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siniylev [52]
3 years ago
13

The sum of two integers is 54 and the difference is 10. Fin the integers

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:x + y = 54

x - y = 10

Add them to get: 2x = 64

x = 32

and plugging in x = 32 to either equation: y = 22

Ans: the numbers are 22 and 32

Step-by-step explanation:

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Graph the line that passes through the point (0,-7) and (-3,-9) and determine the equation of the line
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Answer:

The equation is y=2/3x-7

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What the answer for 1/4 x 12
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Treat 12 as 12/1 that means 12 divided into 1 part
1/4 times 12/1

multiply the top and the bottom becuase

\frac{x}{y} times \frac{z}{t} = \frac{x times z}{y times t} so

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Arrange the following polynomial into descending order for x, then interpret the degree of the 3rd term. 2xy4 + 2x2y − 3y2 + 10x
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The arrangement should be based on the decreasing degree of the terms which may be determined by the variable x as it should come first in alphabetical order. The polynomial is then,
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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2
ivolga24 [154]

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?

5n = 3d and n - 2 = 2d - 4

5n = 3d and 2n - 4 = d - 2

3n = 5d and 2n - 4 = d - 2

Answer:

5n = 3d and 2n – 4 = d – 2

Solution:

Let n be the numerator of the fraction and d be the denominator of the fraction.

Given the numerator and denominator of a fraction are in the ratio of 3 to 5.

This can be written as n : d = 3 : 5.

⇒ \frac{n}{d}= \frac{3}{5} – – – – (1)

Do cross multiplication, we get

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When the numerator and denominator are decreased by 2, the fraction is equal to \frac{1}{2}.

⇒ \frac{n-2}{d-2}= \frac{1}{2}

Do cross multiplication, we get

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⇒ 2n – 4 = d – 2

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