I have completed the 1st one and have attached it.
Answer:
B, C, and E
Step-by-step explanation:
<u>Simplify all answer choices:</u>
A.
5(2x+10)+1=
10x+50+1=
10x+51
B.
7(x+2)+3x-3=
7x+14+3x-3=
10x+11
C.
3(3x+4)+x-1=
9x+12+x-1=
10x+11
D.
2(6x+4)+2x+5=
12x+8+2x+5=
14x+13
E.
2(6x+5)-2x+1=
12x+10-2x+1=
10x+11
Answer choices B, C, and E simplify to 10x+11
Answer: 
<u>Step-by-step explanation:</u>
Isolate w by performing the following steps
- Multiply by 6 on both sides to clear the denominator
- Subtract 3 from both sides
- Divide both sides by 2
![y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7Bw%7D%7B3%7D%5C%5C%5C%5C%5C%5C6%5Cbigg%5By%3D%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7Bw%7D%7B3%7D%5Cbigg%5D%5Cquad%20%5Cimplies%20%5Cquad%206y%3D3%2B2w%5C%5C%5C%5C%5C%5C6y-3%3D3-3%2B2w%5Cquad%20%5Cimplies%20%5Cquad%206y-3%3D2w%5C%5C%5C%5C%5C%5C%5Cdfrac%7B6y-3%7D%7B2%7D%3D%5Cdfrac%7B2w%7D%7B2%7D%5Cquad%20%5Cimplies%20%5Cquad%20%5Clarge%5Cboxed%7B%5Cdfrac%7B6y-3%7D%7B2%7D%3Dw%7D)
Add EF and DE together to equal 32
2x-10 + 4x = 32
Combine like terms;
6x-10 = 32
Add 10 to each side:
6x = 42
Divide both sides by 6:
x = 42/6
X = 7
EF = 2x-10 = 2(7)-10 = 14-10 = 4
DE = 4x = 4(7) = 28
Answer:
14√2 feet
Step-by-step explanation:
The length of a diagonal of a square is 
where 
is the side length of the square. Therefore, 
.
