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Sholpan [36]
3 years ago
14

-4(x - 2) - 3x = 2(5x - 7) + 6

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

c(a-b)=ca-cb

Then, applying this, you get:

-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6

Combine like terms means that you need to add the like terms.

Therefore, you get:

-7x+8=10x-8

You can observe that the expression obtained matches with the expression provided in the last option.

You might be interested in
Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in
Readme [11.4K]

Answer:

\huge\boxed{7\  \text{inches}}

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

Hope this helped!

3 0
3 years ago
the utility industry has 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f
Aleksandr-060686 [28]

Answer: 7%

Step-by-step explanation:

Given: Initial jobs = 428.5 thousand

Average rate of declining of jobs  from 2010 to 2020 =  3 thousand jobs per year

From 2010 to 2020 , there are 10 years.

Total jobs declines till 2020 = 10 x (3 thousand)

= 30 thousand  (Change in jobs)

Now, utilities percent change for 2010 to 2020​ : \dfrac{change \  in \  job\  numbers}{Initial\ jobs}\times 100

=\dfrac{30}{428.5}\times100\\\\\approx7.00\%

Utilities percent change for 2010 to 2020 = 7 %

7 0
3 years ago
Idk the answer can u help me
valentinak56 [21]

The answer is C) 67

Angle FGE is a right angle so it is 90 degrees and angle AGF is the same as CGD so it is 23 degrees.

Add angle FGE and angle AGF together (90 + 23 = 113) and subtract that by 180 (180 - 113 = 67)

3 0
3 years ago
Which of Catherine following expressions is equivalent to 8•8•8•8•8•8
yawa3891 [41]

Answer:

8 to the six power

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true
marta [7]

Answer:

a = 3

Step-by-step explanation:

Since x = 7 is a solution, substitute x = 7 into the equation and solve for a

4(7) - 2(7 + a) = 8 , that is

28 - 2(7 + a) = 8 ( subtract 28 from both sides )

- 2(7 + a) = - 20 ( divide both sides by - 2 )

7 + a = 10 ( subtract 7 from both sides )

a = 3

8 0
2 years ago
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