We read your photo as:

Evaluate the expression: (11.8 72 - 11.8 52) / (-18 + 6 / 3 * -3)

Mathematics

ScanSolve AI Answer

Answer

-11.8

Step-by-step solution

3 steps
  1. Evaluate the numerator.

    The numerator is 11.8×72−11.8×5211.8 \times 7^2 - 11.8 \times 5^2.
    Factor out 11.8:

    11.8×(72−52)11.8 \times (7^2 - 5^2)

    Calculate the squares:

    72=497^2 = 49 52=255^2 = 25

    Substitute these values back into the expression:

    11.8×(49−25)11.8 \times (49 - 25) 11.8×2411.8 \times 24

    To multiply 11.8×2411.8 \times 24:

    11.8×24=(10+1.8)×24=10×24+1.8×2411.8 \times 24 = (10 + 1.8) \times 24 = 10 \times 24 + 1.8 \times 24 =240+43.2= 240 + 43.2 =283.2= 283.2

    So, the numerator is 283.2.

  2. Evaluate the denominator.

    The denominator is −18+6÷3×−3-18 + 6 \div 3 \times -3.
    Follow the order of operations (PEMDAS/BODMAS):
    First, division:

    6÷3=26 \div 3 = 2

    Substitute this back:

    −18+2×−3-18 + 2 \times -3

    Next, multiplication:

    2×−3=−62 \times -3 = -6

    Substitute this back:

    −18+(−6)-18 + (-6) −18−6=−24-18 - 6 = -24

    So, the denominator is −24-24.

  3. Divide the numerator by the denominator.

    283.2−24\frac{283.2}{-24}

    Divide 283.2 by 24:

    283.2÷24=11.8283.2 \div 24 = 11.8

    Since the denominator is negative, the result is negative:

    283.2−24=−11.8\frac{283.2}{-24} = -11.8

    The evaluated expression is −11.8-11.8.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question