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3 years ago

If y varies inversely with x and y is 10 when x is 5, then what is y when x is 2?

Mathematics

1 answer:

Jobisdone [24]3 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

Inverse variation means ...

y = k/x

For the given values, we can find k to be ...

k = xy = (5)(10) = 50

Then for x=2, we have ...

y = 50/x

y = 50/2

y = 25 . . . when x=2

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Answer:

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2 years ago

A company makes a block of cheese in the shape of a rectangular prism with dimensions 4 inches by 2 inches by 2 inches. They wan

Art [367]

Answer:

Step-by-step explanation:

pyramid has a height of 5 inches and a volume of 60 cubic inches. Select all figures that could be the base for this pyramid.

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2 years ago

The perimeter of the rectangle is 22 meters, and the perimeter of the triangle is 12 meters. Find the dimensions of the rectangl

lianna [129]

Answer:

Length:8 m

Width:3 m

Step-by-step explanation:

The complete question is

If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.

step 1

Perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

we have

$P=22\ m$

$22=2(L+W)$

Simplify

$11=L+W$ -----> equation A

step 2

Perimeter of triangle

The perimeter of triangle is equal to

$P=\frac{L}{2}+W+5$

$P=12\ m$

$12=\frac{L}{2}+W+5$

Multiply by 2 both sides

$24=L+2W+10$

$L+2W=14$ ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (8,3)

see the attached figure

therefore

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2 years ago

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julia-pushkina [17]

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Step-by-step explanation:

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