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3 years ago

27. If three more than one-fourth of a number is

Mathematics

1 answer:

ololo11 [35]3 years ago

8 0

Answer:

Step-by-step explanation:

let the number be n , then

$\frac{1}{4}$ n + 3 = n - 3 ( multiply through by 4 to clear the fraction )

n + 12 = 4n - 12 ( subtract 4n from both sides )

- 3n + 12 = - 12 ( subtract 12 from both sides )

- 3n = - 24 ( divide both sides by - 3 )

n = 8

That is the number is 8

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Write the equation it passes through (0,-2) and is perpendicular to the graph of y=5x+7

romanna [79]

Step-by-step explanation:

the line passes through (0,-2) and perpendicular to the graph of y=5x+7.

solution :

the slope = -1/5

the equation :

y+2 = -1/5 (x-0)

y = -1/5x - 2

6 0

3 years ago

A rectangle has the

SVEN [57.7K]

Answer:

15.5 inches

Step-by-step explanation:

Length of rectangle = 22 inches
Perimeter = 75 inches

To calculate : Width of the rectangle.

★ Perimeter of rectangle = 2( l + w )

→ 75 = 2(22 + w)

→ 75 = 44 + 2w

→ 75 – 44 = 2w

→ 31 = 2w

→ 31 ÷ 2 = w

→ 15.5 inches = Width

Therefore, width of the rectangle is 15.5 inches.

6 0

3 years ago

Kerry and Tya are sharing a pack of stickers. Each girl gets 11 stickers. Write and solve a division equation to find how many t

Shalnov [3]

Since each girl gets 11 sticker that means that there are 22 stickers in the pack.

11x2=22

4 0

3 years ago

Which of the following represents the correct inequality statements

m_a_m_a [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

Please help me with this

horrorfan [7]

Answer:

$\dfrac{4000\pi}{3}$ ft³

Step-by-step explanation:

First, let's figure out how to get the volume of a sphere from its surface area. If r is the radius of our sphere, then

The formula for a sphere's surface area is $A = 4\pi r^2$

The formula for a sphere's volume is $V=\frac{4}{3}\pi r^3$

So to get from area to volume, we have to divide the area by 3 and then multiply it by r. Mathematically:

$V=\frac{A}{3}r$

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area - $400\pi$ ft² - so we can use the area formula to find that radius:

$A=4\pi r^2=400\pi\\r^2=100\\r=10$

And now that we have our radius, we can put it into our volume formula to find

$V=\frac{A}{3} r=\frac{400\pi}{3}(10)=\frac{4000\pi}{3}$ ft³

4 0

3 years ago