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A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

A. 5.33 mL

B. 7.43 mL

C. 12.325 mL

D. 0.507 mL

Answer Explanation:

Use the relation 1 teaspoon=4.93 mL to change 2.5 teaspoons to mL. Using the dimension analysis, the amount in mL is found as:

Therefore, the Correct Answer is C.

Q #1: If (D) is the distance traveled and (R) is the rate of travel, which of the following represents the relationship between D and R for the equation D=2R?

A. D is twice as much as R

B. R is twice as much as D

C. R is two than D

D. D is town more than R

Answer Explanation

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.
Q #2: Which of the following is the correct simplification of the expression below? 12 ÷ 3 * 4 - 1 + 23

A. 6

B. 21

C. 38

D. 23

Answer Explanation

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.

P- Parenthesis

E-Exponents

D-Divide

M-Multiply

A-Add

S-Subtract

From the given equation start with solving :-

12 ÷3 * 4 - 1 + 23

Next, carry out division 12÷3=4

4*4-1+23

Multiply is 4*4=16

16-1+23

Add or subtract can be conducted in any order. From left to right, we subtract followed by addition

Subtract 16-1=15

15+23

The last step is to add 15+23

15+23=38

Thus, the answer to the given equation is 38.
Q #3: (x/y)-z=rw Solve for x in the equation above.

A. X=y(z+rw)

B. X=rw(y-z)

C. X=rwy+z

D. X=rwy-z

Answer Explanation

Given the equation (x/y)-z=rw, we make x the subject of the formula as follows:

(x/y)-z=rw

Add z to both sides of the equation

(x/y)-z+z=rw+z

(x/y)=rw+z

Multiply both sides by y

(x/y)*y=y(rw+z)

X=y(rw+z)

Rearranging the equation results in:

X = y(z+rw)

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