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Gnom [1K]
3 years ago
5

Simplify the following expression. 5(x + y) + 3(x - y)

Mathematics
1 answer:
vaieri [72.5K]3 years ago
4 0
It could also be written as 
5x+5y+3x-3y when you merge the factors 
from here you could add like terms
5x+3x+5y-3y 
8x+2y would be your final answer since x and y aren't like terms therefore it cannot be reduced further 
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HELP I NEED HELP ASAP
Paladinen [302]
<h2>            <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>

The perimeter of a rectangle is given by:

\boxed{\bold{Perimeter = 2 (length + width)}}

In the problem we have these data:

  • Length = a
  • Width = -2x + 20
  • Perimeter = 6 + 2 (-2x + 20)

We replace the data in the equation of the perimeter:

<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>

We apply distributive property:

6 - 4x + 40 = 2a - 4x + 40

6 = 2a

6 ÷ 2 = a

3 = a

⇒ Length = 3

The area of ​​the rectangle is given by:

\boxed{\bold{Area = 2 (length + width)}}

We have these data:

  • Length = 3
  • Width = -2x + 20

We replace the data in the equation of the area:

<h3>Area = (3) (- 2x + 20) </h3>

We apply the distributive property and obtain:

Area = -6x + 60

<u>The expression representing the area of ​​the rectangle will be -6x + 60</u>

<h3>I hope I've helped!</h3>
8 0
3 years ago
Solve the proportion<br> 16/50 = x/156.25
yuradex [85]
The answer for this proportion is 50.
156.25 times 16 =2,500
2,500 divided by 50=50
X=50
4 0
3 years ago
Read 2 more answers
Please answer the problem below
8_murik_8 [283]

Answer:

d) m<ADC=44°

Step-by-step explanation:

7x-19=9x-37

-19+37=9x-7

18=2x

x=9

m<ADC=9x-37=9(9)-37=81-37=44

8 0
3 years ago
Read 2 more answers
Select all the statements about the situation that are true. Elena makes more money for making 10 calls than Diego makes for was
steposvetlana [31]

Answer:

B, C, E

Step-by-step explanation:

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Select all the statements about the situation that are true.

A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

Elena:

$1 = 1 call

$10 = 10 calls

Diego:

27 windows = $30

10 windows = $x

Cross product

27*x = 30*10

27x = 300

x = 300/27

x = $11.11

Statement A not true

B. Diego makes more money for washing each window than Elena makes for making each call.

Diego:

10 windows = $11.11

Each window = $11.11/10

= $1.11

Statement B is true

C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows

Elena:

20 calls = $20

Diego:

18 windows = 18 × $1.11

= $19.98

Approximately $20 to the nearest whole dollar

Statement C is true

D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.

Diego

35 × $1.11 = $38.85

Approximately $39

Elena:

40 calls = $40

Statement D is not true

E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

Statement E is true

7 0
2 years ago
What's 1 and 2/3 times 1 and 1/3?
kari74 [83]
<span>1 and 2/3 time 1 and 1/3 is 2.22222222222 which rounds to 2.</span>
6 0
3 years ago
Read 2 more answers
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