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2 years ago

Simplify 4(х + 7) - 7х + 2. А. 11х + 9 В. 11х + 30 с. -3х + 9 D. -3х + 30

Mathematics

1 answer:

BartSMP [9]2 years ago

7 0

Answer:

-3x+30

Step-by-step explanation:

$4\left(x+7\right)-7x+2$

Expand $4(x+7)= 4x+28$

$4x+28-7x+2$

Simplify $4x+28-7x+2$

$-3x+30$

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rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden

Ray Of Light [21]

It is given that the area of the circular garden = 100 $ft^2$

Area of circle with radius 'r' = $\pi r^2$

We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.

Since, area of circular garden = 100

$\pi r^2 = 100$

$\frac{22}{7} \times r^2 = 100$

$r^2 = \frac{700}{22}$

$r^2 = 31.8$

$r = \sqrt{31.8}$

So, r = 5.6 ft

r = 6 ft (approximately)

Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.

So, Option A is the correct answer.

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2 years ago

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What is y=-3x written in standard form

nataly862011 [7]

This would be 3x + y = 0.

I hope this helps!

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2 years ago

a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo

uranmaximum [27]

Answer:

Part a) The equation for the volume of the film canister is

$32\pi=\pi r^{2}(8)$

Part b) The radius of the film canister is $2\ cm$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the circular base

h is the height of the cylinder

we have

$V=32\pi\ cm^3$

$h=8\ cm$

substitute

$32\pi=\pi r^{2}(8)$ ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

$32\pi=\pi r^{2}(8)$

$32\pi=8\pi r^{2}$

Simplify

Divide by 8π both sides

$4=r^{2}$

square root both sides

$r=2\ cm$

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2 years ago

Given: If X, then Y. If Y, then Z. Y is true. So:

8_murik_8 [283]

Answer:

The answer is "X is unknown, Z is true".

Step-by-step explanation:

In the given question option is missing so, the correct answer to this question can be defined as follows:

In this question if X is given, then y means depends upon X.
If y is given, then z depends on y, that's why in this question Y and Z are true. but X is unknown.

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2 years ago

4 times what equals 36

Svetllana [295]

4 x 9 = 36. Plug it back in to see if it is true: 36 / 9 = 4.

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