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Elden [556K]
3 years ago
11

-5x + 12 - 7x = -3(5x + 8)

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Simplify -5x + 12 - 7x to -12x + 12

-12x + 12 = -3(5x + 8)

Expand

-12x + 12 = -15x - 24

Add 15x to both sides

-12x + 12 + 15x = -24

Simplify 12x + 12 + 15x to 3x + 12

3x + 12 = -24

Subtract 12 from both sides

3x = -24 - 12

Simplify -24 - 12 to -36

3x = -36

Divide both sides by 3

x = -36/3

Simplify 36/3 to 12

<u>x = -12</u>

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Slice each system of linear equations by multiplying <br> 3x+3y=12 <br> 6x+11y=14
GalinKa [24]

Answer:

  (x, y) = (6, -2)

Step-by-step explanation:

Sometimes this solution method is called "addition" or "elimination." You want to multiply one or both equations by a value or values that make the coefficients of one of the variables be opposites. Then when you add the equations, the result is an equation without that variable. (One variable has been eliminated.)

Multiply the first equation by -2 to make its x-coefficient the opposite of that in the second equation. Then add the two equations:

  -2(3x +3y) = -2(12)

  -6x -6y = -24

Add the second equation ...

  (-6x -6y) +(6x +11y) = (-24) +(14)

  5y = -10 . . . . . simplify

  y = -2 . . . . . . . divide by 5

__

  3x +3(-2) = 12 . . . . . substitute into the first equation

  3x = 18 . . . . . . . . . . add 6

  x = 6 . . . . . . . . . . . . divide by 3

The solution is (x, y) = (6, -2).

6 0
3 years ago
Thanks to its environmental initiatives, Lexington has cut its annual CO2 emissions by 10%. This year, the town produced 280,000
s2008m [1.1K]

Answer:

Step-by-step explanation:

Rate = 10%

Time = 2 years

Initial CO2 = 280000 metric ton

1st year

10% × 280000

= 28000 metric ton.

2nd year

10% × (280000 - 28000)

= 25200 metric ton.

Metric ton of CO2 produced at the end of the 2nd year = 252000 - 25200

= 226800 metric ton of CO2.

3 0
3 years ago
Find the area of the regular polygon. Round to the nearest tenth. Please &amp; Thank You!
Lelechka [254]

A=259.8 cm^2 is the correct answer

5 0
3 years ago
Martens got a small aquarium forgot her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martens pu
sp2606 [1]

Answer:

Depth of Martens aquarium water = 14 cm.

Step-by-step explanation:

Given:

An aquarium,which is a right rectangular prism.

Length of the aquarium, l = 18.5 cm

Width of the aquarium, b = 15 cm

Volume of the aquarium, V = 3885 cm cubes

We have to find the depth of the aquarium.

Let the depth be h cm.

Note:

Volume of the rectangular prism,V=lbh.

⇒ V = l\times b\times h

⇒ h=\frac{V}{l\times b}

⇒ Plugging the values.

⇒ h=\frac{3885\ cm^3}{18.5\ cm\times 15\ cm}

⇒ h=14 cm

So,

The depth of the aquarium water is 14 cm.

4 0
4 years ago
Which is the graph of f (x) = 3 (two-thirds)^x?
DanielleElmas [232]

Answer:

last option lol

Step-by-step explanation:

please just use a graphing calculator

6 0
3 years ago
Read 2 more answers
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