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Finger [1]
3 years ago
5

By what percent will a fraction change if its numerator is decreased by 20% and its denominator is decreased by 60%?

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

The fraction will increase by 100%

Step-by-step explanation:

Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):

= \frac{0.8x}{0.4y}\\= 2 (\frac {x}{y})

You can see that by applying these changes, the new fraction is actually double the old fraction (i.e. will increase by 100%).

KonstantinChe [14]3 years ago
4 0

Answer:

50%

Step-by-step explanation:

x=1x so 1-0.6=0.4x

y=1y so 1-0.2=0.8x

0.4x/0.8y

Simplify:

1x/2y= 0.5xy

0.5xy*100=50%

So it decreased by 50%

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(-70y^2 - 63xy) + (90x^3 + 100yx^2).  Now out of the first set we are going to factor out a -7y, and out of the second set we are going to factor out a 10x^2. When we do this, this is what we get: -7y(10y + 9x) + 10x^2(9x + 10y). As you can see, what's inside both sets of parenthesis is the same, just in a different order. We can factor that out now, leaving (9x + 10y)(10x^2 - 7y). And that is factored by grouping.
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Jacob is mixing salt with
77julia77 [94]

The number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

<h3>How to interpret the division? </h3>

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus, a \div b = a divided in b equal parts.

Also, we can write: a \div b = a \times \dfrac{1}{b}

(it is since a = a times 1 so a/b = 1 \times (a/b) = (1/b) \times a)

The given table is:

Tablespoons of salt          Cups of water

             8                                    2

             16                                   4

             24                                   6

2 cups of water gets 8 tablespoon of salt.

Then 1 cup of water gets 8/2 = 4 tablespoons of salt. (divided the numbre of cups of water and number of tablespoons of salts in 2 equal parts).

This pattern remains same for other rows of the table, since we have:

1 cup of water gets 8/2 = 16/4 = 24/6 = 4 tablespoons of salt.

Thus, the number of tablespoons of salt jacob mixes with 1 cup of water is 4 tablespoon of salt.

Learn more about division here:

brainly.com/question/26411682

#SPJ1

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