We are asked to solve the following math problems: 1. What percent does the grid show?

1. Problem Description

We are asked to solve the following math problems:

1. What percent does the grid show?

2. What is 150% of 56?

3. The 8 red markers in a box account for 4% of all markers in the box. How many markers are in the box?

4. Which number is equivalent to 6%? Select all that apply.

5. Match each fraction, decimal, or percent to an equivalent fraction, decimal, or percent.

6. A student gets 9 out of 15 problems correct on a homework assignment. What percent of the assignment did the student get incorrect?

2. Solution Steps

1. The grid has 10 rows and 10 columns, making 100 squares in total. The shaded area consists of 2 columns, so there are 10+10 = 20 shaded squares. Thus the grid shows $20/100 = 20\%$.

2. 150% of 56 is equal to $1.50 \times 56$.

$1.50 \times 56 = 1.5 \times 56 = (1 + 0.5) \times 56 = 56 + (0.5 \times 56) = 56 + 28 = 84$.

3. Let $x$ be the number of markers in the box. We are given that 4% of the markers is

8. Thus $0.04x = 8$.

To find $x$, we can divide both sides of the equation by 0.04:

$x = \frac{8}{0.04} = \frac{800}{4} = 200$.

4. We need to find the values that are equivalent to 6%.

A. 6.0 is equivalent to 600%.

B. 0.06 is equivalent to 6%.

C. $\frac{6}{100} = 0.06$ is equivalent to 6%.

D. $\frac{3}{50} = \frac{6}{100} = 0.06$ is equivalent to 6%.

So, the correct answers are B, C, and D.

5. $\frac{7}{5} = 1.40 = 140\%$ thus A corresponds to B.

$0.04 = \frac{4}{100} = \frac{1}{25}$ thus E corresponds to A.

$56\% = 0.56$ thus I corresponds to D.

$95\% = \frac{95}{100} = \frac{19}{20}$ thus M corresponds to C.

6. The student got 9 out of 15 problems correct. Thus the student got $15-9=6$ problems incorrect.

The percentage of the assignment that the student got incorrect is $\frac{6}{15} \times 100\% = \frac{2}{5} \times 100\% = 0.4 \times 100\% = 40\%$.

3. Final Answer

1. 20%

2. 84

3. 200

4. B, C, and D

5. A-B, E-A, I-D, M-C

6. 40%