The area of a square is equal to the side squared.

We can plug in 24 for A and then take the square root of each side to find s.

We can simplify √24.
The prime factorization of 24 is 2×2×2×3.
Since we have 2×2 inside the radical we can simplify to have 2 outside the radical.

We can then use a calculator to find an approximate decimal value for 2√6.
(You could technically calculate it by hand using the Babylonian method, I don't think you're expected to do that, though)
216:1000
108:500
54:250
27:125 is the ratio in simplest form.
Answer: D
<u>Step-by-step explanation:</u>
In order to increase each ticket by $2, you are ADDING 2 to each value.
So you create a matrix of all 2's and add that to the given matrix.
![\left[\begin{array}{cc}2&2\\2&2\\2&2\end{array}\right] +\left[\begin{array}{cc}8&10\\12&16\\6&8\end{array}\right]\quad =\quad \large \left[\begin{array}{cc}10&12\\14&18\\8&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%262%5C%5C2%262%5C%5C2%262%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D8%2610%5C%5C12%2616%5C%5C6%268%5Cend%7Barray%7D%5Cright%5D%5Cquad%20%3D%5Cquad%20%5Clarge%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D10%2612%5C%5C14%2618%5C%5C8%2610%5Cend%7Barray%7D%5Cright%5D)
<span>The answer to your question would be </span><span>216.9112</span>.
Step-by-step explanation (Question 1):
<u>Step 1: (Question 1): Subtract x from both sides.</u>
5x+3=x+13
5x+3−x=x+13−x
4x+3=13
<u>Step 2: (Question 1): Subtract 3 from both sides.</u>
4x+3−3=13−3
4x=10
<u>Step 3: (Question 1): Divide both sides by 4.</u>
4x/4 = 10/4
FIRST ANSWER: x = 5/2
Step-by-step explanation (Question 2):
<u>Step 1: (Question 2): Multiply by LCM</u>
15x^2 - 6 = x
<u>Step 2: (Question 2): Solve 15x^2</u>
15x^2 - 6 = x:
x = 2/3
x = -3/5
<u>Step 3: (Question 2): Solve</u>
ANSWER: x=0.666667 or x=−0.6
See Attachment 1 for question 1 steps (FULL)
See Attachment 2 for question 2 steps (FULL)
Answer:
1) x = 5/2
2) x=0.666667 or x=−0.6
Hope this helps.