1. Solve for \( \mathrm{n}: n \div 4=12 \) 2. Find the value of \( \mathrm{b}: b \div 2.5=10 \) 3. Solve for \( \mathrm{k}: k \cdot \frac{1}{3}=15 \) 4. What is the value of \( \mathrm{p}: p \div \frac{2}{5}=20 \) 5. Find \( \mathrm{y}: y \cdot 1.5=30 \) 6. Solve for \( \mathrm{m}: m \div 8=\frac{3}{4} \) 7. What number divided by \( \frac{3}{4} \) equals 16 ? 8. Find the value of \( \mathrm{r}: r \cdot 25=45 \) 9. Solve for \( \mathrm{h}: h \div \frac{5}{6}=12 \) 10. What is the value of \( \mathrm{w}: u=\frac{2}{3}=14 \) 11. Find \( \mathrm{t}: t \div 1.2=25 \) 12. Solve for \( \mathrm{d}: d \cdot \frac{4}{5}=20 \)

Sure! Let's solve each of the problems step by step. --- ### 1. Solve for \( n \): \( n \div 4 = 12 \) **Solution:** \[ n \div 4 = 12 \\ n = 12 \times 4 \\ n = 48 \] **Answer:** \( n = 48 \) --- ### 2. Find the value of \( b \): \( b \div 2.5 = 10 \) **Solution:** \[ b \div 2.5 = 10 \\ b = 10 \times 2.5 \\ b = 25 \] **Answer:** \( b = 25 \) --- ### 3. Solve for \( k \): \( k \times \frac{1}{3} = 15 \) **Solution:** \[ k \times \frac{1}{3} = 15 \\ k = 15 \div \frac{1}{3} \\ k = 15 \times 3 \\ k = 45 \] **Answer:** \( k = 45 \) --- ### 4. What is the value of \( p \): \( p \div \frac{2}{5} = 20 \) **Solution:** \[ p \div \frac{2}{5} = 20 \\ p \times \frac{5}{2} = 20 \\ p = 20 \times \frac{2}{5} \\ p = 8 \] **Answer:** \( p = 8 \) --- ### 5. Find \( y \): \( y \times 1.5 = 30 \) **Solution:** \[ y \times 1.5 = 30 \\ y = 30 \div 1.5 \\ y = 20 \] **Answer:** \( y = 20 \) --- ### 6. Solve for \( m \): \( m \div 8 = \frac{3}{4} \) **Solution:** \[ m \div 8 = \frac{3}{4} \\ m = \frac{3}{4} \times 8 \\ m = 6 \] **Answer:** \( m = 6 \) --- ### 7. What number divided by \( \frac{3}{4} \) equals 16? **Solution:** \[ \frac{x}{\frac{3}{4}} = 16 \\ x = 16 \times \frac{3}{4} \\ x = 12 \] **Answer:** The number is \( 12 \) --- ### 8. Find the value of \( r \): \( r \times 25 = 45 \) **Solution:** \[ r \times 25 = 45 \\ r = 45 \div 25 \\ r = 1.8 \] **Answer:** \( r = 1.8 \) --- ### 9. Solve for \( h \): \( h \div \frac{5}{6} = 12 \) **Solution:** \[ h \div \frac{5}{6} = 12 \\ h \times \frac{6}{5} = 12 \\ h = 12 \times \frac{5}{6} \\ h = 10 \] **Answer:** \( h = 10 \) --- ### 10. What is the value of \( w \): \( w \times \frac{2}{3} = 14 \) *(Assuming the original problem had a typo and was meant to relate \( w \) with \( \frac{2}{3} \) to equal 14)* **Solution:** \[ w \times \frac{2}{3} = 14 \\ w = 14 \div \frac{2}{3} \\ w = 14 \times \frac{3}{2} \\ w = 21 \] **Answer:** \( w = 21 \) --- ### 11. Find \( t \): \( t \div 1.2 = 25 \) **Solution:** \[ t \div 1.2 = 25 \\ t = 25 \times 1.2 \\ t = 30 \] **Answer:** \( t = 30 \) --- ### 12. Solve for \( d \): \( d \times \frac{4}{5} = 20 \) **Solution:** \[ d \times \frac{4}{5} = 20 \\ d = 20 \div \frac{4}{5} \\ d = 20 \times \frac{5}{4} \\ d = 25 \] **Answer:** \( d = 25 \) --- Feel free to reach out if you have any more questions!