Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Sure! Let's solve each of these equations step-by-step:
### First Equation:
[tex]\[ 3 \times 5 + \left(\frac{18}{6}\right\) + 2 \times 3 \][/tex]
1. Calculate [tex]\( 3 \times 5 \)[/tex]:
[tex]\[ 3 \times 5 = 15 \][/tex]
2. Calculate [tex]\( \left(\frac{18}{6}\right\)[/tex]:
[tex]\[ \frac{18}{6} = 3 \][/tex]
3. Calculate [tex]\( 2 \times 3 \: \[ 2 \times 3 = 6 \] 4. Add them together: \[ 15 + 3 + 6 = 24 \] So, the result is: \[ 24.0 \] ### Second Equation: \[ \left(\frac{72}{9}\right\)[/tex] + 3 - 5 + \left(4 \times 5\right\) \]
1. Calculate [tex]\( \frac{72}{9}\)[/tex]:
[tex]\[ \frac{72}{9} = 8 \][/tex]
2. Calculate [tex]\( 4 \times 5 \)[/tex]:
[tex]\[ 4 \times 5 = 20 \][/tex]
3. Combine them:
[tex]\[ 8 + 3 - 5 + 20 \][/tex]
4. Simplify step-by-step:
[tex]\[ 8 + 3 = 11 \][/tex]
[tex]\[ 11 - 5 = 6 \][/tex]
[tex]\[ 6 + 20 = 26 \][/tex]
So, the result is:
[tex]\[ 26.0 \][/tex]
### Third Equation:
[tex]\[ 5 + 3 - 4 + \left(6 \times 7\right\) - \left(\frac{18}{3}\right\) \][/tex]
1. Calculate [tex]\( 6 \times 7 \)[/tex]:
[tex]\[ 6 \times 7 = 42 \][/tex]
2. Calculate [tex]\( \frac{18}{3}\)[/tex]:
[tex]\[ \frac{18}{3} = 6 \][/tex]
3. Combine them:
[tex]\[ 5 + 3 - 4 + 42 - 6 \][/tex]
4. Simplify step-by-step:
[tex]\[ 5 + 3 = 8 \][/tex]
[tex]\[ 8 - 4 = 4 \][/tex]
[tex]\[ 4 + 42 = 46 \][/tex]
[tex]\[ 46 - 6 = 40 \][/tex]
So, the result is:
[tex]\[ 40.0 \][/tex]
### Fourth Equation:
[tex]\[ 100 - 52 - \left(\frac{56}{7}\right\) + 13 \][/tex]
1. Calculate [tex]\( \frac{56}{7}\)[/tex]:
[tex]\[ \frac{56}{7} = 8 \][/tex]
2. Combine them:
[tex]\[ 100 - 52 - 8 + 13 \][/tex]
3. Simplify step-by-step:
[tex]\[ 100 - 52 = 48 \][/tex]
[tex]\[ 48 - 8 = 40 \][/tex]
[tex]\[ 40 + 13 = 53 \][/tex]
So, the result is:
[tex]\[ 53.0 \][/tex]
### Fifth Equation:
[tex]\[ 7 \times \left(\frac{48}{8}\right\) + \left(\frac{27}{3}\right\) - 5 \times 2 \][/tex]
1. Calculate [tex]\( \frac{48}{8}\)[/tex]:
[tex]\[ \frac{48}{8} = 6 \][/tex]
2. Calculate [tex]\( 7 \times 6 \)[/tex]:
[tex]\[ 7 \times 6 = 42 \][/tex]
3. Calculate [tex]\( \frac{27}{3}\)[/tex]:
[tex]\[ \frac{27}{3} = 9 \][/tex]
4. Calculate [tex]\( 5 \times 2 \)[/tex]:
[tex]\[ 5 \times 2 = 10 \][/tex]
5. Combine them:
[tex]\[ 42 + 9 - 10 \][/tex]
6. Simplify step-by-step:
[tex]\[ 42 + 9 = 51 \][/tex]
[tex]\[ 51 - 10 = 41 \][/tex]
So, the result is:
[tex]\[ 41.0 \][/tex]
In conclusion, the solutions for the given equations are:
1. [tex]\( 3 \times 5 + \left(\frac{18}{6}\right\)[/tex] + 2 \times 3 = 24.0 \)
2. [tex]\( \left(\frac{72}{9}\right\)[/tex] + 3 - 5 + \left(4 \times 5\right\) = 26.0 \)
3. [tex]\( 5 + 3 - 4 + \left(6 \times 7\right\)[/tex] - \left(\frac{18}{3}\right\) = 40.0 \)
4. [tex]\( 100 - 52 - \left(\frac{56}{7}\right\)[/tex] + 13 = 53.0 \)
5. [tex]\( 7 \times \left(\frac{48}{8}\right\)[/tex] + \left(\frac{27}{3}\right\) - 5 \times 2 = 41.0 \)
