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VashaNatasha [74]
2 years ago
6

Which expressions are equivalent to (1/3x - 4x - 5/3x) - (-1/3x -3)?

Mathematics
1 answer:
Leno4ka [110]2 years ago
3 0

Answer:

-5x + 3

Step-by-step explanation:

1/3 x - 4x -5/3x + 1/3 x +3

2/3 x -4 -5/3x + 3

3/3x -4x +3

-1 1x -4x + 3

- 5x + 3

:)

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Rewrite the formula to find the radius of a sphere. The volume (V) of a sphere is given by the formula V=4/3 pi r^3
Paladinen [302]

Answer:

see explanation

Step-by-step explanation:

Given

V = \frac{4}{3}πr³

Multiply both sides by 3 to clear the fraction

3V = 4πr³ ( divide both sides by 4π )

\frac{3V}{4\pi }  = r³ ( take the cube root of both sides )

r = \sqrt[3]{\frac{3V}{4\pi } }

6 0
3 years ago
A student government organization is selling Christmas trees as a fundraiser. On Friday, they sold 5 noble fir trees and 3 dougl
Lana71 [14]

5 noble fir and 3 douglas fir = $ 420

12 noble fir and 9 douglas fir = $ 1080

Let noble fir be n,  and douglas fir be d.

5n + 3d = 420               ..............(i)

12n + 9d = 1080           ...............(ii)

Multiply equation (i)  by 3.

3*(5n + 3d) = 3*(420)

15n + 9d = 1260        .............(iii)

Equation (ii)  minus (iii)

(12n + 9d) - (15n + 9d) =  1080 - 1260

12n - 15n  + 9d - 9d = -180

-3n = -180

n = -180/-3 = 60

Substitute the value of n in (i)    5n + 3d = 420 

5*(60) + 3d = 420

300 + 3d  = 420
 
3d =  420 - 300 = 120

3d = 120

d = 120/3 = 40

Therefore Noble fir tree cost $60 while Douglas fir tree cost $40
5 0
3 years ago
Six friends create a website. The website earns money by selling banner ads. The site has 5 banner ads. It costs $120 a month to
Naddik [55]

Answer:

A.) y = 0.005x - 120

B.) You need more than 24,000 clicks to make a profit, or at least 24001 clicks.

Step-by-step explanation:

A.)

1. We know that the amount of money for each click is $0.005, which means that that's the amount of money you need to multiply by the number of clicks (or x) to find the amount of money you're making from the ads.

2. We also know that the cost to keep the website up is 120$, which is a loss of 120 dollars. To find the total profit in a month, you have to subtract whatever the profit from ads was by 120.

3. Since the amount from ads is 0.005 * x minus the cost of the website to be up, 120, the equation for the profit (or y) would be y = 0.005x-120

B.)

Next up is graphing it:

Geometry Way:

1. You can use any online graphing program, or hand graph it (I'll link one that I use in the comments--- Desmos).

2. Graph the equation.

3. Find the value in which that the profit would be 0. Anything more than that would be all of the values in which y is not 0 or negative.

Algebra Way:

1. Plug in 0 for y, or the profit.

2. Simplify. You'll find that when the profit is 0, the amount of clicks would be 24,000. Anything more than that would be positive.

Hope this helped!

7 0
2 years ago
Factor completely <br><br> 81x^2-27x-18
Musya8 [376]
Find the greatest common factor which is 9 
9(9x^2-3x-2) and then factor the equation in the parenthesis 
so the factored equation will be  9(3x+1)(3x-2)
4 0
3 years ago
I need help quick I do K12 and this doesn’t make sense to me AT ALL
AleksandrR [38]

Answer:

Step-by-step explanation:

mean

I think.

3 0
2 years ago
Read 2 more answers
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