Solve 3/5 = 4m pls help!!!
1 answer:
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Answer:
m = 4/3
Step-by-step explanation:
To find the slope of a line use the formula, where "m" means slope:
*You don't need to show this part on paper*
Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).
Point 1: (-2, 1) x₁ = -2 y₁ = 1
Point 2: (4, 9) x₂ = 4 y₂ = 9
Substitute the coordinates into the formula:
*Show this part on paper*
Simplify
Reduce by dividing by 2
Slope
The slope of the line is 4/3
Answer:
It would take Henry 3 hours to clean the office carpets if Mary were not there to help
Step-by-step explanation:
Assume that it takes Henry t hours to clean the carpets
∵ Henry takes 3 hours less than Mary to clean the carpets
∵ Henry takes t hours
- That means add 3 to t to find Mary time
∴ Mary takes t + 3 hours
∵ The rate of Henry is
∵ The rate of Mary is
∵ Working together, they can clean the carpets in 2 hours
- Add the two rates and equate the answer by (their rate together)
∴
Multiply the two denominators and multiply each numerator by the other denominator to add the two fractions of the left hand side
∵
∴
- Add the two fractions in the left hand side
∴
∴
Use the cross multiplication
∵ (t² + 3t)(1) = 2(2t + 3)
∴ t² + 3t = 4t + 6
- Subtract 4t from both sides
∴ t² - t = 6
- Subtract 6 from both sides
∴ t² - t - 6 = 0
- Factorize it into two factors
∴ (t - 3)(t + 2) = 0
Equate each factor by 0 to find t
∵ t - 3 = 0
- Add 3 to both sides
∴ t = 3
OR
∵ t + 2 = 0
- Subtract 2 from both sides
∴ t = -2 ⇒ reject this answer because there is no - ve time
∴ t = 3
∴ Henry would take 3 hours to clean the carpets alone
It would take Henry 3 hours to clean the office carpets if Mary were not there to help