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

2x-6

6-2x

6x-2

3x-4

*Correct Answer : A*

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 two times width. Mathematically, this means

Length=2*width=2*x=2x

Now, the length is 6 less than 2 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:

Length =2x-6

Thus, the length of the rectangle is 2x-6.

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Related Questions

### Correct Answer is C

#### Explanation

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
- Of means multiply
- What means unknown (variable)

If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:

So, the value of x=9.376 and to the nearest cent, x=9.38

There, a couple will leave a gratuity of $9.38.

### Correct Answer is C

#### Explanation

We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.

Amount Jacob spends=87% of $100=87/100*100=$87

Amount left to invest=$(100-87)=$13

Jacob is left with $13, which she invests and earns a profit of 75%.

Profit earned on invested amount=75% of $13=75/100*13=$9.75

So, Jacob will have $13+$9.75=$22.75

### Correct Answer is B

#### Explanation

We follow the order operations to solve for the unknown value of x.

3(2x+5)=11x+5

Open the bracket on the LHS by multiplying each term by 3

(3*2x)+(3*5)=11x+5

6x+15=11x+5

Subtract 15 from both sides

6x+15-15=11x+5-15

6x=11x-10

Subtract 11x on both sides

6x-11x=11x-11x-10

-5x=-10

Divide both sides by -5

-5x/-5=-10/-5

x= 2

Thus, the value of unknown value of x is 2.

### Correct Answer is D

#### Explanation

The net income is the salary of the teacher gets after deducting total taxes.

Weekly net income=weekly gross income-total tax

Total tax=federal income tax+state income tax+Social Security tax

Total tax=$(72.00+35.00+65.00)

Total tax=$172.00

Weekly net income=$(730.00-172.00)=$558.00

The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4

* *

The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.

### Correct Answer is D

#### Explanation

We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:

*Â Â Â Â Â Â *

Or

Â Â Â Â Â

Since we are looking for mL, we use the second option.

Â Â Â Â Â

Thus, 5.5 teaspoons can hold approximately 27 mL.

### Correct Answer is D

#### Explanation

: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,

One friend=1/4 of 1=1/4*1=1/4

Remaining amount=1-1/4=4/4-1/4=3/4

Thus, Â¾ of burger is left for two friends to share among themselves. Then, each friend will get

So, the other two friends will each get 3/8 of the burger.

### Correct Answer is B

#### Explanation

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

Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

The fraction above reduces into

*Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â *

Â

In ratio form, girls: boys=13:11

Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.

### Correct Answer is D

#### Explanation

Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows

35+192*=*227

258+350*=*608

947+1032*=*1979

From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.

694+7618=8312

We can approximate 8312 based on the provided choices is 8310.

### Correct Answer is C

#### Explanation

**Explanation**: We know that 1 L=1000 mL and to change between L and mL we use the following two options

### Correct Answer is C

#### Explanation

We usea calculator to find the product of

1.6*0.93=1.488

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