Answer:
Randall=68 pounds, Seth's=40, Joanna's=52
Step-by-step explanation:
Randall's = 3x-7
Seth's = 2x-10
Joanna's = 2x+2
Randall's + Joanna's = 3 (Seth's)
Find X:
- Form into an equation (add parentheses)
- (3x-7) + (2x+2) = 3 (2x-10)
- REmove parentheses on left side
- 3x-7+2x+2 = 3 (2x-10)
- Distribute right side
- = 6x-30
- 3x-7+2x+2 = 6x-30
- Combine like terms
- 5x-5=6x-30
- subtract 5x from BOTH sides (always subtract, add, multiply, and divide both sides at the same time)
- -5=x-30
- Add 30 to BOTH sides
- 25=x
Find how many pounds of trash each friend picked up:
Randall's:
- 3x-7
- plug in x
- 3(25)-7
- Distribute
- 75-7
- = 68
Seth's:
- 2x-10
- 2(25)-10
- 50-10
- = 40
Joanna's:
- 2x+2
- 2(25)+2
- 50+2
- =52
Double check your answers:
Randall's+Joanna's= Seth's(3)
68+52=40(3)
120=120
You're good to go!
Write the decimal number as a fraction
(over 1)
19.79 = 19.79 / 1
Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's
Numerator = 19.79 × 10 × 10 = 1979
Denominator = 1 × 10 × 10 = 100
Numerator / Denominator = 1979 / 100
Simplifying our fraction
= 1979/100
= 1979/100
= 19 79/100
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a side is 500m and an angle is 80 (90-10=80)
x will be 2879.39
hope this helps
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