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SVETLANKA909090 [29]
2 years ago
14

Here is a diagram and its corresponding equation. Find the solution to the equation.

Mathematics
2 answers:
Katen [24]2 years ago
5 0
4(x + 7) = 38

Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.

You would use distributive property to multiply each which should leave your equation looking like this afterwards:

4x + 28 = 38
(4 times x and 4 times 7)

You would then solve it like a two step equation,

1. +28 - 28 = 0
2. 38 - 28 = 10

4x = 10

10 divided by 4 = 2.5

x = 2.5

We can recheck our work by substituting in the value of x.

4(2.5 + 7) = 38

10 + 28 = 38

When we substituted in the value, it gave us the correct inequality.

Therefore,
x = 2.5
Agata [3.3K]2 years ago
5 0

Answer:

x = 2.5

Step-by-step explanation:

Hello!
Let's solve the equation together :)

Solve:

  • 4(x + 7) = 38      => Over here, we want to multiply x and 7 by 4, or distribute 4 to both numbers inside the parenthesis.

  • 4(x) + 4(7) = 38   =>See how I split the multiplication apart? That's called the<u> Distributive Property</u>

  • 4x + 28 = 38      => Simplify. Now subtract 28 from both sides

  • 4x = 10               =>Now that we multiply x by 4, we divide both sides to isolate x

  • x = 10/4             => Simplify

  • x = 2.5

Your answer is <u>x = 2.5</u>

<u />

<u>Check:</u>

Plug in 2.5 into our equation

  • 4(x + 7) = 38
  • 4(2.5 +7) = 38
  • 4(2.5) + 4(7) = 38
  • 10 + 28 = 38
  • 38 = 38

Both sides match so our answer is correct.

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Step-by-step explanation:

8 0
3 years ago
How would the expression x-9 be rewritten using Difference of Squares?
yaroslaw [1]

Answer:

Step-by-step explanation:

(x+3)(x-3)

x squared and -9 are both square numbers.

the square root of x^2 is x

the square root of -9 is 3. so you just need to write (x+3)(x-3)

you can check by expanding the brackets and the middle x terms should cancel out

4 0
3 years ago
What is the l and w of a rectangular field of 40 ft perimeter?
shusha [124]
The perimeter doesn't tell you the dimensions.

With a 40-ft perimeter, there an infinite number of possibilities
for the length and with.  The only thing we know for sure is that
the sum of (length + width) is 20-ft.

The field could be . . .

1'  by  40'
2'  by  20'
3'  by  13-1/3 '
4'  by  10'
5'  by  8'
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3 0
3 years ago
The farmer decided that he ordered enough planks for an arena that measured 115 1/4 ft by 63 1/2 ft. Is he correct? Explain.
Mars2501 [29]

Answer:

<h2>The question we need to answer is what is the perimeter of the arena</h2>

Step-by-step explanation:

The question we need to answer is what total length of plank did the farmer ordered for the arena.

to solve for the length of plank to cover the arena we need to solve for the perimeter of the arena.

given data

length L= 115 1/4 ft = 115.25ft

width W= 63 1/2 = 63.5ft

perimeter= 2L+2W

perimeter= 2(115.25)+2(63.5)

perimeter= 230.5+127

perimeter= 357.5ft

This means that the farmer ordered a total length of 357.5ft of plank

3 0
3 years ago
What factors equal 120
kodGreya [7K]
1 by 120
2 by 60
3 by 40
4 by 30
5 by 24
6 by 20
8 by 15
10 by 12
3 0
4 years ago
Read 2 more answers
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