Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Which expression is equivalent to [tex]$3 \times (6+9)$[/tex]?

A. [tex]$(3+6)+(3+9)$[/tex]

B. [tex]$(3 \times 6)+(3+9)$[/tex]

C. [tex][tex]$(3+6)+(3 \times 9)$[/tex][/tex]

D. [tex]$(3 \times 6)+(3 \times 9)$[/tex]

Sagot :

GinnyAnswer
Certainly! Let’s analyze and compare each option to find which expression is equivalent to [tex]\(3 \times (6 + 9)\)[/tex].

First, let's compute the value of the given expression:
[tex]\[3 \times (6 + 9).\][/tex]

Step 1: Compute the value inside the parentheses:
[tex]\[6 + 9 = 15.\][/tex]

Step 2: Multiply the result by 3:
[tex]\[3 \times 15 = 45.\][/tex]

Now, we'll evaluate each of the given options to see which one equals 45.

### Option A: [tex]\((3 + 6) + (3 + 9)\)[/tex]

Step 1: Compute the values inside the parentheses:
[tex]\[3 + 6 = 9\][/tex]
[tex]\[3 + 9 = 12\][/tex]

Step 2: Add the two results:
[tex]\[9 + 12 = 21\][/tex]

So, option A evaluates to 21, which is not equal to 45.

### Option B: [tex]\((3 \times 6) + (3 + 9)\)[/tex]

Step 1: Compute the values inside the parentheses:
[tex]\[3 \times 6 = 18\][/tex]
[tex]\[3 + 9 = 12\][/tex]

Step 2: Add the two results:
[tex]\[18 + 12 = 30\][/tex]

So, option B evaluates to 30, which is not equal to 45.

### Option C: [tex]\((3 + 6) + (3 \times 9)\)[/tex]

Step 1: Compute the values inside the parentheses:
[tex]\[3 + 6 = 9\][/tex]
[tex]\[3 \times 9 = 27\][/tex]

Step 2: Add the two results:
[tex]\[9 + 27 = 36\][/tex]

So, option C evaluates to 36, which is not equal to 45.

### Option D: [tex]\((3 \times 6) + (3 \times 9)\)[/tex]

Step 1: Compute the values inside the parentheses:
[tex]\[3 \times 6 = 18\][/tex]
[tex]\[3 \times 9 = 27\][/tex]

Step 2: Add the two results:
[tex]\[18 + 27 = 45\][/tex]

So, option D evaluates to 45, which is equal to 45.

Hence, the expression that is equivalent to [tex]\(3 \times (6 + 9)\)[/tex] is:

D. [tex]\((3 \times 6) + (3 \times 9)\)[/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.