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AnnZ [28]
2 years ago
13

-7w + 2(w + 8) = -24 Can you help me find w?

Mathematics
1 answer:
stiv31 [10]2 years ago
6 0
-7w + 2(w + 8) = -24

First, expand your equation.
-7w + 2w + 16 = -24
Second, add '-7w + 2w' to get '5w'.
-5w + 16 = -24
Third, take away '16' from both sides.
-5w = -24 - 16
Fourth, subtract '-24 - 16' to get '-40'.
-5w = -40
Fifth, divide both sides by '-5' and change it into a positive.
w =  \frac{40}{5}
Sixth, how many times does 5 go into 40? 40 ÷ 5 = 8.
w = 8

Answer: w = 8

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The ratio of the areas of the two squares is 25 to 9. The side length of the smaller square is 30 meters. How long is the side l
Ratling [72]
Ratios of Area of the two squares = 25:9
So then let the areas be A1 = 25A and A2 = 9A, A is common element
Side of the smaller area S2 = 30 meters
Area of the smaller square A2 = 30 x 30 = 900
We have area of smaller square as 9A = 900 => A = 100
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6 0
2 years ago
The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an
Ivanshal [37]

Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

A=LW

we have

L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft

substitute

A=(12)(10.5)=126\ ft^2

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

so

we have

L=(12+x)\ ft\\W=10.5\ ft

The new area is

A=10.5(12+x)\ ft^2

The expanded form of the expression is

Apply distributive property

A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2

6 0
3 years ago
I need help please and thank you
Anit [1.1K]

Answer:

4

Step-by-step explanation:

The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.

Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.

Solving that equation will give you b=-7

That means the y-intercept is -7.

The equation would then be y=4x-7

6 0
2 years ago
A diagram of a swimming pool is below. The width of the pool is 25 m, find the length of the actual pool?
lara [203]

Answer:50

Step-by-step explanation:

7.5 x 2 = 15

25 x 2 = 50

8 0
3 years ago
Read 2 more answers
PLEASE SOLVE CORRECTLY!!! I HAVE CHECKED THE ANSWER AND IT SAYS $64.67 BUT I DON'T KNOW THE PROCESS TO GET THAT ANSWER!!! HELP!!
Sphinxa [80]

Answer:

see below

Step-by-step explanation:

First determine how much is subtracted from the account

12.57+24.95+36.86 =74.38

They charge .15 per check=3*.15 = .45

Subtract the amounts of the checks and the check fees

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7 0
3 years ago
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