Asked by Misti Graham on May 12, 2024

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Evaluate 16−4(1−0.3÷435650) 16-4\left(1-0.3 \div \frac{435}{650}\right) 164(10.3÷650435) =

A) 6.621
B) 17.379
C) 13.793
D) 10.207
E) 12.803

Order Of Operations

The rules determining the sequence in which operations (addition, subtraction, multiplication, and division) should be carried out in a mathematical expression.

  • Deliver fundamental mathematical activities and conversions pertaining to decimals, fractions, and percentages.
  • Apply the principles of basic algebra to solve finance-related problems.
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HO
Hannah OberlanderMay 13, 2024
Final Answer :
C
Explanation :
First, simplify the fraction: 0.3÷435650=0.3÷23=0.450.3 \div \frac{435}{650} = 0.3 \div \frac{2}{3} = 0.450.3÷650435=0.3÷32=0.45 . Then, calculate inside the parentheses: 1−0.45=0.551 - 0.45 = 0.5510.45=0.55 . Multiply by 4: 4×0.55=2.24 \times 0.55 = 2.24×0.55=2.2 . Finally, subtract from 16: 16−2.2=13.816 - 2.2 = 13.8162.2=13.8 , which rounds to 13.793 when considering more decimal places in intermediate steps.