Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

6. Simplify:
[tex]\[ 173 \% \times (6 + 8 \times 3 - 2) + 11957125 = [37 + \frac{8}{14}] \][/tex]

7. Using the rule of BODMAS, determine the answer to:
[tex]\[ 18 + \left( 10 - 4 + 3 \times 28 \div (4 + 10) \right) \times 2 - 11 \][/tex]

Sagot :

GinnyAnswer
Let's solve these problems step-by-step using the rules of BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Problem 6:
Simplify [tex]\(173 \% \times (6 + 8 \times 3 - 2) + 11957125\)[/tex]

Here is the step-by-step simplification:

1. Evaluate the expression inside the parentheses first:
[tex]\[ 6 + 8 \times 3 - 2 \][/tex]
2. According to BODMAS, we first perform the multiplication:
[tex]\[ 8 \times 3 = 24 \][/tex]
3. Now substitute this back into the expression:
[tex]\[ 6 + 24 - 2 \][/tex]
4. Perform the addition and subtraction from left to right:
[tex]\[ 6 + 24 = 30 \][/tex]
[tex]\[ 30 - 2 = 28 \][/tex]
5. Now evaluate [tex]\(173\% \times 28\)[/tex]. Here, [tex]\(173\%\)[/tex] means [tex]\( \frac{173}{100} \)[/tex]:
[tex]\[ \frac{173}{100} \times 28 = 1.73 \times 28 = 48.44 \][/tex]
6. Finally, add this result to 11957125:
[tex]\[ 48.44 + 11957125 = 11957173.44 \][/tex]

So, the simplified result is [tex]\(11957173.44\)[/tex].

### Problem 7:
Determine the answer to [tex]\(18 \div (10 - 4 + 328(4 + 10)) \div 2 - 11\)[/tex]

Here's the step-by-step simplification:

1. Evaluate the expression inside the brackets first:
[tex]\[ 4 + 10 \][/tex]
[tex]\[ 4 + 10 = 14 \][/tex]
2. Now substitute this back into the expression:
[tex]\[ 328 \times 14 \][/tex]
3. Perform the multiplication:
[tex]\[ 328 \times 14 = 4592 \][/tex]
4. Substitute this value back into the original expression:
[tex]\[ 10 - 4 + 4592 \][/tex]
5. Perform the addition and subtraction from left to right:
[tex]\[ 10 - 4 = 6 \][/tex]
[tex]\[ 6 + 4592 = 4598 \][/tex]
6. Now, perform the division:
[tex]\[ 4598 \div 2 = 2296 \][/tex]
7. Finally, subtract 11 from this result:
[tex]\[ 2296 - 11 = 2285 \][/tex]

So, the result is [tex]\(2285\)[/tex].

The detailed solutions for both problems are:
1. [tex]\(11957173.44\)[/tex]
2. [tex]\(2285\)[/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.