**An athlete runs 7 miles in 45 minutes and then changes their pace to run the next 3 miles in 15 minutes. Overall, what is the average time in minutes it takes the athlete to run 1 mile?**

9.5 minutes

9 minutes

6 minutes

10minutes

*Correct Answer : C*

to find the average time the athlete runs in 1 mile; we find total distance and total time the athlete takes in running.

Total distance run by athlete=7+3=10 miles

Total time=45+15 =60 minutes

The athlete runs 10 miles in 60 minutes. For the athlete to cover 1 mile, he will run for a time less than 60 minutes. Thus, in 1 mile, the athlete takes:

So, in 6 minutes, the athlete covers 1 mile.

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### Correct Answer is D

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In order for the teacher to better visualize the test performance for his class, he needs to present the mark distribution in chart form. A better chart visualizer is the *histogram*, which will show the frequency of marks against range of test scores. A bar graph will not be used because the rectangles need to touch one another.

In a bar graph, the rectangles do not touch each other. Therefore, it will not be a good chart visualizer.

### Correct Answer is A

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A ratio is of the form a : b but can also be converted to a fraction of the form a/b, where b is not equal to zero. Besides, to in ration means per in fraction form.

In the class of 40 students, 22 are girls and 18 are boys. Thus, the ratio of girls to boys becomes:

*Â *

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In ratio form, girls: boys=11:9

Thus, the ratio of girls to boys in a class of 40 students is 11 to 9.

### Correct Answer is C

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In a *bell-shaped curve*, the data distribution is symmetric around a single peak. The centering of data around a single peak means the mean, mode and median of the test are all equal to each other.

### Correct Answer is C

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In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:

- Is means equals
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There, a couple will leave a gratuity of $9.38.

### Correct Answer is A

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The truck carries a whole cargo which equals 1. If we let the weight of the cargo to be p, then we set up a proportion equation with weight as numerator and fraction of cargo as denominator.

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Multiply both sides by 3/2 a reciprocal of 2/3

The truck carries a cargo weighing 795 lb.

### Correct Answer is B

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To solve this problem, we need to have all options in fraction form.

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7/8 = 3/8

0.72 = 72/100

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74/95*3800=2960

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72/100*3800=2736

74/100*3800=2812

We can see that the fraction 7/8 is the greatest among the given options.

### Correct Answer is A

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We solve for the value of x by following the order of operations

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Thus, the value of x is 8.

### Correct Answer is A

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We analyze the given statement with the graph given as follows:

For option a: the points per game decreased five times between 1996 and 2015. So, the statement is true.

For option b: the lowest points scored per game was in 1998-99 season. So, the statement is false.

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Amount left after spending=$(90-63) = $27

Lana is left with $27, which she will invest and earns a profit of 60%.

Profit earned=60% of $27 = 60/100 * 27 = $16.20

Therefore, Lana will have $27 + $16.20 = $43.20

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