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user100 [1]
3 years ago
5

What is the simplified expression for the expression below? -1/5(5x+20)-1/4(4x-28)

Mathematics
2 answers:
e-lub [12.9K]3 years ago
7 0

You need to distribute the numerical factors for each term in the parenthesis:

\dfrac{-1}{5}(5x+20)-\dfrac{1}{4}(4x-28) = \dfrac{-1}{5}\cdot 5x + \dfrac{-1}{5}\cdot 20 + \dfrac{-1}{4} \cdot 4x + \dfrac{-1}{4} \cdot (-28)

This equals

-x-4-x+7 = -2x+3

WITCHER [35]3 years ago
5 0

Answer:

-2x+3

Step-by-step explanation:

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6 0
3 years ago
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Please help explain how to solve problem 16?
Anarel [89]
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
                               x = -1/4

place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
4 0
3 years ago
151 241<br> 12 12<br> 102<br> 101<br> 35<br> Perimeter<br> ?<br> Simplify your answer completely
Nataliya [291]

9514 1404 393

Answer:

  119 4/7

Step-by-step explanation:

The perimeter is the sum of side lengths.

  10 1/7 + 12 2/7 + 15 3/14 + 24 1/14 + 12 2/7 + 10 1/7 + 35 3/7

  = (10 + 12 + 15 + 24 + 12 + 10 + 35) + (1 + 2 + 2 + 1 + 3)/7 + (3 + 1)/14

  = 118 + 9/7 + 4/14

  = 118 + 1 2/7 + 2/7

  = 119 4/7 . . . . perimeter of the figure

8 0
3 years ago
Please someone helpppp ):
skad [1K]

Answer:

  70 -20x = 60 -15x

Step-by-step explanation:

The amount of money left on Josh's card is ...

  70 -20x

The amount of money left on Jessica's card is ...

  60 -15x

These amounts are the same when ...

  70 -20x = 60 -15x

_____

<em>Additional comment</em>

The solution to this equation is ...

  10 = 5x   ⇒   x = 2 . . same amount after purchase of 2 pizzas

3 0
3 years ago
In a coordinate plane what is the difference between (-3 1/2, 4) and (2 1/2)?​
Gala2k [10]

Answer:

?

Step-by-step explanation:

By difference I think you mean how far away from? I don't really know what you mean by this but I will try to help.

1/2-4=-3 1/2

2-(-3 1/2)=5 1/2

<u>-3 1/2</u>

5 1/2

Above is a fraction.

I hope that I helped. Sorry if it wasn't the answer you were looking for.

4 0
3 years ago
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