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Inga [223]
3 years ago
12

4. Describe the proportion method for solving a percentage problem:

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
7 0

There are different ways percent problems can be solved. One of the ways to solve a percent problem is by using proportion method.

By using proportion method, the set-up is the same, I.e.

<h2>Further Explanation</h2>

\frac{Part}{whole} = \frac{percentage}{100}

In any given expression:

  • The number that has the % sign is the percent
  • The number with the word “is” is the part
  • The number with the word “of” is the whole
<h3><u>Example 1:</u></h3>

What number is 80% of 10?

It can be expressed as:

\frac{part}{10} = \frac{80}{100}

If we cross multiply, then we have:

10 x 80 = 100 x part

800 = 100 x part

\frac{800}{100} = \frac{100}{100} x part (800 cross out 100 to give 8 and 100 cross out 100)

8 = part

<h3><u>Example 2:</u></h3>

3 is what percentage of 6?

It can be expressed as:  

\frac{3}{6} = \frac{percentage}{100}

If we cross multiply, then we have:

3 x 100 = 6 x the percent

300 = 6 x the percent

\frac{300}{6} = \frac{6}{6} x the percent (300 cross out 6 to give 50 and 6 cross out 6)

50 = the percent

LEARN MORE:

  • 1/6 the sum of 16 and 20  brainly.com/question/3003193
  • 1/8 the sum of 23 and 17  brainly.com/question/957390

KEYWORDS:

  • proportion method
  • percentage problem
  • cross multiplication
  • percent
  • multiplying
kondor19780726 [428]3 years ago
3 0

Step-by-step explanation:

Consider the provided information.

For the proportion method first set up the equation like this:

\frac{Part}{Whole}=\frac{Percentage}{100}

Perform the cross multiplication and then solve for the missing part.

For example:

Find 80 percentage of 10.

Step 1: Set up the equation.

\frac{Part}{10}=\frac{80}{100}

\frac{Part}{10}=\frac{4}{5}

Step 2: Perform the cross multiplication

Part=\frac{4}{5}\times 10

Step 3: Solve for the missing part.

Part=4 \times 2

Part=8

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1. What is the value of x? Show your work to justify your answer.
Reil [10]

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x


The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154


8 0
3 years ago
The length of a square is 6 2/3 inches. What is the Perimeter of the square?
Kruka [31]

Answer:

<u><em>26 2/3 inches</em></u>

Step-by-step explanation:

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