Answer:
Oliver paid a total of $363.
Step-by-step explanation:
The total amount paid by Oliver on this dinner is given by the cost of their lunch (275) plus the tax (12%) plus the tip (20%). So in order to calculate this value we first need to know how much was paid in tax and the tip, these calculations are shown bellow:
tax = 275*12% = 275*(12/100) = 33
tip = 275*20% = 275*(20/100) = 55
So the total amount paid was:
total = 275 + 33 + 55 = $363
Oliver paid a total of $363.
You can not simplify it because they both are prime numbers
Answer: 11
Step-by-step explanation:
If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?
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# of days are inversely related to # of workers and directly related
to # of houses.
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d = kh/w
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Solve for "k" using "15 workers can paint 18 houses in 24 days"
24 = k*18/15
k = 15*24/18 = 15*(4/3) = 20
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Equation:
d = 20h/w
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Solve: How many days will 40 workers take to paint 22 houses?
d = 20*22/40
d = 11 days
Answer:
8 years
Step-by-step explanation:
Lets write an equation for Type A
The initial value is 5 ft and the slope 12 inches
We need to have the same units, so lets change 5 ft to inches
5 ft * 12 inches / ft = 60 inches
y = mx+b
y = 12 x + 60
Lets write an equation for Type B
The initial value is 3 ft and the slope 15 inches
We need to have the same units, so lets change 3 ft to inches
3 ft * 12 inches / ft = 36 inches
y = mx+b
y = 15 x + 36
We want to know when y is the same value. We can set the equations equal.
12x + 60 = 15x+36
Subtract 12 x from each side
12x-12x+60 = 15x-12x +36
60 =3x+36
Subtract 36 from each side
60-36 = 3x+36-36
24 = 3x
Divide each side by 3
24/3 = 3x/3
8 =x
It will take 8 years for the trees to be the same height
