All categories

2 years ago

Solve 9(8 - x) = 3x.

Mathematics

1 answer:

bulgar [2K]2 years ago

7 0

Hello - let's do this step by step. Show your work.

You're asking: 9(8−x)=3x.

Now, simplify both sides of the equation.

9(8−x)=3x

(9)(8)+(9)(−x)=3x (To do that, distribute)

72+−9x=3x

−9x+72=3x

Now, subtract 3x from both sides.

−9x+72−3x=3x−3x

Simplify,

−12x+72=0

After, subtract 72 from both sides.

−12x+72−72=0−72

−12x=−72

Last thing, divide both sides by -12.

-12x/12 = -72/-12

Divide.

Therefore, you have <u>x = 6</u> as your final answer.

You might be interested in

a biker travel 5ft in .05seconds. At that same rate of speed , how far will the biker travel in 1minute?

Solnce55 [7]

Biker's rate is:

v = 5/0.5

v = 10 ft per sec

t = 1 min = 60 sec

d = the distance the biker travels in 1 minute

v = d/t

d = v*t

d = 10*60

d = 600 ft

The biker travels 600 feet in 1 minute

5 0

2 years ago

The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l

liq [111]

we know that

The formula of the surface area of the cone is equal to

$SA=\pi r^{2}+\pi rl$

where

SA is the surface area

r is the radius of the cone

l is the slant height

in this problem we have

$SA=500\pi\ ft^{2}\\r=15\ ft\\l=?$

Solve the formula for l

$SA=\pi r^{2}+\pi rl\\ \\\pi rl=SA-\pi r^{2} \\ \\l=\frac{SA-\pi r^{2} }{\pi r}$

substitute the values

$l=\frac{500\pi -\pi 15^{2} }{\pi15}\\ \\l=\frac{275}{15}\ ft\\ \\l=\frac{55}{3}\ ft\\ \\l=18\frac{1}{3}\ ft$

therefore

<u>the answer is</u>

The slant height is $18\frac{1}{3}\ ft$

7 0

3 years ago

Read 2 more answers

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.

7 0

2 years ago

Read 2 more answers

This is for 100 points which is rather rare so please help me out

Lelechka [254]

Answer:

C) $281.25

Step-by-step explanation:

3/15 describes you having to pay the bill in 15 days with a 3% discount.

3% = 0.03

289.95 - (298.95 x 0.03)

289.95 - 8.6985

281.25

8 0

2 years ago

What is the unit money rate per year?

Juliette [100K]

Answer:

Step-by-step explanation:

.012

7 0

3 years ago