You will want this equation to be in y=mx+b, because you already have the slope and y-intercept. X will be the number of days she has had the plant, and Y will be the height of the tree, because it is the variable being affected by the X. The slope, or the M, is 2.5 because this is the number of centimeters the tree grows per day. The y-intercept is 5, because this is the height of the tree originally. So, the equation is Y=2.5X+5. To solve the number of days Margo will have had the plant, plug in 65 (the height of the plant after a certain amount of days) into the Y variable and solve for X. So, 65=2.5X+5. Subtract 5 from both sides to get 60=2.5X, then divide both sides by 2.5 to get X=24. So, she will have owned the plant for 24 days.
I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"
Answer and Explanation:
There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week
To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.
49 weeks×5 shifts= 245 shifts per operator per year
365×3 shifts= 1095 shifts per year
1095/245=4.5 operators per shift
total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14
total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928
X + (x + 1) + (x + 2) = 126
3x = 123
x = 41
So the sides are 41, 42 and 43
Step-by-step explanation:
Solving
2x + 6 = 4x - 4
Bringing like terms on one side
6 + 4 = 4x - 2x
10 = 2x
10 / 2 = x
5 = x
Answer:
1.049
Step-by-step explanation:
Divide 103 into 108