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ycow [4]
2 years ago
6

The value of y is directly proportional to the value of x. Given y = 12 when x = 36.

Mathematics
1 answer:
Ahat [919]2 years ago
5 0

Answer:

y = 20

Step-by-step explanation:

The problem states that y = 12 when x = 36. 36/12 is 3. This means that y is a third of what x is. This would mean that if x = 60, y would be a third of 60 which is 20 since 60/3 is 20.

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boyakko [2]

Answer:

No

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

\frac{6}{1.5} = 4

\frac{10}{2.5} = 4

\frac{12}{3.5} ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

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The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.
Olegator [25]

Answer:

<h3>              9, 11, 13, 15</h3>

Step-by-step explanation:

{k - some integer}

2k+1  - the first odd integer (the least)

5(2k+1)  - five times the least

5(2k+1)+3 -<u> three more than five times the least</u>

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2k+3+2 = 2k+5  - the next odd consecutive integer (third)

2k+5+2 = 2k+7  - the last odd consecutive integer (fourth)

2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>

2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3

8k + 16 = 10k + 5 + 3

     - 10k       -10k

-2k + 16 = 8

     -16       - 16    

      -2k = -8  

    ÷(-2)    ÷(-2)  

      k = 4

2k+1 = 2•4+1 = 9

2k+3 = 2•4+3 = 11

2k+5 = 2•4+5 = 13

2k+7 = 2•4+7 = 15  

Check: 9+11+13+15 = 48;  48-3 = 45;  45:5 = 9 = 2k+1

4 0
3 years ago
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<em>Answer: “As much wood as a woodchuck could chuck, If a woodchuck could chuck wood.) Researchers at Cornell determined that a woodchuck could chuck about 700 pounds: </em>

8 0
2 years ago
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Lera25 [3.4K]

Answer:

Slope: -3/4

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Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

6 0
3 years ago
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