Solve for z in the equation above.

A. z=rwy+x

B. z=rw+(y/x)

C. z=y(x+rw)

D. z=rw-(y/x)

Answer Explanation:

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

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z is .

Therefore, the Correct Answer is D.

Q #1: -3/5, -0.9, -1.9, -8/3 Of the number listed above, which number is the greatest?

A. -3/5

B. -0.9

C. -1.9

D. -8/3

Answer Explanation

To answer this question, we need to convert the numbers into a similar form. Converting decimal numbers into fraction is appropriate to finding the greatest number.

-0.9 becomes 9/10

-1.9 becomes 19/10

Now we find the LCM of the denominators of the four fractions. The LCM of 5, 10 and 3 is 30. Multiply each fraction with the LCM to compare the fractions.

-3/5*30=-18

-9/10*30=-27

-19/10*30=-57

-8/3*30=-24

The greatest number is -18, meaning -3/5 is the greatest number.
Q #2: A macaroni and cheese recipe calls for 1/4 cup of flour for every 1 1/6 cup of milk. To make a bigger batch, the chef uses 5 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

A. 21 3/5 cups

B. 20 1/3cups

C. 23 4/9 cups

D. 23 1/3 cups

Answer Explanation

notice that the question compares the cup of flour and the cup of milk. We can therefore set up our ratios as cup of floorcup of milk. If we let the x be the number of cups of milk needed, then

As a mixed fraction, 70/3 becomes 23 1/3, which represents the number of cups of milk needed to make a big batch of 5 cups.
Q #3: Which of the following is the value of x in the equation below

A. x= -3 or x=4

B. x= -1 or x=2

C. x =-2 or x= 4

D. x= -3 or x= 5

Answer Explanation

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

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

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3