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marin [14]
3 years ago
8

What is the solution to this inequality?4(2x + 2) + 12 > 100please help!!​

Mathematics
1 answer:
skad [1K]3 years ago
7 0

Subtract 12 from both sides

4(2x + 2) > 100 - 12

Simplify 100 - 12 to 88

4(2x + 2) > 88

Divide both sides by 4

2x + 2 > 88/4

Simplify 88/4 to 22

2x + 2 > 22

Subtract 2 from both sides

2x > 22 - 2

Simplify 22 - 2 to 20

2x > 20

Divide both sides by 2

x > 20/2

Simplify 20/2 to 10

<u>x > 10</u>

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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
Convert 12 7/12 to a common number
o-na [289]
As a decimal it is 0.58
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3 years ago
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sattari [20]
25m/90minutes = .278 mile/minute

Divide 25/90 to get .278

Hope that helps
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3 years ago
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EastWind [94]

Answer: 0.8% of 5,700 = <u><em>45.6 </em></u>

Step-by-step explanation:

0.8% × 5,700 =

(0.8 ÷ 100) × 5,700 =

(0.8 × 5,700) ÷ 100 =

4,560 ÷ 100 =

45.6;

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