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mojhsa [17]
3 years ago
8

The value of y varies directly with x, and y=3 when x=9 find y when x = 21

Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer: y = 7

Step-by-step explanation:

Step 1) plug in 3 for y and 9 for x in the direct variation formula, which is y = kx

3 = k(9)

Step 2) Solve for k

3 = k(9) (Divide by 9 on both sides)

3/9 = k (Now simplify 3/9)

1/3 = k. So k = 1/3

*just FYI: “k” is the constant of variation.

Step 3) use the equation y = kx and plug in 1/3 for k

y = 1/3x

Step 4) using the equation y = 1/3x, plug in 21 for x.

y = 1/3(21) (1/3*21 is the same as 21/3)

y = 21/3 (21/3 = 7)

y = 7. So that’s you’re answer! When x=21, y=7 because 7 is 1/3 of 21!

Hope this helps! My best wishes to you as you go through school!

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Answer:

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Step-by-step explanation:

radius = half of diameter

d = 6

r = 6/2 = 3

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a = area

r = radius = 3

π = pi

a = π * r²

we replace with the known values

a = π * (3)²

a = π * 9

a = 9π

The area of the circle in terms of pi is 9π

9 * 3.14 = 28.26

The area of the circle is 28.26

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3 years ago
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Answer:  78.5 units^2

Step-by-step explanation:

The area of the circle is equal to pi*radius^2.

The diameter is double the radius, which means the radius is 10/2 = 5.

Therefore, the area is pi*5^2 = 25pi.

We use 3.14 for pi and we get 25*3.14 = 78.5 units^2

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2 years ago
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Step-by-step explanation:

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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

===============

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

           78 + 18 = 96

                   96 = 96


4 0
3 years ago
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