10. B
11. D
12. C
13. B
14. B
15. D
Answer:
George is 12, Mary Lou is 24 and Kate is 10.
Step-by-step explanation:
To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46
x + 2x + x - 2 = 46
4x - 2 = 46
4x = 48
x = 12
This means that George is 12.
Mary Lou = 2x
Mary Lou = 2(12)
Mary Lou = 24
Kate = x - 2
Kate = 12 - 2
Kate = 10
29580 + 3440 = 33020. The is about 33,000mi. The answer is d.
<h2>
QUESTION</h2>
What is 33% of 400?
<h2>
ANSWER AND EXPLANATION</h2>
To find the percent of a number, you have to change the percent into a decimal or a fraction and multiply by the number.
<h3>
DECIMAL</h3>
To change a percent into a decimal, remove the percent sign and move the decimal point 2 places to the left.

Now that you have your decimal, multiply by 400:

ANSWER = 132
<h3>
FRACTION</h3>
To change a percent into a fraction, make the percent number as the numerator(top number) and 100 as the denominator(bottom number) since fractions are out of 100.

Now that you have your fraction, multiply by 400:

ANSWER = 132
<em>If you have any questions, feel free to ask in the comments! :)</em>
Answer:
x = 1
Step-by-step explanation:
Given the matrix;
![-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]](https://tex.z-dn.net/?f=-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26-1%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%268%5C%5C-1%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2610%5C%5C-7%26-4%5Cend%7Barray%7D%5Cright%5D)
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1