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emmasim [6.3K]
3 years ago
14

Which of the numbers below belong to both the set of integers and rational numbers?

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0
I, II, and III are because a<span> </span>rational number<span> is any </span>number<span> that can be written as a ratio of two integers </span>
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Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9
Katena32 [7]

Given :-

  • y varies directly as x, and y=14 when x=4.

To Find :-

  • the value of y when x=9 .

Solution :-

<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>,</u>

  • y = kx ( k is constant )

<u>When</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>4</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>4</u><u> </u><u>,</u>

  • 14 = k(4)
  • k = 14/4
  • k = 7/2

<u>W</u><u>h</u><u>e</u><u>n</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>,</u>

  • y = 7/2*9
  • y = 63/2
  • y = 31.5
8 0
3 years ago
Please help I really need help please
fomenos

Answer:

A

Step-by-step explanation:

The side lengths must satisfy the Pythagorean Theorem to be a right triangle. The formula is a^2 + b^2 = c^2 where a is the smallest side, b is the medium side, and c is the largest side. Test each set of numbers.

a = 6, b = 8, c= 10\\6^2 + 8^2 = 10^2\\36 + 64 = 100\\100 = 100

This satisfies the theorem. Since this is a multiple choice question, only one solution is possible. A is the solution.

6 0
3 years ago
1. (10 points) Explain how to factor the following:
kap26 [50]

Answer:

A. 3m² + 4m + 1 = 0

3m² + 3m + m + 1 = 0

3m (m + 1) + 1 (m + 1) = 0

( 3m + 1 ) (m + 1) = 0

B. 16n - 25

16n = 25

n = 25/16

6 0
3 years ago
How many pounds and ounces are there in 26 oz?
a_sh-v [17]

1 pound = 16 ounces

_ pound = 26 ounces

Multiply 1 × 26 = 26

Divide 26 ÷ 16 = 1.625 or 2

So, 1.625 or 2 pounds will equal to 26 ounces.

Hope this helps :)

5 0
3 years ago
Explain how you can use absolute value to tell wether the sum of two integers is positive or negative
Rudiy27

Step-by-step explanation:

Using absolute value to tell wether the sum of two integers is positive or negative.

Suppose we have a positive integer,

x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.

For any integer x, x + (-x) = 0

3 0
3 years ago
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