**An athlete runs 4 miles in 28 minutes and then changes their pace to run the next 4 miles in 32 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?**

7 minutes

8 minutes

7.5 minutes

8.5 minutes

*Correct Answer : C*

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered.

Total distance=4+4=8 miles

Total time=28+32 =60 minutes

From the above, the athlete runs 8 miles in 60 minutes, so the athlete will take how minutes to cover 1 mile.

So, the athlete covers 1 mile in 7.5 minutes.

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### Correct Answer is D

#### Explanation

The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. We label the triangle from the given data as shown below

Â Let the unknown length be x.

Applying the Pythagoras theorem, the value of x is found as:

The unknown length of the triangle is approximately 8.9 feet.

### Correct Answer is D

#### Explanation

To form an equation from the word problem, first break the given statement into smaller statements.

First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means

Length=3*width=3*x=3x

Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:

Length =3x-4

This is the required equation.

### Correct Answer is C

#### Explanation

In this problem, we assume the truck carries a whole cargo. Thus, total weight is 516 lb divided by 1/3. Thus,

We change the division sign to product and multiply 516 by reciprocal of 1/3. Then,

The weight of the cargo will be 1548 lbs.

### Correct Answer is B

#### Explanation

When dealing with percent problems, the following is utilized to find the unknown variable.

- Is means equals
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From the problem above, we are looking for the amount of gratuity the couple can leave.

Let t be the amount of gratuity. Translating into an equation, we have

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So, the value of t=5.76

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### Correct Answer is D

#### Explanation

Correlation of two variables falls into:

Positive correlation: an increase in one variable causes another variable to increase

Negative correlation: an increase in one variable causes another one to decrease

No correlation: a change in one variable does not cause any response in another variable.

From the given choices

Option a is no correlation

Option b is a negative correlation

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### Correct Answer is D

#### Explanation

: we are to find the selling price of the sweater after subtracting the mark off price.

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Mark of value=25%*$87

We convert 25% into a fraction, which become 25/100=0.25. Then

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### Correct Answer is D

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### Correct Answer is B

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Converting between teaspoon and mL uses the following conversions:

Or

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