Question

(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4) = ?

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

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

1/6
Start Fraction 1 over 6 End Fraction

2/3

Choose A B C or D.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The answer is A) -2/3.

Answer 2

(9)÷(54)×(79)×(−5)÷(72) = ?

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

8

−8
negative 8

−1,225/8
Choose A B C Or D

Answer 3

[AI-generated answer — Bot GPT 3.5]

The answer is C) -1,225/8.

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?(1 point)

Responses

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

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

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

160 miles
Choose A B C Or D

Answer 5

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we can use a proportion to find the distance the runner can go in 16 minutes.

We know that the runner completes 14 of a 5-mile race every 8 minutes. So, the ratio of the distance covered to the time taken is 14/8.

We can set up the proportion:
(14/8) = (x/16)

To find x, we can cross multiply and solve for x:
8x = 14 * 16
8x = 224
x = 224/8
x = 28

Therefore, the runner can go 28 miles in 16 minutes.

The correct answer is not provided in the options.

Answer 6

A runner completes 1/4 of a 5-mile race every 8 minutes. how far can the runner go in 16 minutes

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

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

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

160 miles
A B C Or D

Answer 7

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we can set up a proportion to find the distance the runner can go in 16 minutes.

We know that the runner completes 1/4 of a 5-mile race every 8 minutes. So, the ratio of the distance covered to the time taken is (1/4)/8.

We can set up the proportion:
(1/4)/8 = x/16

To find x, we can cross multiply and solve for x:
(1/4)*16 = 8*x
4 = 8*x
x = 4/8
x = 1/2

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

The correct answer is not provided in the options.

Answer 8

1/10 1/8 2 1/2 or 160

Answer 9

[AI-generated answer — Bot GPT 3.5]

My apologies for the confusion. Given that the original response options are 1/10 mile, 1/8 mile, 2 1/2 miles, and 160 miles, we can use the given information to determine the distance the runner can go in 16 minutes.

The runner completes 1/4 of a 5-mile race every 8 minutes. So, in 16 minutes, the runner would complete 2/4 (or 1/2) of the 5-mile race.

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

The answer that matches 1/2 mile is not provided in the options given.

Answer 10

[AI-generated answer — Explain Bot]

To solve the expression (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4), we need to follow the order of operations, which is known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Step 1: Simplify any multiplication or division within parentheses or brackets.
There are no parentheses or brackets in this expression, so we can skip this step.

Step 2: Simplify any exponents.
Again, there are no exponents in this expression.

Step 3: Simplify any multiplication or division from left to right.
Starting from left to right, we have:

First, multiply (−2) and (1/5) to get: −2 * 1/5 = −2/5.

Next, divide the result by (2/3) to get: −2/5 ÷ 2/3.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we invert (2/3) to get (3/2), then multiply:

−2/5 * (3/2) = −2 * 3 / (5 * 2) = −6/10 = −3/5.

Next, we have to multiply the result by (−5/6):

−3/5 * (−5/6) = 3 * 5 / (5 * 6) = 15/30 = 1/2.

Finally, divide by (3/4):

1/2 ÷ (3/4).

Again, to divide fractions, we multiply by the reciprocal:

1/2 * (4/3) = 1 * 4 / (2 * 3) = 4/6 = 2/3.

Therefore, the answer is 2/3.

So, the correct answer is D.