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90 is 150% of what number?

90 n = 150 100

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77 is 110% of what number?

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What percent of 85 is 17 ?

17 85 = p 100

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What percent of 92 is 46 ?

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What percent of 260 is 340 ?

340 260 = p 100

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What percent of 180 is 220 ?

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Translate and Solve Percent Proportions

In the following exercises, translate and solve using proportions.

What number is 65% of 180 ?

117

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What number is 55% of 300 ?

165

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18% of 92 is what number?

16.56

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22% of 74 is what number?

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175% of 26 is what number?

45.5

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250% of 61 is what number?

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What is 300% of 488 ?

1464

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17% of what number is $7.65 ?

$45

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19% of what number is $6.46 ?

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$13.53 is 8.25% of what number?

$164

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$18.12 is 7.55% of what number?

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What percent of 56 is 14 ?

25%

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What percent of 80 is 28 ?

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What percent of 96 is 12 ?

12.5%

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What percent of 120 is 27 ?

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Everyday math

Mixing a concentrate Sam bought a large bottle of concentrated cleaning solution at the warehouse store. He must mix the concentrate with water to make a solution for washing his windows. The directions tell him to mix 3 ounces of concentrate with 5 ounces of water. If he puts 12 ounces of concentrate in a bucket, how many ounces of water should he add? How many ounces of the solution will he have altogether?

20, 32

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Mixing a concentrate Travis is going to wash his car. The directions on the bottle of car wash concentrate say to mix 2 ounces of concentrate with 15 ounces of water. If Travis puts 6 ounces of concentrate in a bucket, how much water must he mix with the concentrate?

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Writing exercises

To solve “what number is 45% of 350 do you prefer to use an equation like you did in the section on Decimal Operations or a proportion like you did in this section? Explain your reason.

Answers will vary.

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To solve “what percent of 125 is 25 do you prefer to use an equation like you did in the section on Decimal Operations or a proportion like you did in this section? Explain your reason.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

.

Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?

Understand Percent

In the following exercises, write each percent as a ratio.

32% admission rate for the university

32 100

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53.3% rate of college students with student loans

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In the following exercises, write as a ratio and then as a percent.

13 out of 100 architects are women.

13 100 , 13%

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9 out of every 100 nurses are men.

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In the following exercises, convert each percent to a fraction.

In the following exercises, convert each percent to a decimal.

In the following exercises, convert each percent to

  1. ⓐ a simplified fraction and
  2. ⓑ a decimal.

In 2012 , 13.5% of the United States population was age 65 or over. (Source: www.census.gov)

  1. 27 200
  2. 0.135

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In 2012 , 6.5% of the United States population was under 5 years old. (Source: www.census.gov)

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When a die is tossed, the probability it will land with an even number of dots on the top side is 50% .

  1. 1 2
  2. 0.5

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A couple plans to have three children. The probability they will all be girls is 12.5% .

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In the following exercises, convert each decimal to a percent.

Questions & Answers

how to study physic and understand
Ewa Reply
what is conservative force with examples
Moses
what is work
Fredrick Reply
the transfer of energy by a force that causes an object to be displaced; the product of the component of the force in the direction of the displacement and the magnitude of the displacement
AI-Robot
why is it from light to gravity
Esther Reply
difference between model and theory
Esther
Is the ship moving at a constant velocity?
Kamogelo Reply
The full note of modern physics
aluet Reply
introduction to applications of nuclear physics
aluet Reply
the explanation is not in full details
Moses Reply
I need more explanation or all about kinematics
Moses
yes
zephaniah
I need more explanation or all about nuclear physics
aluet
Show that the equal masses particles emarge from collision at right angle by making explicit used of fact that momentum is a vector quantity
Muhammad Reply
yh
Isaac
A wave is described by the function D(x,t)=(1.6cm) sin[(1.2cm^-1(x+6.8cm/st] what are:a.Amplitude b. wavelength c. wave number d. frequency e. period f. velocity of speed.
Majok Reply
what is frontier of physics
Somto Reply
A body is projected upward at an angle 45° 18minutes with the horizontal with an initial speed of 40km per second. In hoe many seconds will the body reach the ground then how far from the point of projection will it strike. At what angle will the horizontal will strike
Gufraan Reply
Suppose hydrogen and oxygen are diffusing through air. A small amount of each is released simultaneously. How much time passes before the hydrogen is 1.00 s ahead of the oxygen? Such differences in arrival times are used as an analytical tool in gas chromatography.
Ezekiel Reply
please explain
Samuel
what's the definition of physics
Mobolaji Reply
what is physics
Nangun Reply
the science concerned with describing the interactions of energy, matter, space, and time; it is especially interested in what fundamental mechanisms underlie every phenomenon
AI-Robot
what is isotopes
Nangun Reply
nuclei having the same Z and different N s
AI-Robot
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Practice Key Terms 3

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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