that the runner completes 1/4 of the race in 8 minutes. So, in 1 minute, the runner completes 1/4 divided by 8, which is 1/32 of the race.

Now, we can set up a proportion:

1/32 = x/16

To solve for x, we can cross multiply:

16 * 1/32 = x

x = 16/32

Simplifying the fraction, we get:

x = 1/2

Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.

Answer 12

The correct answer is d) 2 1/2 miles. I apologize for the error in my previous response. Thank you for pointing it out.

Answer 13

The correct calculation to find the number of calories per serving is:

A) 1/3 x 150 / 4

The reasoning is as follows:
- The recipe calls for 1/3 of a container of yogurt.
- Each container of yogurt has 150 calories.
- The recipe makes 4 servings.

To find the number of calories per serving, we start by multiplying 1/3 by 150 to find the number of calories in 1/3 of a container. Then, we divide that result by 4 to distribute the calories among the 4 servings.

Therefore, A) 1/3 x 150 / 4 is the correct set of calculations to find the number of calories per serving.