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15.) \( 31+m=203 \) 22.) \( m-2.4=12.6 \) 16.) \( 17+d=61 \) 23.) \( r+4.3=42.5 \) 17.) \( x-21=84 \) 24.) \( t-5.7=7.7 \) 18.) \( y-9=2 \) 25.) \( 9.12+x=14.3 \) 19.) \( 13+x=321 \) 26.) \( 5.75+v=10 \) 20.) \( 31.3+z=109 \) 27.) \( c-23.99=0.01 \) 21.) \( 4.13+z=7.62 \) 28.) \( c-18.65=90.42 \)

Ask by Carlson Hammond. in the United States
Feb 26,2025

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Answer

Here are the solutions to the equations: 1. \( m = 172 \) 2. \( m = 15 \) 3. \( d = 44 \) 4. \( r = 38.2 \) 5. \( x = 105 \) 6. \( t = 13.4 \) 7. \( y = 11 \) 8. \( x = 5.18 \) 9. \( x = 308 \) 10. \( z = 77.7 \) 11. \( z = 3.49 \) 12. \( v = 4.25 \) 13. \( c = 24 \) 14. \( c = 109.07 \)

Solution

Solve the equation by following steps: - step0: Solve for \(y\): \(y-9=2\) - step1: Move the constant to the right side: \(y=2+9\) - step2: Add the numbers: \(y=11\) Solve the equation \( 17+d=61 \). Solve the equation by following steps: - step0: Solve for \(d\): \(17+d=61\) - step1: Move the constant to the right side: \(d=61-17\) - step2: Subtract the numbers: \(d=44\) Solve the equation \( c-18.65=90.42 \). Solve the equation by following steps: - step0: Solve for \(c\): \(c-18.65=90.42\) - step1: Move the constant to the right side: \(c=90.42+18.65\) - step2: Add the numbers: \(c=109.07\) Solve the equation \( 31+m=203 \). Solve the equation by following steps: - step0: Solve for \(m\): \(31+m=203\) - step1: Move the constant to the right side: \(m=203-31\) - step2: Subtract the numbers: \(m=172\) Solve the equation \( 31.3+z=109 \). Solve the equation by following steps: - step0: Solve for \(z\): \(31.3+z=109\) - step1: Move the constant to the right side: \(z=109-31.3\) - step2: Subtract the numbers: \(z=77.7\) Solve the equation \( 9.12+x=14.3 \). Solve the equation by following steps: - step0: Solve for \(x\): \(9.12+x=14.3\) - step1: Move the constant to the right side: \(x=14.3-9.12\) - step2: Subtract the numbers: \(x=5.18\) Solve the equation \( 13+x=321 \). Solve the equation by following steps: - step0: Solve for \(x\): \(13+x=321\) - step1: Move the constant to the right side: \(x=321-13\) - step2: Subtract the numbers: \(x=308\) Solve the equation \( 5.75+v=10 \). Solve the equation by following steps: - step0: Solve for \(v\): \(5.75+v=10\) - step1: Move the constant to the right side: \(v=10-5.75\) - step2: Subtract the numbers: \(v=4.25\) Solve the equation \( 4.13+z=7.62 \). Solve the equation by following steps: - step0: Solve for \(z\): \(4.13+z=7.62\) - step1: Move the constant to the right side: \(z=7.62-4.13\) - step2: Subtract the numbers: \(z=3.49\) Solve the equation \( x-21=84 \). Solve the equation by following steps: - step0: Solve for \(x\): \(x-21=84\) - step1: Move the constant to the right side: \(x=84+21\) - step2: Add the numbers: \(x=105\) Solve the equation \( r+4.3=42.5 \). Solve the equation by following steps: - step0: Solve for \(r\): \(r+4.3=42.5\) - step1: Move the constant to the right side: \(r=42.5-4.3\) - step2: Subtract the numbers: \(r=38.2\) Solve the equation \( t-5.7=7.7 \). Solve the equation by following steps: - step0: Solve for \(t\): \(t-5.7=7.7\) - step1: Move the constant to the right side: \(t=7.7+5.7\) - step2: Add the numbers: \(t=13.4\) Solve the equation \( m-2.4=12.6 \). Solve the equation by following steps: - step0: Solve for \(m\): \(m-2.4=12.6\) - step1: Move the constant to the right side: \(m=12.6+2.4\) - step2: Add the numbers: \(m=15\) Solve the equation \( c-23.99=0.01 \). Solve the equation by following steps: - step0: Solve for \(c\): \(c-23.99=0.01\) - step1: Move the constant to the right side: \(c=0.01+23.99\) - step2: Add the numbers: \(c=24\) Here are the solutions to the equations provided: 1. **For \( 31 + m = 203 \)**: \[ m = 203 - 31 = 172 \] 2. **For \( m - 2.4 = 12.6 \)**: \[ m = 12.6 + 2.4 = 15 \] 3. **For \( 17 + d = 61 \)**: \[ d = 61 - 17 = 44 \] 4. **For \( r + 4.3 = 42.5 \)**: \[ r = 42.5 - 4.3 = 38.2 \] 5. **For \( x - 21 = 84 \)**: \[ x = 84 + 21 = 105 \] 6. **For \( t - 5.7 = 7.7 \)**: \[ t = 7.7 + 5.7 = 13.4 \] 7. **For \( y - 9 = 2 \)**: \[ y = 2 + 9 = 11 \] 8. **For \( 9.12 + x = 14.3 \)**: \[ x = 14.3 - 9.12 = 5.18 \] 9. **For \( 13 + x = 321 \)**: \[ x = 321 - 13 = 308 \] 10. **For \( 31.3 + z = 109 \)**: \[ z = 109 - 31.3 = 77.7 \] 11. **For \( 4.13 + z = 7.62 \)**: \[ z = 7.62 - 4.13 = 3.49 \] 12. **For \( 5.75 + v = 10 \)**: \[ v = 10 - 5.75 = 4.25 \] 13. **For \( c - 23.99 = 0.01 \)**: \[ c = 0.01 + 23.99 = 24 \] 14. **For \( c - 18.65 = 90.42 \)**: \[ c = 90.42 + 18.65 = 109.07 \] These calculations provide the values for \( m, d, r, x, t, y, z, v, \) and \( c \).

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Did you know that algebra has been around for centuries, dating back to ancient civilizations like the Babylonians? They used early forms of algebra to solve problems related to land measurement and trade! This mathematical discipline has evolved over time, merging with geometry and number theory, contributing to the advanced math we use today. Algebra isn't just for the classroom; it's highly applicable in everyday life! From calculating expenses when shopping to determining how long it takes for a car to get from point A to point B, understanding algebra can help us make informed decisions. So, next time you're balancing your budget or planning a trip, remember, a bit of algebra goes a long way!

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