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gogolik [260]
3 years ago
9

-8(x + 1) + 3(x - 2) = -3x + 2?

Mathematics
1 answer:
alexira [117]3 years ago
8 0
First you need to distribute the -8
So you would get -8x-8 now distribute the 3 so it would be 3x-6
-8x-8+3x-6=-3+2 is how it should look
Now combine the -8x and 3x cause their like terms and also -8 and -6
-5x-14=-3x+2 now add -3 to both sides
-2x-14=2 and add 14 to both sides
-2x=12 all left to do is divide both by -2
X=-6
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3 over 20 as a percent
zhenek [66]
Well a percentage is basically a decimal. If we take the 20 and times it by 5,we can get a 100th of a decimal, 15/100= 0.15. Now we just change it to a percentage! 15%
8 0
3 years ago
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Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour. In both cases, she must al
scZoUnD [109]

Given :

Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour.

In both cases, she must also rent a helmet for $5 an hour.

To Find :

Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike.

Solution :

Let, after t hours total money required is ( if she rent bike ).

T = 30t.

Money required to purchase bike , M = $250.

For cost of buying a bike to be less than renting a bike :

30t>250\\\\t > \dfrac{25}{3}\ hours\\\\t>8\dfrac{1}{3}\ hours\\\\t>8\ hours \ 20 \ minutes

Hence, this is the required solution.

5 0
3 years ago
The edge length of cube A is two times the edge length of cube B. How many times greater isthe volume of the cube A than the vol
allsm [11]

Answer:

<h2>8 times greater</h2>

Step-by-step explanation:

The formula of a volume of a cube:

V=a^3

a - edge length

-----------------------------------

The edge length of cube B is a.

The edge length of cube A is 2a.

Calculate the volumes:

V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

\dfrac{V_A}{V_B}=\dfrac{8a^3}{a^3}=8

4 0
2 years ago
What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?
mars1129 [50]
The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
S_{n}=\frac{a_{1}(1-r^{n})}{1-r}
a1=1
r=2
we want to find S_{10} (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

S_{10}=\frac{1(1-2^{10})}{1-2}
S_{10}=\frac{(1-1024}{-1}
S_{10}=\frac{(-1023}{-1}
S_{10}=1023

3 0
2 years ago
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10x + 1 = 2(3× + 5) - 1
MArishka [77]

Answer:

x = 2

Step-by-step explanation:

10x + 1 = 2(3x + 5) - 1

  1. mutlipy the 2 to the 3x and the 5
  2. you should get 10x + 1 = 6x + 10 - 1
  3. now you have to add the combine terms
  4. so it will now be 10x + 1 = 6x + 9
  5. now you.have to get the x's on one side and the constants (numbers alone) on the other side
  6. so you can subtract the 6x on both sides
  7. once you do that you wil get 4x + 1 = 9
  8. After you get this equation you will have to subtract the one from both sides.
  9. you will get 4x = 8
  10. All you have to do it divide 4 on both sides. Your final answer is x = 2.
7 0
3 years ago
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