Ms. Burger has graded 45 tests. This represents 60% of her 3 math classes. How many math students does Ms. Burger teach?

Answer:

length = 10

width = 5

Step-by-step explanation:

So first you divide 8 from 400 which equals 50.

Then so the length and the width has to equal 50 when they are times-ed, and the length is double the width.

So the length is 10

and the width is 5

Final answer:

Given that the volume of a rectangular prism is length x width x height, this problem can be solved by setting up the equation 2w * w * 8 = 400, where w is the width and 2w is the length. Solving this equation, we find that the width is 5 feet and the length is 10 feet.

Explanation:

In mathematics, the volume of a rectangular prism is given by the formula length x width x height. We are given that the volume of the storage container is 400 cubic feet, its height is 8 feet, and the length is twice the width. Let us denote the width as w, then the length is 2w.

From the given volume formula, we have:

Length x Width x Height = Volume

Substituting the values, we get:

2w * w * 8 = 400

Solving this equation, we find:

w^2 = 25

Taking the square root of both sides, we get:

w = 5

Substituting w=5 into 2w, we find the length:

Length = 2*5 = 10

So the width of the container is 5 feet and the length is 10 feet.

Learn more about Volume of a Rectangular Prism here:

brainly.com/question/31393965

Final answer:

To calculate 67% of 8.7, we convert 67% to its decimal form, 0.67, and multiply it by 8.7, getting an estimated value of 5.83.

Explanation:

To calculate 67% of 8.7, we should multiply 8.7 by 0.67 (which is the decimal equivalent of 67%).

Let's do the calculation:

1. Convert 67% to decimal form: 67 / 100 = 0.67
2. Multiply 8.7 by 0.67: 8.7 × 0.67 = 5.829.

So, 67% of 8.7 is approximately 5.83. This is an estimate, since we rounded the final answer to the nearest hundredths place for simplicity. As always, check with your teacher or test instructions for how many decimal places they want you to round to.

Learn more about Percentage Calculation here:

brainly.com/question/32197511

#SPJ3

To simplify this expression, we must combine like terms. This means that we have to add or subtract the coefficients of the same variables, meaning we can only add variable a's together and variable b's together, they must stay separate.

3a + 2b - 8a + b

The first thing that we should do is to rearrange this expression so that the terms with the same variables are next to one another.

3a - 8a + 2b + b

Next, we can combine these terms by adding/subtracting their coefficients.

-5a + 3b

We can also write this as:

3b - 5a

Therefore, your answer is 3b - 5a.

Hope this helps!

To simplify 3a + 2b - 8a + b, we need to combine like terms. Like terms are terms that share common variables. In this expression, the two variables are terms with a and terms with b. The terms that have a are 3a and -8a. The terms that have b are 2b and b. Now we can separate them and simplify.

(3a - 8a) + (2b + b)

-5a + 3b