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Debora [2.8K]
2 years ago
13

What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) tru

Mathematics
2 answers:
Aloiza [94]2 years ago
8 0

Answer: 1/10 or 0.1

Step-by-step explanation:

    -(-7 - 4x) = -2(3x - 4)

      7 + 4x = -6x + 8

   * subtract 7 from both sides

            4x = -6x + 1

   * Add 6x to both sides

           10 x = 1

   * Divide both sides by 10

             x = 1/10  or 0.10

Ierofanga [76]2 years ago
8 0
Well, you’re going to start by simplifying each side of the equation.

This step makes sure that you know to distribute the negative.

-5x + [-(-7-4x)] = -2(3x-4)

Continue to simplify. Start by distributing across the parentheses.

-5x+(7+4x)= -6x+8
-5x+4x+7= -6x+8
-x+7=-6x+8

Once you can’t simplify either side any more, you try and isolate the variable onto one side.

-x+7=-6x+8
+x. +x
________
7=-5x+8

Then isolate the constants into one side.

7=-5x+8
-8. -8
______
-1=-5x

Then make sure you have the variable being multiplied only once.

-1= -5x
—. —
-5. -5

0.2=x

And then move your variable to the left.

x=0.2

The value of x that makes the equation true is 0.2


I hope that helps!!







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14. It costs a pool cover manufacturer $0.15 per square foot for the material they use to make pool covers. If a certain circula
laila [671]

Answer:

$2.83

Step-by-step explanation:

Diameter of the pool = 24ft

Cost of 1 ft² = $0.15

Area of the pool=?

But the pool is a circular pool,

Area of a circle = Πr² or πd²/4

π = 3.142

Area of the pool = (π * 24) / 4

Area = (3.142 * 24) / 4

Area = 18.85ft²

If 1ft² = $0.15

18.85 = $x

x = (18.85 * 0.15) / 1

x = $2.8275 = $2.83

The cost of the pool is $2.83

6 0
3 years ago
Two angles are vertical angles. One angle is ( 8x + 15 ) and the other angle is 143. Solve for x.
sineoko [7]

Answer:

x = 16

Step-by-step explanation:

Verticle angles are always congruent, so:

(8x + 15) = 143

Now, we can solve to isolate x:

8x + 15 - 15 = 143 - 15  (subtract 15 from both sides)

8x/8 = 128/8                (divide both sides by 8)

x = 16

You can always plug in the value of x to the original equation to check your answer:

8(16) + 15 = 143

5 0
2 years ago
You are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween. Each gumball ha
riadik2000 [5.3K]

According to the calculations made, 410 gumballs will be needed to fill the box.

Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:

  • (Volume of box x 5/8) / volume of gumballs = Amount of gumballs  
  • Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius)  
  • Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches  
  • ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X
  • (343.1 x 5/8) / 0.523 = X
  • 214.4375 / 0.523 = X
  • 410 = X

Therefore, 410 gumballs will be needed to fill the box.

Learn more in brainly.com/question/1578538

4 0
2 years ago
9. By how much does the sum of the roots of
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The answer is C i hope this helps
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The scatterplot shows the number of guests who visited a hotel pool and the temperature on those days. Estimate the location of
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Answer:

Step-by-step explanation:

I need help my self‍♀️

8 1
3 years ago
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