Answered

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Evaluate the following expression:

[tex]\[ \frac{5 + 8 \times (3 + 2)}{9} - 1 \][/tex]

A. 5
B. 4
C. 10
D. 7

Sagot :

GinnyAnswer
Sure, let's evaluate the given mathematical expression step-by-step.

The expression is:
[tex]\[ \frac{[5 + 8 \times (3 + 2)]}{9} - 1 \][/tex]

Step 1: Simplify inside the parentheses.
[tex]\[ 3 + 2 = 5 \][/tex]

Step 2: Substitute this result back into the expression.
[tex]\[ \frac{[5 + 8 \times 5]}{9} - 1 \][/tex]

Step 3: Perform the multiplication inside the brackets.
[tex]\[ 8 \times 5 = 40 \][/tex]

Step 4: Substitute this result back into the expression.
[tex]\[ \frac{[5 + 40]}{9} - 1 \][/tex]

Step 5: Add the numbers inside the brackets.
[tex]\[ 5 + 40 = 45 \][/tex]

Step 6: Substitute this result back into the expression.
[tex]\[ \frac{45}{9} - 1 \][/tex]

Step 7: Perform the division.
[tex]\[ 45 \div 9 = 5 \][/tex]

Step 8: Complete the final subtraction.
[tex]\[ 5 - 1 = 4 \][/tex]

So, the value of the expression is [tex]\( 4 \)[/tex].

Therefore, the correct answer is:
b.) 4
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