A recipe calls for 6 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

A. 34.33 mL

B. 29.58 mL

C. 25.59 mL

D. 12.32 mL

Answer Explanation:

To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 6 teaspoons equals 29.58 mL.

Therefore, the Correct Answer is B.

Q #1: Soft Drinks Orange Two 24-packs for $15; one 24-pack for $9 Root Beer One 24-pack for $14 Cream Soda One 12-pack for $3 A consumer needs to purchase at least 50 soft drinks for a picnic. Which of the following combinations is the most cost-effective?

A. 2 two-24 packs of Orange and 1 pack of Cream Soda

B. 3 one 24-pack of Orange

C. 2 packs of Root Beer and 1 pack of Cream Soda

D. 5 packs of cream Soda

Answer Explanation

To find the cheapest option, we find the expenditure on each given option.:

2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33

3 one 24-pack of Orange=3($9)=$27

2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31

5 packs of cream Soda=5($3)=$15

Spending 5 packs of cream soda is the cost-effective option.
Q #2: Which of the following is the value of x in the equation below

A. x= -4/3 or x=2

B. x= -1 or x=2

C. x =-2 or x= 1

D. x= -3/2 or x= 1/2

Answer Explanation

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

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If u=a, a>0, then u=a or u=-a

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.
Q #3: Solve for w in the equation below.

A. w=rxy+z

B. w=(x/ry)+(z/r)

C. w=y(z+rx)

D. w=(x/ry)-(z/r)

Answer Explanation

We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).