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Nezavi [6.7K]
2 years ago
5

Use inverse operations to solve the equation. −4x = 52

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
5 0

Answer:

x=-13

Step-by-step explanation:

divide 52 by -4 to get x=-13

scZoUnD [109]2 years ago
4 0

Answer:

x = -13

Step-by-step explanation:

−4x = 52

Divide both sides by -4 to isolate the variable

-4x/-4 = 52/-4

x = - 13

Check:

Substitution

-4 (-13) = 52

52 = 52

* 2 negatives make a positive

Hope this helped!

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An 18 foot ladder touches a building 14 feet up the wall.
saw5 [17]
Check the picture below.

make sure your calculator is in Degree mode.

5 0
3 years ago
Read 2 more answers
A bicycle wheel has a radius of 13 inches.
mario62 [17]

Step-by-step explanation:

the circumference of a wheel is one revolution

so

formula: circumference=π*diameter

D=26cm (13*2 to find the whole length from one end to other)

so you'll do 3.14*26 equals 81.64

one revolution=81.64

30 revolutions=2,448.3 inches (times by 30 with 81.64)

3 0
3 years ago
Ava has a dozen apples of the same size and a dozen watermelons of the same size. Ava uses her juicer to extract 14 ounces of wa
ExtremeBDS [4]

Answer:

85.9%

Step-by-step explanation:

We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

11.9/84 = 0.141

I am doing this way because I could not get 84/11.9 into a percent without it going over 100%. Next step is to multiply by 100.

0.141 x 100 = 14.1%

Next, subtract 100% from 14.1%.

100% - 14.1% = 85.9%

Therefore, the answer is 85.9%.  I hope this helps.

I rethought this, so if it is asking for a percentage greater than 100, then here is my original answer (which did not make sense to me so i took a different route):

"We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

84/11.9 = 7.05

Multiply by 100:

7.05 x 100 = 705

Therefore, the answer is 705%. I have never seen a percentage over 100, but I hope this helps. "

3 0
2 years ago
Complete the solution of the equation. Find the<br> value of y when x equals 24.<br> -2x + 2y = -56
bixtya [17]

Answer:

<h2>For x = 24, y = -4.</h2>

Step-by-step explanation:

Put\ x=24\ to\ the\ equation\ -2x+2y=-56,\ and\ solve\ it\ for\ y:\\\\-2(24)+2y=-56\\\\-48+2y=-56\qquad\text{add 48 to both sides}\\\\-48+48+2y=-56+48\\\\2y=-8\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{-8}{2}\\\\y=-4

5 0
3 years ago
The circumference of a circle is 314 units. What is the area?
german

Answer:

7850 square units

Step-by-step explanation:

According to the question;

  • Circumference of a circle is 314 units;

We are required to find the area of the circle;

  • First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

              = 100 units

But, radius = Diameter ÷ 2

                  = 100 units ÷ 2

                  = 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

                   = 7850 square units

Thus, the area of the circle is 7850 square units

4 0
3 years ago
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