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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Related Questions
Correct Answer is D
Explanation
: we are to find the selling price of the sweater after subtracting the mark off price.
Mark off value=mark off rate*original price
Mark of value=25%*$87
We convert 25% into a fraction, which become 25/100=0.25. Then
Mark of value=0.25*$87=$21.75
The selling price of the sweater will be the original price less the mark off value. Then,

Thus, the approximate selling price of the sweater is $65.
Correct Answer is C
Explanation
scatter plots can of three types: positive, negative and no correlation. A positive correlation scatter plot shows that as one variable increase, the other variable increases. A positive correlation can be visually depicted below.

In a negative correlation, the change in one variable is inversely proportional to another variable. That is, as one variable increases, the other variable decreases as shown below.

The third type of scatter plot is a no-correlation scatter plot. In this type of plot, there is no defined relationship between one variable and another one as in the curve below.

If we look at the relationship between the time the student listens to music and his test score, it is evident that no relationship exists between the two variables. Thus, this is a type of no correlation scatter plot.
Correct Answer is D
Explanation
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.
From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:

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 B
Explanation
in the given problem, we use the calculator to find 1.3*0.47=0.611
Correct Answer is B
Explanation
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
Explanation
In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 4


Since 5 is subtracted, we add 5 to both sides to eliminate it from the left-hand side of the equation


Thus, the value of x is 7.
Correct Answer is A
Explanation
to change L to mL we use the following options of interconversions:

Or

Since we are needed to change L to mL, use the second option.

Thus, a bucket can hold 3000 mL which is equal to 3 L.
Correct Answer is B
Explanation
When dealing with percent problems, the following is utilized to find the unknown variable.
- Is means equals
- Of means multiply
- What means unknown (variable)
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
The gratuity is 15% of the total bill, which becomes

Here, of means multiply and we also convert percent into decimal before multiplying.

So, the value of t=5.76
Thus, a couple will leave a gratuity of $5.76, which is about $6.00.
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
Explanation
we are needed to find the portion of pizza shared by 3 three friends. We treat the whole pizza as 1. Now, 1 friend eats half of the whole pizza. Thus,
One friend=1/2 of 1=1/2*1=1/2
Remaining amount=1-1/2=2/2-1/2=1/2
Thus, ½ of pizza is left for three friends to share among themselves. Then, each friend will get

So, the other three friends will each get 1/6 of the pizza.
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