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Mice21 [21]
2 years ago
12

What is the value of -2(8-(-2)) -8(17-12) ? 1 ) -2 02 O4

Mathematics
1 answer:
guajiro [1.7K]2 years ago
5 0

Answer:

C. 2

Step-by-step explanation:

\frac{-8(17-12)}{-2(8-(-2))}

Subtract inside the parenthesis inside the numerator.

\frac{-8(5)}{-2(8-(-2))}

Multiply -8 and 5 in the numerator.

\frac{-40}{-2(8-(-2))}

Rewrite the denominator knowing that x - (-y) = x + y.

\frac{-40}{-2(8+2)}

Add inside the parenthesis in the denominator.

\frac{-40}{-2(10)}

Multiply -2 and 10 in the denominator.

\frac{-40}{-20}

Rewrite the fraction knowing that (-x)/(-y) = x/y.

\frac{40}{20}

Divide 40 by 20 to get: 2.

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Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
-3(u+2)=5u-1+5(2u+1)
Mazyrski [523]

Answer:

u = -5/9

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

-3(u + 2) = 5u - 1 + 5(2u + 1)

<u>Step 2: Solve for </u><em><u>u</u></em>

  1. Distribute:                             -3u - 6 = 5u - 1 + 10u + 5
  2. Combine like terms:             -3u - 6 = 15u + 4
  3. Add 3u to both sides:          -6 = 18u + 4
  4. Subtract 4 on both sides:    -10 = 18u
  5. Divide 18 on both sides:      -10/18 = u
  6. Simplify:                                -5/9 = u
  7. Rewrite:                                 u = -5/9

<u>Step 3: Check</u>

<em>Plug in u into the original equation to verify it's a solution.</em>

  1. Substitute in <em>u</em>:                     -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
  2. Multiply:                                -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
  3. Add:                                      -3(13/9) = -25/9 - 1 + 5(-1/9)
  4. Multiply:                                -13/3 = -25/9 - 1 - 5/9
  5. Subtract:                               -13/3 = -34/9 - 5/9
  6. Subtract:                               -13/3 = -13/3

Here we see that -13/3 does indeed equal -13/3.

∴ u = -5/9 is a solution of the equation.

3 0
3 years ago
Read 2 more answers
Question 1: find the volume of a cube whose total surface area is 486cm^2
lapo4ka [179]
<h3>The volume of cube is 729 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

Surface\ area = 6a^2

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9

<u><em>Find the volume of cube:</em></u>

volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729

Thus volume of cube is 729 cubic centimeter

8 0
3 years ago
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