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3 years ago

If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?

Mathematics

1 answer:

Solnce55 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

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10x^3+40x^2+15x<br>------------------------------<br> 5x<br>

Anna71 [15]

Answer:

Step-by-step explanation:

$\dfrac{10x^3 + 40x^2 + 15x}{5x}\\ \dfrac{10x^3}{5x} +\dfrac{40x^2}{5x}+\dfrac{15x}{5x}$

2x^2 + 8x + 3 is your final answer.

4 0

3 years ago

Ralph owns a circular farm as shown. He is planning to fence a triangular pigpen ABC in the farm. Point M is the midpoint of the

Flauer [41]

Answer:

$Total = \$942$

Step-by-step explanation:

Given

$A = (0,0)$

$C = (3,4)$

See attachment for farm

Required

The cost of fencing the farm

First, calculate the radius of the farm.

The radius is represented with AC.

So, we have:

$AC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$ ---- distance formula

So, we have:

$AC = \sqrt{(0 - 3)^2 + (0 - 4)^2}$

$AC = \sqrt{(- 3)^2 + ( - 4)^2}$

$AC = \sqrt{9+16}$

$AC = \sqrt{25}$

$AC = 5$

Hence:

$r = 5$ --- radius

Calculate the circumference of the circle

$C = 2\pi r$

$C = 2 * 3.14 * 5$

$C = 31.4yd$

If 1 yard costs $30, 31.4 yards will cost:

$Total = 31.4 * 30$

$Total = \$942$

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3 years ago

A 32 oz bottle of fruit juice costs $6.72.

Fittoniya [83]

$32\ ounces\ cost\ 6,72\$\\
1\ ounce\ costs\ x\\\\
Making\ ratio:\\
32-6,72\\
1-x\\\\\ Cross\ multiplication:\\
32x=6,72*1\\
32x=6,72\ \ \ \ | divide\ by\ 32\\
x=0,21\$\\\\
One\ ounce\ costs\ 0,21\$.$

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4 years ago

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3 years ago

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Slav-nsk [51]

Answer:

Hope this will help you.

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