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ad-work [718]
3 years ago
12

Write the solution to the inequality in set - builder notation: 5r + 8 < 63

Mathematics
1 answer:
Leni [432]3 years ago
7 0
<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
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77% of what number is 100.1%
jasenka [17]

Answer:

130

Step-by-step explanation:

Percentage of 77% of what = 100.1?

77% × ? = 100.1

? =

100.1 ÷ 77% =

100.1 ÷ (77 ÷ 100) =

(100 × 100.1) ÷ 77 =

10,010 ÷ 77 =

130

6 0
2 years ago
Read 2 more answers
PLEASE HELP! 28 POINTS!
ehidna [41]
1.) 7.2 2.) 15 3.)12
4.) 23 5.) 100, 100, 1000
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2 years ago
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PLEASE HELP ME, I HAVE NO IDEA! Find an equation for the line below.
irga5000 [103]

9514 1404 393

Answer:

  y -2 = -2/3(x +4)

Step-by-step explanation:

There are several different forms of the equation for a line. Each is useful in its own way. Here, the line crosses the y-axis at a point between integer values, so using that intercept point could be problematical. That suggests the "point-slope" form of the equation for a line would be a better choice.

That form is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

__

The two marked points are (-4, 2) and (5, -4). All we need is the slope.

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1) . . . . . . . . where the given points are (x1, y1) and (x2, y2)

  m = (-4 -2)/(5 -(-4)) = -6/9 = -2/3

Using the first point, the equation for the line can now be written as ...

  y -2 = -2/3(x -(-4))

  y -2 = -2/3(x +4)

8 0
2 years ago
What is the value of 742 + 16/42
Shtirlitz [24]

Answer:

742,380952381 <em>OR</em> 31180/42

Step-by-step explanation:

16/42=0,380952381

742+0,380952381=742,380952381

<em>or</em>

(742*42)/42 + 16/42 = (31164+16) /42 = 31180/42

6 0
2 years ago
Which expression is equivalent to -4/7 - 8/9 + 4/7 - 9/8
olya-2409 [2.1K]

Answer:

<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>

71/72 + 70/72 +4/72

-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8

<em>Solved: -2 1/72</em>

Step-by-step explanation:

I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.

<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>

<em>Hope this helps!</em>

5 0
2 years ago
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