**The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?**

A=w+(w+5)

A=2w+2(w+5)

A=5(w+8)

A=w(w+5)

*Correct Answer : D*

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then** **

Width of the rectangle= w

Length of rectangle=(w+5)

Area of the rectangle, A= Length*width=(w+5)*w

A=w(w+5)

Thus, the area of the rectangular room is w(w+5).

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#### Explanation

To find the pounds equivalent of the kg given, we use the two options as given below.

OR

Since we want to remain with pounds, we use the second option and set up the equation below.

Thus, 65 kg is equal to 143 lb.

### Correct Answer is A

#### Explanation

To find the cheapest option, we find the amount the consume will spend for each option given.:

- 2 packs of Orange and 1 pack of Cream Soda will cost $16+$5= $21
- 3 Packs of Orange will cost $16+$12=$28
- 2 packs of Root Beer and 1 pack of Cream Soda will cost 2($15)+$7=$37
- 5 packs of cream Soda will cost 5($7)=$35

From the above evaluation, the cheapest option will cost the consumer $21. Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

### Correct Answer is A

#### Explanation

we need to find the portion of pizza shared by other three friends.

Two friends eat half of the pizza, which is Â½

And the remaining amount of pizza,Â

Now, the other three friends share Â½ amongst themselves equally. Then, each friend gets

The other three friends each gets 1/6 of the pizza.

### Correct Answer is C

#### Explanation

We follow the order of operations to solve the given expression. The order of operations is PEMDAS:

- Parentheses
- Exponents
- Multiplication and Division (in order from left to right)
- Addition and Subtraction (in order from left to right)

First, we start with the numerator and solve it as follows

[3(6+5*4)]

We start with multiplication in parenthesis, 5*4=20. The expression becomes

[3(6+20)]

Then, we conduct the addition in parenthesis 6+20=26. Then, the expression becomes

[3(26)]=3*26=78

Now, we solve for denominator, which is 26/2=13.

Thus, the expression is reduced into

The expression reduces into 6.

### Correct Answer is D

#### Explanation

To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.

Two ways to convert between teaspoon and mL are:

Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 3 teaspoons equals 14.79 mL.

### Correct Answer is D

#### Explanation

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

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*X = 18 Feet*

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5Â high is 18Â feet.

### Correct Answer is A

#### Explanation

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

(2frac{2}{5}=frac{left(2ast5 ight)+2}{5}=frac{10+2}{5}=frac{12}{5})

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

(frac{x gallons}{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})

Cross-multiply to find the value of x.

(frac{x }{1 full tank}=frac{frac{12}{5} gallons}{frac{4}{7}full tank})

(x astfrac{4}{7}full tank=frac{12}{5} gallonsast1 full tank)

(x =frac{frac{12}{5} gallonsast1 full tank}{frac{4}{7}full tank}=frac{12}{5}divfrac{4}{7} gallons=frac{12}{5}astfrac{7}{4}gallons=frac{21}{5}gallons)

Converting 21/5 to a mixed fraction is 4 1/5. Thus, when the tank is full, it holds 4 1/5 gallons of water.

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#### Explanation

The mean of a data set is the sum of all scores divided by the number of tests.

Total test scores = 83+86+76+88+97 = 430

Number of tests = 5

Mean test score = 430/5 = 86

The mean test score is 86.

### Correct Answer is C

#### Explanation

C organizes the collection correctly.

### Correct Answer is B

#### Explanation

we find the value of x by applying the absolute conditions to the given equation.

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IfÂ *Â *Â , a>0, then u=a or u=-a

In this case a=10, which is greater 0.

The first condition becomes

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Add 2 to both sides of the equation

Divide both sides by 4

Then, the value of x is 3 or -2.

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