Respuesta :

What is the value of a^2 + 3b ÷ c - 2d when a = 3, b = 8, c = 2, and d = 5

a. 8

b. 12

c. 10

d. 11

Answer:

Option D

The value of a^2 + 3b ÷ c - 2d when a = 3, b = 8, c = 2, and d = 5  is 11

Solution:

Given that expression is a^2 + 3b ÷ c - 2d

We can use BODMAS rule to solve this expression

BODMAS means brackets, order, division, multiplication, addition and subtraction

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.

Substitute a = 3, b = 8, c = 2, and d = 5

[tex]a^2 + 3b \div c - 2d = 3^2 + 3(8) \div 2 -10[/tex]

Let us first solve the terms in brackets as per BODMAS rule

[tex]9 + 24 \div 2 -10[/tex]

Now perform division as per BODMAS

[tex]9 + 12 -10[/tex]

Now peform addition operation

[tex]21 - 10[/tex]

Now peform subtraction operation

21 -10 = 11

Thus the value of a^2 + 3b ÷ c - 2d when a = 3, b = 8, c = 2, and d = 5  is 11

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