(9)÷(5/4)×(7/9)×(−5)÷(7/2)

Answer 1

To solve this expression, we follow the order of operations (brackets, exponents, multiplication/division from left to right, and addition/subtraction from left to right).

(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)

First, divide 9 by 5/4:

(9) ÷ (5/4) = 9 * (4/5) = 36/5

Next, multiply by 7/9:

(36/5) × (7/9) = (36 * 7) / (5 * 9) = 252/45

Now, multiply by -5:

(252/45) × -5 = (252 * -5) / 45 = -1260/45

Finally, divide by 7/2:

(-1260/45) ÷ (7/2) = (-1260/45) * (2/7) = (-1260 * 2) / (45 * 7) = -2520/315

The simplified answer is -2520/315.

Answer 2

worng.

Answer 3

Apologies for the confusion. Let's solve the expression correctly:

(9) ÷ (5/4) × (7/9) × (-5) ÷ (7/2)

First, let's simplify the division:

9 ÷ (5/4) is the same as 9 × (4/5) = (9 * 4) / 5 = 36/5.

Next, let's multiply the fractions:

(36/5) × (7/9) is (36 * 7) / (5 * 9) = 252/45.

Now, let's multiply by -5:

(252/45) × (-5) = (252 * -5) / 45 = -1260/45.

Lastly, let's divide by (7/2):

(-1260/45) ÷ (7/2) is the same as (-1260/45) × (2/7).
Multiplying the fractions gives us (-1260 * 2) / (45 * 7) = -2520/315.

The simplified answer is -2520/315.

Answer 4

Solve this multi-step problem. A runner completes 14 of a 5-mile race every 8 minutes. At the same pace, how far can the runner go in 16 minutes?

Answer 5

To solve this problem, we can set up a proportion to compare the distance covered and the time taken.

The runner completes 14 miles in 8 minutes.

So, the runner's rate is 14 miles / 8 minutes = 7/4 miles per minute.

Now, we need to find out how far the runner can go in 16 minutes using the same pace.

Distance covered = rate * time

Distance covered = (7/4 miles per minute) * 16 minutes

Distance covered = 28 miles / 4

Distance covered = 7 miles

Therefore, the runner can go 7 miles in 16 minutes at the same pace.