Suppose that the cost of a paving stone is $2.50, plus $0.15 for every 4 cubic inches of concrete.
1 answer:
Answer:
6 different sized paving stones,$16
Complete question:
What if the 360 cubic-inch paving stones are 4 inches thick and any whole number length and width are possible? How many different paving stones could be made? Suppose that the cost of having stone is $2.50, plus $0.15 for every 4 cubic inches of concrete how much would each paving stone cost?
Step-by-step explanation:
V= B x h
B= V / h=> 360 / 4
B= 90 sq inch
Considering the factors of 90: 1,2,3,5,6,9,10,15,18,30,45,90
Now, make table with base height and volume for each pair of factors. (see figure in the attachment)
We'll have 6 different sized paving stones.
As each stone has a vol of 360 inches³. Diving by 4 in order to find how many 4 inch³ per stone
Concrete=$0.15 x (360/4) => $0.15 x 90
Concrete= $13.5
The cost of the stone plus the concrete will be:
cost= $2.50 + concrete
cost= $2.50 + $13.5
cost=$16
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Answer:
<h2>B) 2x³ – 6x² – 14x + 24 square centimeters </h2>Step-by-step explanation:
The question is incomplete and lacks the required diagram. Find the diagram attached. Here is also the complete question.
"The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. Which simplified expression represents the area of the parallelogram? –4x3 + 14x – 24 square centimeters 2x3 – 6x2 – 14x + 24 square centimeters –4x3 – 14x + 24 square centimeters 2x3 + 6x2 + 14x + 24 square centimeters"
Area of a parallelogram = Base * Height.
Given the height of the parallelogram = (x-4)cm
Base = (2x² + 2x-6) cm
Area of the parallelogram = (x-4)cm * (2x² + 2x-6) cm
Area of the parallelogram = (x-4)(2x²+2x-6)
Area of the parallelogram = 2x³+2x²-6x-8x²-8x+24
= 2x³+2x²-8x²-6x-8x+24
= (2x³-6x²-14x+24)cm²
