**If x represents the width of a rectangle and length is four less than three times the width, which of the following expressions represents the length of the rectangle in terms of x?**

4-3x

3-4x

4x-3

3x-4

*Correct Answer : D*

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.

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a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.

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In ratio form, girls: boys=15:13

Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.

### Correct Answer is A

#### Explanation

We asked to convert kg to pounds. There are two ways of converting between kg and pounds

And

Since we are asked to find pounds, we use the second option for kg to cancel during conversion as follows:

Thus, 50 kg is equal to 110 lb.

### Correct Answer is A

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The initial step is to convert the decimal numbers into fractions.

4.4 becomes 44/10

4.25 becomes 425/100

Thus, the set of fractions is 9/2, 44/10, 10/3, 425/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.

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### Correct Answer is D

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

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### Correct Answer is C

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

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### Correct Answer is B

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Since the distribution is symmetric, the mean, mode, and median will all be equal. The shape of the distribution will be **bell-shaped.**

### Correct Answer is D

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Correlation of two variables falls into:

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

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Thus, a couple will leave a gratuity of $5.76, which is about $6.00.

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