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equation

  1. math_celebrity

    n^2 = 64

    n^2 = 64 Take the square root of each side: sqrt(n^2) = sqt(64) n = 8
  2. math_celebrity

    1/10n = 100

    1/10n = 100 Cross multiply: n = 100 * 10 n = 1000
  3. math_celebrity

    n + 9n - 8 - 5 = 2n + 3

    n + 9n - 8 - 5 = 2n + 3 Solve for n in the equation n + 9n - 8 - 5 = 2n + 3 Step 1: Group the n terms on the left hand side: (1 + 9)n = 10n Step 2: Group the constant terms on the left hand side: -8 - 5 = -13 Step 3: Form modified equation 10n - 13 = 2n + 3 Step 4: Group variables: We need...
  4. math_celebrity

    2n = 4n

    2n = 4n Solve for n in the equation 2n = 4n Step 1: Group variables: We need to group our variables 2n and 4n. To do that, we subtract 4n from both sides 2n - 4n = 4n - 4n Step 2: Cancel 4n on the right side: -2n = 0 Step 3: Divide each side of the equation by -2 -2n/-2 = 0/-2 n = 0
  5. math_celebrity

    2n + 10 = 3n + 5

    2n + 10 = 3n + 5 Solve for n in the equation 2n + 10 = 3n + 5 Step 1: Group variables: We need to group our variables 2n and 3n. To do that, we subtract 3n from both sides 2n + 10 - 3n = 3n + 5 - 3n Step 2: Cancel 3n on the right side: -n + 10 = 5 Step 3: Group constants: We need to group...
  6. math_celebrity

    2n - 1&1/2n = 59

    2n - 1&1/2n = 59 1&1/2n = 3/2n or 1.5n So we have: 2n - 1.5n = 59 Solve for n in the equation 2n - 1.5n = 59 Step 1: Group the n terms on the left hand side: (2 - 1.5)n = 0.5n Step 2: Form modified equation 0.5n = + 59 Step 3: Divide each side of the equation by 0.5 0.5n/0.5 = 59/0.5 n = 118
  7. math_celebrity

    n - n = 10 - n

    n - n = 10 - n Solve for n in the equation n - n = 10 - n Step 1: Group the n terms on the left hand side: (1 - 1)n = 0n = 0 Step 2: Form modified equation = - n + 10 Step 3: Group variables: We need to group our variables and -n. To do that, we add n to both sides + n = -n + 10 + n Step 4...
  8. math_celebrity

    100n = 100

    100n = 100 Solve for n in the equation 100n = 100 Step 1: Divide each side of the equation by 100 100n/100 = 100/100 n = 1
  9. math_celebrity

    4n - 8 = n + 1

    4n - 8 = n + 1 Solve for n in the equation 4n - 8 = n + 1 Step 1: Group variables: We need to group our variables 4n and n. To do that, we subtract n from both sides 4n - 8 - n = n + 1 - n Step 2: Cancel n on the right side: 3n - 8 = 1 Step 3: Group constants: We need to group our constants...
  10. math_celebrity

    1/2n + 1&1/2n = -10

    1/2n + 1&1/2n = -10 1&1/2 = 3/2 so we have: n/2 + 3n/2 = -10 4n/2 = -10 2n = -10 Divide each side by 2: 2n/2 = -10/2 n = -5
  11. math_celebrity

    n + 2n + 3n + 4n = 2 + 3 + 4 + 5 + 6

    n + 2n + 3n + 4n = 2 + 3 + 4 + 5 + 6 Solve for n in the equation n + 2n + 3n + 4n = 2 + 3 + 4 + 5 + 6 Step 1: Group the n terms on the left hand side: (1 + 2 + 3 + 4)n = 10n Step 2: Group the constant terms on the right hand side: 2 + 3 + 4 + 5 + 6 = 20 Step 3: Form modified equation 10n = +...
  12. math_celebrity

    2n - 7 = 0

    2n - 7 = 0 Solve for n in the equation 2n - 7 = 0 Step 1: Group constants: We need to group our constants -7 and 0. To do that, we add 7 to both sides 2n - 7 + 7 = 0 + 7 Step 2: Cancel 7 on the left side: 2n = 7 Step 3: Divide each side of the equation by 2 2n/2 = 7/2 n = 3.5
  13. math_celebrity

    2n + 1 = n + 10

    2n + 1 = n + 10 Solve for n in the equation 2n + 1 = n + 10 Step 1: Group variables: We need to group our variables 2n and n. To do that, we subtract n from both sides 2n + 1 - n = n + 10 - n Step 2: Cancel n on the right side: n + 1 = 10 Step 3: Group constants: We need to group our...
  14. math_celebrity

    7n + 4 + n - 5 = 63

    7n + 4 + n - 5 = 63 Solve for n in the equation 7n + 4 + n - 5 = 63 Step 1: Group the n terms on the left hand side: (7 + 1)n = 8n Step 2: Group the constant terms on the left hand side: 4 - 5 = -1 Step 3: Form modified equation 8n - 1 = + 63 Step 4: Group constants: We need to group our...
  15. math_celebrity

    2n + 8 - n = 20

    2n + 8 - n = 20 Solve for n in the equation 2n + 8 - n = 20 Step 1: Group the n terms on the left hand side: (2 - 1)n = n Step 2: Form modified equation n + 8 = + 20 Step 3: Group constants: We need to group our constants 8 and 20. To do that, we subtract 8 from both sides n + 8 - 8 = 20 - 8...
  16. math_celebrity

    5n - 5 = 85

    5n - 5 = 85 Solve for n in the equation 5n - 5 = 85 Step 1: Group constants: We need to group our constants -5 and 85. To do that, we add 5 to both sides 5n - 5 + 5 = 85 + 5 Step 2: Cancel 5 on the left side: 5n = 90 Step 3: Divide each side of the equation by 5 5n/5 = 90/5 n = 18
  17. math_celebrity

    2n + 8 = 24

    2n + 8 = 24 Solve for n in the equation 2n + 8 = 24 Step 1: Group constants: We need to group our constants 8 and 24. To do that, we subtract 8 from both sides 2n + 8 - 8 = 24 - 8 Step 2: Cancel 8 on the left side: 2n = 16 Step 3: Divide each side of the equation by 2 2n/2 = 16/2 n = 8
  18. math_celebrity

    Deanna has 5-cent stamps and 10-cent stamps. If she has 100 total stamps, what is the value of the s

    Deanna has 5-cent stamps and 10-cent stamps. If she has 100 total stamps, what is the value of the stamps? Call the 5-cent stamps n. Value of 5-cent stamps 0.05n Number of 10 cent stamps is: 100 - n Value is 0.10(100 - n) = 10 - 0.10n Add them both: 10 - 0.10n + 0.05n 10 - 0.05n
  19. math_celebrity

    A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00

    A school spent $150 on advertising for a breakfast fundraiser. Each plate of food was sold for $8.00 but cost the school $2.00 to prepare. After all expenses were paid, the school raised $2,400 at the fundraiser. Which equation can be used to find x, the number of plates that were sold? Set up...
  20. math_celebrity

    Solve for x

    The angle with measurements of 148 degrees lies on a straight line, which means it's supplementanry angle is: 180 - 148 = 32 Since the angle of 2x - 16 and 32 lie on a straight line, their angle sum equals 180: 2x + 16 + 32 = 180 To solve this equation for x, we type it in our math engine and...
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