A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?

A. 5/12

B. ¼

C. ½

D. 1/3

Answer Explanation:

The probability of an event is determined by the relation

Finding the probability of drawing the red ball, we need to find the total number of balls in the bag.

Total number of balls in the bag=5+4+3=12 balls

The probability of drawing a red ball from the bag is 1/3.

Therefore, the Correct Answer is D.

Q #1: 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. A = 5x

B. A = 2x+2(x+5)

C. A = x(x+5)

D. A = x+(x+5)

Answer Explanation

We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.

Length of rectangle=(x+5)

Width of the rectangle= x

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

A=x(x+5)

Thus, the area of the rectangle is x(x+5).
Q #2: Which of the following values is the greatest?

A. 9/2

B. 4.25

C. 10/3

D. 4.4

Answer Explanation

To find the greatest number from the given options, we first convert the decimal numbers into fractions.

4.25 becomes 425/100

4.4 becomes 44/10

Then, we find the LCM for the denominators of the given fractions. The LCM of 2, 100, 3 and 10 is 300. Now we can multiply each fraction with the LCM.

9/2*300=1350

425/100*300=1275

10/3*300=1000

44/10*300=1320

Comparing the obtained values from above, 1350 is the greatest followed by 1320, 12750, and 1000 in that order. The fraction 9/2 gave a value of 1350, which was the greatest value. Thus, 9/2 is the greatest value from the given option.

You can also convert to decimals and compare which would give you the same answer.
Q #3: A macaroni and cheese recipe calls for 1/3 cup of flour for every 1 1/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

A. 7 1/5 cups

B. 2 2/5 cups

C. 3 8/15 cups

D. 6 cups

Answer Explanation

We are being asked to find the amount of milk needed. This is a proportion problem, which compares the amount of flour to that of milk. Letting x represent the amount of milk required, we set up the proportion with flour on the numerator and amount of milk in denominator as follows:

Change the mixed fraction of 1 1/5 into improper fraction as follows

The proportion equation becomes

Cross-multiply to solve for x

As an mixed fraction, 36/5 becomes 7 1/5. Therefore, 7 1/5 cups of milk are needed to make a big batch of 2 cups.