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Elena-2011 [213]
2 years ago
10

Apply the distributive property to factor out the greatest common factor.8x−20=

Mathematics
1 answer:
RideAnS [48]2 years ago
3 0
4(2x-5)
the answer to the question
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What is the solution to the system of equations?
sukhopar [10]

Answer:

(x, y) = (-3, -6)

Step-by-step explanation:

The second equation can be used to write an expression for y:

... -5x -21 = y . . . . . . . add y-21 to both sides

This expression can be substituted for y in the first equation:

... 6 = -4x +(-5x -21)

... 27 = -9x . . . . . add 21, collect terms

... -3 = x . . . . . . . divide by -9

Using this value of x in the expression for y, we find ...

... -5(-3) -21 = y = -6

The solution is x = -3, y = -6.

8 0
3 years ago
The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four
Ugo [173]

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

<em>Side 1 = x</em>

One side of the triangle is one foot longer than the second side

<em>Side 2 = x - 1</em>

<em>The third side is four feet longer than the second side</em>

<em>Side 3 = (x - 1) + 4</em>

<em />

<em>Perimeter = sum of all sides</em>

<em>47 = x + (x - 1) + (x - 1) + 4</em>

<em>47 = x + x - 1 + x - 1 + 4</em>

<em>47 = 3x + 2</em>

<em>47 - 2 = 3x</em>

45 = 3x

<u>x = 15</u>

substitute for x in each of the sides

<em>Side 1 = x                   => </em><em>15 feet</em>

<em>Side 2 = x - 1              => 15 - 1 = </em><em>14 feet</em>

<em>Side 3 = (x - 1) + 4      => 14 + 4 = </em><em>18 feet</em>

6 0
3 years ago
Read 2 more answers
What is the value of x? 6.75+3/8x=13 1/4
zysi [14]
Your answer is x=17 1/3
4 0
3 years ago
Read 2 more answers
Which of the following best describes the nitrogen fixation process?(1 point) Consumers convert nitrogen gas into ammonia, nitri
nordsb [41]

Answer:

Soil bacteria convert nitrogen gas into ammonia, nitrites, and then nitrates. Nitrates are then absorbed by producers.

Step-by-step explanation:

.

7 0
2 years ago
Jennifer is ordering cake for her wedding reception. If one cake feed 18 people, how many cakes does she need to order for 150 p
ehidna [41]

Answer:

8 1/3 cakes

Step-by-step explanation:

Step 1:

1 : 18        Ratio

Step 2:

1 : 18 = x : 150       Proportion

Step 3:

150 = 18x       Multiply

Step 4:

150 ÷ 18 = x     Divide

Answer:

x = 8 1/3  

Hope This Helps :)

8 0
3 years ago
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