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ra1l [238]
2 years ago
12

2) Evaluate the given numerical expression. A) 9 B) 12 C) 14 D) 21

Mathematics
1 answer:
eduard2 years ago
8 0

Answer:

  • \boxed{\sf{14}}

Step-by-step explanation:

\boxed{\underline{\text{ORDER OF OPERATIONS:}}}

Use the order of operations.

Note: PEMDAS or BODMAS stands for:

<u>PEMDAS</u>

  • <u>Parentheses</u>
  • <u>Exponents</u>
  • <u>Multiply</u>
  • <u>Divide</u>
  • <u>Add</u>
  • <u>Subtract</u>

<u>BODMAS</u>

  • <u>Brackets</u>
  • <u>Order</u>
  • <u>Divide</u>
  • <u>Add</u>
  • <u>Subtract</u>

<u>First, do parentheses.</u>

3+6*(5+4)÷3-7

(5+4)=9

\Longrightarrow: \sf{3+6* 9\div 3-7}

<u>Do multiply and divide.</u>

6*9=54

54/3=18

<u>Then, rewrite the problem down.</u>

\Longrightarrow: \sf{3+18-7}

<u>Add.</u>

\sf{3+18=21}

\sf{21-7=\boxed{\sf{14}}

\Longrightarrow: \boxed{\sf{14}}

  • <u>Therefore, the correct answer is "C. 14".</u>

I hope this helps, let me know if you have any questions.

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rusak2 [61]

Answer:

1). 183

2). 83

3). 353

4). -2652

5). 59

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7). -293

8). 79

9). 78

10). 87

Step-by-step explanation:

Considering order of operation, parenthesis must be simplified first.

The solutions to the given questions are shown below;

1). \ \ 5+(7\times (3+2)^2) + 3=8 +  (7\times (5)^2)  = 8 + (7\times 25) = 8 + 175 = 183

2). \ 16+(8+ (6+2)^2) - 5=16-5 +  (8+ (8)^2)  = 11 + (8+64) = 11 + 72 = 83

3). \ (15+ 3)^2 + ((14+6)+3^2)= (18)^2 + ((20) + 9) = 324 + (29) = 353

4). \ ((11+ 2)-(24+2)^2)\times 2^2 = (13 - 676) \times 4  = (-663)\times 4 = -2652

5). \ ((4+3)^2+ 6) -5+3^2= (49 + 6) - 5 + 9= (49+6+9) - 5 = 64-5 = 59

6). \ (20+ 2)^2 +((15+7)+2^2)= (484) + (22+ 4)= 484 + 26 =510

7). \ ((12 + 4)- (15+3)^2+ 5^2 = (16 -  324) + 25 = -318 + 25 = -293

8). \ (6^2+ (24+ 3+5^2)) - 3^2= (36 + (52)) - 9 = (88) - 9 = 79

9). \ ((10-4)^2\times 2) + 2 + 2^2= ((6)^2 \times 2) + 2 + 4 = (36\times 2)+ 6 = 72 + 6 = 78

10). \ (7^2 + (16 + 8 + 2^2)) + 3^2 = (49 + 28) + 9 = 78 + 9 = 87

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-----------------------------------------------
-----------------------------------------------

Angle C and angle D are complementary, which means they add to 90 degrees. 

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