**How many feet are in 9 yards?**

45 ft

18 ft

36 ft

27 ft

*Correct Answer : D*

The interconversion of yards to feet utilizes the relationship 1 yard =3 feet. Then, 9 yards to ft becomes

* **t*

There, 9 yards is equal to 27 ft.

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Related Questions

### 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 question requires we find the cost of four syringes.

If we let x be the cost of four 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 of the equation by 55

Thus, the cost of 4 syringes is $48.

### Correct Answer is A

#### Explanation

To solve the equation this equation, we use a calculator and find the product as:

3.45 * 0.53= 1.8285

### Correct Answer is B

#### Explanation

An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.

### 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 A

#### Explanation

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.

### Correct Answer is D

#### Explanation

We need to find the radius in order to find the area of the pizza.

Radius of pizza

The area of the pizza

* *

But r=4.5

* *

Thus, the area of the pizza is 20.25* * in2.

NOTE: is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize.

### 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

from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:

* *

Or

The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:

* *

From the above equation, gallon of solution will cancel, and oz of ammonia is left.

Therefore, the solution will require 1380 oz of ammonia.

### Correct Answer is B

#### Explanation

to find the average time the athlete runs in 1 mile, find total time divided by total distance covered in the two runs.

Total distance=5+3=8 miles

Total time=25+15=40 minutes

We now know that the athlete runs 8 miles in 40 minutes, so the time the athlete will run in 1 mile will be:

* *

In 5 minutes, the athlete runs 1 mile.

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