Answer:
Step-by-step explanation:
Assume the barn is 80 ft long, 50 ft wide, and 30 ft high
1. Area to paint
They will be painting two sides and two ends.
The sides are 80 ft × 30 ft.
The ends are 50 ft × 30 ft,
Area of sides = 2 × 80 ft × 30 ft = 4800 ft²
Area of ends = 2 × 50 ft × 30 ft = <u>3000 ft²</u>
Total area = 7800 ft²
2. Amount of paint needed
One gallon covers 420 ft².
They usually sell barn paint in whole gallons. Alexis will have to buy 19 gal of paint to cover the whole barn.
3. Total Cost
It costs $28 for one gallon of paint,
Answer: 30/40, 25/40, 4/40
Step-by-step explanation: Using the Least Common Denominator, I looked at each multiple of each number to determine 40 as the least common denominator, and since we did 4 x 10 to get 40 in the first one, we do 3 x 10 in the first one as well making it 30/40. The second one we did 8 x 5 to get 40, making the numerator (top number) the product of 5 x 5 which is 25 making it 25/40. For the last one, I used 10 x 4 to get 40 meaning I would have to do 1 x 4 to get the numerator (top number) making it 4/40
Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
Answer:
y = 8
Step-by-step explanation:
adjacent/hypotenuse = cos(x)
4 / y = cos(30)
y = 4 /cos(30)
y = 8
Answer:
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Step-by-step explanation:
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