### First Equation:
[tex]\[ 3 \times 5 + \left(\frac{18}{6}\right\) + 2 \times 3 \][/tex]
1. Calculate [tex]\( 3 \times 5 \)[/tex]:
[tex]\[ 3 \times 5 = 15 \][/tex]
2. Calculate [tex]\( \left(\frac{18}{6}\right\)[/tex]:
[tex]\[ \frac{18}{6} = 3 \][/tex]
3. Calculate [tex]\( 2 \times 3 \: \[ 2 \times 3 = 6 \] 4. Add them together: \[ 15 + 3 + 6 = 24 \] So, the result is: \[ 24.0 \] ### Second Equation: \[ \left(\frac{72}{9}\right\)[/tex] + 3 - 5 + \left(4 \times 5\right\) \]
1. Calculate [tex]\( \frac{72}{9}\)[/tex]:
[tex]\[ \frac{72}{9} = 8 \][/tex]
2. Calculate [tex]\( 4 \times 5 \)[/tex]:
[tex]\[ 4 \times 5 = 20 \][/tex]
3. Combine them:
[tex]\[ 8 + 3 - 5 + 20 \][/tex]
4. Simplify step-by-step:
[tex]\[ 8 + 3 = 11 \][/tex]
[tex]\[ 11 - 5 = 6 \][/tex]
[tex]\[ 6 + 20 = 26 \][/tex]
So, the result is:
[tex]\[ 26.0 \][/tex]
### Third Equation:
[tex]\[ 5 + 3 - 4 + \left(6 \times 7\right\) - \left(\frac{18}{3}\right\) \][/tex]
1. Calculate [tex]\( 6 \times 7 \)[/tex]:
[tex]\[ 6 \times 7 = 42 \][/tex]
2. Calculate [tex]\( \frac{18}{3}\)[/tex]:
[tex]\[ \frac{18}{3} = 6 \][/tex]
3. Combine them:
[tex]\[ 5 + 3 - 4 + 42 - 6 \][/tex]
4. Simplify step-by-step:
[tex]\[ 5 + 3 = 8 \][/tex]
[tex]\[ 8 - 4 = 4 \][/tex]
[tex]\[ 4 + 42 = 46 \][/tex]
[tex]\[ 46 - 6 = 40 \][/tex]
So, the result is:
[tex]\[ 40.0 \][/tex]
### Fourth Equation:
[tex]\[ 100 - 52 - \left(\frac{56}{7}\right\) + 13 \][/tex]
1. Calculate [tex]\( \frac{56}{7}\)[/tex]:
[tex]\[ \frac{56}{7} = 8 \][/tex]
2. Combine them:
[tex]\[ 100 - 52 - 8 + 13 \][/tex]
3. Simplify step-by-step:
[tex]\[ 100 - 52 = 48 \][/tex]
[tex]\[ 48 - 8 = 40 \][/tex]
[tex]\[ 40 + 13 = 53 \][/tex]
So, the result is:
[tex]\[ 53.0 \][/tex]
### Fifth Equation:
[tex]\[ 7 \times \left(\frac{48}{8}\right\) + \left(\frac{27}{3}\right\) - 5 \times 2 \][/tex]
1. Calculate [tex]\( \frac{48}{8}\)[/tex]:
[tex]\[ \frac{48}{8} = 6 \][/tex]
2. Calculate [tex]\( 7 \times 6 \)[/tex]:
[tex]\[ 7 \times 6 = 42 \][/tex]
3. Calculate [tex]\( \frac{27}{3}\)[/tex]:
[tex]\[ \frac{27}{3} = 9 \][/tex]
4. Calculate [tex]\( 5 \times 2 \)[/tex]:
[tex]\[ 5 \times 2 = 10 \][/tex]
5. Combine them:
[tex]\[ 42 + 9 - 10 \][/tex]
6. Simplify step-by-step:
[tex]\[ 42 + 9 = 51 \][/tex]
[tex]\[ 51 - 10 = 41 \][/tex]
So, the result is:
[tex]\[ 41.0 \][/tex]
In conclusion, the solutions for the given equations are:
1. [tex]\( 3 \times 5 + \left(\frac{18}{6}\right\)[/tex] + 2 \times 3 = 24.0 \)
2. [tex]\( \left(\frac{72}{9}\right\)[/tex] + 3 - 5 + \left(4 \times 5\right\) = 26.0 \)
3. [tex]\( 5 + 3 - 4 + \left(6 \times 7\right\)[/tex] - \left(\frac{18}{3}\right\) = 40.0 \)
4. [tex]\( 100 - 52 - \left(\frac{56}{7}\right\)[/tex] + 13 = 53.0 \)
5. [tex]\( 7 \times \left(\frac{48}{8}\right\)[/tex] + \left(\frac{27}{3}\right\) - 5 \times 2 = 41.0 \)
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
