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2 years ago

If y varies inversely as x, and y = 10 when x = 20, find x when y = 16.

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

5 0

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

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Write an equation of the line through (6,-2) with a slope of 4

torisob [31]

Notice that for this question, they are providing you with:

1) The slope of the line (4)

2) a point on the plane through which the line goes (6, -2)

So you can directly use for this the "point-slope" form of a line which is as follows:

$y-y_0=m(x-x_{0)}$

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.

So, let's use the info they gave you to complete this:

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which we can work out a little more:

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6 months ago

FA is a line, line segment, and a ray. tru or false

bezimeni [28]

Answer:

The answer is "false".

Step-by-step explanation:

The following are the description of the line, line segment, and ray.

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2 years ago

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2 years ago

You’ve been asked to order cake for your school dance. Here’s a formula for the scenario: z=xa/y

olga nikolaevna [1]

Answer:

The number of cake for order is 15 cakes .

Step-by-step explanation:

Given as :

Total number of people to attend the dance = x = 60

The number of slices each person will eat = A = 2 slices

The number of slices per cake = y = 8 slices

Let The number of cake for order = z

Now, According to question

Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat

i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A

Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices

Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices

Again

∵ number of slices per cake = 8

∴ The number of cake for order = $\dfrac{\textrm Total slices of cake required for 60 people when each people eat 2 slices}{\textrm number of slices per cake }$

Or, z = $\frac{x\times A}{y}$

i.e z = $\frac{120}{8}$

∴ z = 15 cakes

So,The number of cake for order = z = 15 cakes

Hence,The number of cake for order is 15 cakes . Answer

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2 years ago