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Citrus2011 [14]
2 years ago
14

I need help for B it’s due tomorrow :(((

Mathematics
2 answers:
zmey [24]2 years ago
6 0

Answer:

Percent Proportion

A percent proportion is an equation where a percentage (%) of the whole is equal to the part of the whole or we can say it is an equation where a percent is equal to an equivalent ratio.

What is Percent Proportion?

When the ratio of part to whole is equal to the ratio of a percent to 100, shows a percent equal to an equivalent ratio, we call it a percent proportion. A percentage is a fraction expressed with 100 as the denominator. When two ratios are equal, they are said to be in proportion. Proportions are denoted by using the symbols "=" or "::". For example, 1/5 :: 20/ 100, and the given proportion is read as "1 is to 5 equals to 20 is to 100".

Percentage in the Form of a Fraction Shows Proportion

Following are the given examples that show how the percentage is converted into fractions and shows the proportion.

25% means 25 parts out of 100 and 25/100 = 1/4 of the total parts (whole). So, the given proportion is read as "25 is to 100 equals to 1 is to 4".

40% means 40 parts out of 100 and 40/100 = 2/5 of the total parts (whole). So, the given proportion is read as "40 is to 100 equals to 2 is to 5".

75% means 75 parts out of 100 and 75/100 = 3/4 of the total parts (whole). So, the given proportion is read as "75 is to 100 equals to 3 is to 4".

Percent Proportion Formula

The percent proportion formula helps in solving problems. It is expressed in form of PART/WHOLE = PERCENT/100, where,

PERCENT is the number with a percent sign.

PART is the number with the word IS.

WHOLE is the number with the word OF.

For example, 30 is what percent of 60? Here IS and OF are used in question where IS is PART and OF is WHOLE. Now with the help of formula, Part/Whole = Percent/100 ⇒ 30 / 60 = Percent /100 ⇒ Percent = (30 / 60) × 100 = 50%

Taking another example, What number is 10 % of 50?

Part/Whole = Percent/100 ⇒ Part/50 = 10/100 ⇒ Part = 5. Therefore, 10% of 50 is 5.

Percent proportion

Related articles on Percent Proportion

Check out these interesting articles to know more about the percent proportion and its related topics.

Ratio and Proportion

Percentages

Fraction to Percent

Percent proportion calculator

ANTONII [103]2 years ago
6 0

For company S

  • (0,5)
  • (10,20)

\\ \tt\hookrightarrow m=\dfrac{20-5}{10}=1.5

For company Z

  • (0,15)
  • (10,20)

\\ \tt\hookrightarrow m=\dfrac{20-15}{10}=0.5

Company Z is better

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Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?
Vesnalui [34]

Answer:

C. Similarity cannot be determined

Step-by-step explanation:

Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.

Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.

3 0
3 years ago
Please help with a, b, and c!!
padilas [110]
(a). 
The product of two binomials is sometimes called FOIL.
It stands for ...

       the product of the First terms                (3j  x  3j)
plus
       the product of the Outside terms          (3j  x  5)
plus
       the product of the Inside terms            (-5  x  3j)
plus
       the product of the Last terms                (-5  x  5)

FOIL works for multiplying ANY two binomials (quantities with 2 terms).

Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .

Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.

Whenever you have     

              (the sum of two things) x (the difference of the same things)

the product is going to be

                 (the first thing)²  minus  (the second thing)² .

So in (a), that'll be      (3j)² - (5)²  =  9j² - 25 .

You could find the product with FOIL, or with this easier tool.
______________________________

(b).
This is the square of a binomial ... multiplying it by itself.  So it's
another product of 2 binomials, that both happen to be the same:

                            (4h + 5) x (4h + 5)  .

You can do the product with FOIL, or use another little tool:

The square of a binomial        (4h + 5)²    is ...

         the square of the first term               (4h)²
plus
         the square of the last term                (5)²
plus
         double the product of the terms      2 · (4h · 5)
________________________________

(c).
Use the tool I gave you in part-a . . . twice .

The product of the first 2 binomials is           (g² - 4) .

The product of the last 2 binomials is also    (g² - 4) .

Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .

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For the equation to work, you have to have the same number on both sides of the equal sign

so to find ?, you can do:

13 - 2 = 12 - ?       Simplify

11 = 12 - ?       Subtract 12 on both sides

-1 = - ?     Multiply -1 on both sides

1 = ?

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