Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Let's verify each part of question 9 step-by-step.
### Part (a)
We need to verify the following equation:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
1. Calculate the left side:
[tex]\[ 18 \times [7 + (-3)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ 7 + (-3) = 4 \][/tex]
Then, multiply by 18:
[tex]\[ 18 \times 4 = 72 \][/tex]
2. Calculate the right side:
[tex]\[ [18 \times 7] + [18 \times (-3)] \][/tex]
First, perform the multiplications individually:
[tex]\[ 18 \times 7 = 126 \][/tex]
[tex]\[ 18 \times (-3) = -54 \][/tex]
Then, add the results:
[tex]\[ 126 + (-54) = 72 \][/tex]
3. Compare both sides:
The left side is 72, and the right side is 72. Since both sides are equal, the equation is verified:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
### Part (b)
We need to verify the following equation:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
1. Calculate the left side:
[tex]\[ (-21) \times [(-4) + (-6)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ (-4) + (-6) = -10 \][/tex]
Then, multiply by -21:
[tex]\[ (-21) \times (-10) = 210 \][/tex]
2. Calculate the right side:
[tex]\[ [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
First, perform the multiplications individually:
[tex]\[ (-21) \times (-4) = 84 \][/tex]
[tex]\[ (-21) \times (-6) = 126 \][/tex]
Then, add the results:
[tex]\[ 84 + 126 = 210 \][/tex]
3. Compare both sides:
The left side is 210, and the right side is 210. Since both sides are equal, the equation is verified:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
### Part 10
Unfortunately, the question seems incomplete as it only states "A cement company earns a profit of Rs 8 per bag of white" and does not ask for anything specific. Please provide the rest of the question or clarify what needs to be answered in Part 10.
### Part (a)
We need to verify the following equation:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
1. Calculate the left side:
[tex]\[ 18 \times [7 + (-3)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ 7 + (-3) = 4 \][/tex]
Then, multiply by 18:
[tex]\[ 18 \times 4 = 72 \][/tex]
2. Calculate the right side:
[tex]\[ [18 \times 7] + [18 \times (-3)] \][/tex]
First, perform the multiplications individually:
[tex]\[ 18 \times 7 = 126 \][/tex]
[tex]\[ 18 \times (-3) = -54 \][/tex]
Then, add the results:
[tex]\[ 126 + (-54) = 72 \][/tex]
3. Compare both sides:
The left side is 72, and the right side is 72. Since both sides are equal, the equation is verified:
[tex]\[ 18 \times [7 + (-3)] = [18 \times 7] + [18 \times (-3)] \][/tex]
### Part (b)
We need to verify the following equation:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
1. Calculate the left side:
[tex]\[ (-21) \times [(-4) + (-6)] \][/tex]
First, perform the addition inside the brackets:
[tex]\[ (-4) + (-6) = -10 \][/tex]
Then, multiply by -21:
[tex]\[ (-21) \times (-10) = 210 \][/tex]
2. Calculate the right side:
[tex]\[ [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
First, perform the multiplications individually:
[tex]\[ (-21) \times (-4) = 84 \][/tex]
[tex]\[ (-21) \times (-6) = 126 \][/tex]
Then, add the results:
[tex]\[ 84 + 126 = 210 \][/tex]
3. Compare both sides:
The left side is 210, and the right side is 210. Since both sides are equal, the equation is verified:
[tex]\[ (-21) \times [(-4) + (-6)] = [(-21) \times (-4)] + [(-21) \times (-6)] \][/tex]
### Part 10
Unfortunately, the question seems incomplete as it only states "A cement company earns a profit of Rs 8 per bag of white" and does not ask for anything specific. Please provide the rest of the question or clarify what needs to be answered in Part 10.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.
