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Evaluate the expression [tex]$9+(21-6) \div 3$[/tex]. Show your work.

Sagot :

GinnyAnsweridn
Sure, let's evaluate the expression step by step:

[tex]\[ 9 + (21 - 6) \div 3 \][/tex]

### Step 1: Evaluate the Expression Inside the Parentheses

First, begin by solving the expression inside the parentheses:

[tex]\[ 21 - 6 \][/tex]

Subtract 6 from 21:

[tex]\[ 21 - 6 = 15 \][/tex]

Now, the expression is:

[tex]\[ 9 + 15 \div 3 \][/tex]

### Step 2: Perform the Division

Next, we need to divide 15 by 3:

[tex]\[ 15 \div 3 \][/tex]

Dividing 15 by 3 gives:

[tex]\[ 15 \div 3 = 5 \][/tex]

Now, the expression is:

[tex]\[ 9 + 5 \][/tex]

### Step 3: Perform the Addition

Finally, add 9 and 5:

[tex]\[ 9 + 5 \][/tex]

Adding these together results in:

[tex]\[ 9 + 5 = 14 \][/tex]

Thus, the value of the expression [tex]\(9 + (21 - 6) \div 3\)[/tex] is:

[tex]\[ \boxed{14} \][/tex]
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