**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 B

#### Explanation

in the given problem, we use the calculator to find 1.3*0.47=0.611

### Correct Answer is C

#### Explanation

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

2(4x+3)=7x+5

Open the bracket on the LHS by multiplying each term by 2

(2*4x)+(2*3)=7x+5

8x+6=7x+5

Subtract 6 from both sides

8x+6-6=7x+5-6

8x=7x-1

Subtract 7x on both sides

8x-7x=7x-7x-1

X=-1

Thus, the value of unknown value of x is -1.

### Correct Answer is C

#### Explanation

to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is

Thus, 5/8 is equal to 62.5%.

### Correct Answer is A

#### Explanation

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.

9/2*300=1350

44/10*300=1320

10/3*300=1000

425/100*300=1275

From the above, 1350 is the greatest value which corresponds to 9/2. Thus, 9/2 is the greatest value of all the choices given.

### 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 A

#### Explanation

we are needed to find the amount Lana is left with after spending and investing the rest using the given information.

Amount Lana spends = 80% of $60= 80/100 *60 = $48

Amount left to invest = $(60-48) = $12

Lana is left with $12, which she invests and earns a profit of 80%.

Profit earned = 80% of $12 = 80/100 * 12= $9.20

So, Lana will have $12 + $9.20 = $21.60

### Correct Answer is A

#### Explanation

The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula

Now, substituting the 49* **Ï€**Â in2 *in place of A in the equation above becomes:

We want to find r, therefore, we rearrange the equation as

Divide both sides by

Take square root both sides of the equation

The radius of the circle is 7 in, and the circumference of the circle is determined as follows

Substituting the value of r=7 becomes

Thus, the circumference of a circle whose area is 49* **Â in2* is 14* **Â
*

*
*

### Correct Answer is A

#### Explanation

from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows

24+190*=*214

151+319*=*470

974+1022*=*1996

From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.

452+5017=5469

We can approximate 5469 based on the provided choices to 5470.

### 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

the question requires we find the cost of two syringes.

If we let x be the cost of two syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes

Cross-multiply to solve for x

Rearranging the above

Divide both sides by 35

The cost of 2 syringes is $32.

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