I hope this is the answer you want
Answer:
Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Step-by-step explanation:
cost of gas per gallon = $2.78
it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.
Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.
Let the quantity of gas bought be x gallon.
Total cost for x gallons = cost of gas per gallon*x = 2.78x
Given that total money paid by him is $18
2.78x = 18
x = 18/2.78 = 6.47
Thus, Cory bought 6.47 gallons
rate of change is $2.78 per gallon
Answer:
126 square inches
Step-by-step explanation:
The area of the figure = area of the parallelogram + area of the square + area of the rectangle
✔️Area of the parallelogram = b*h
b = 10 in.
h = 3.5 in.
Area = 10*3.5
Area = 35 in.²
✔️Area of the square = s²
s = 4 in.
Area = 4²
Area = 16 in.²
✔️Area of the rectangle = L*W
L = 12.5 in.
W = 6 in.
Area = 12.5*6
Area = 75 in.²
✅Area of the figure = 35 + 16 + 75
= 126 in.²
The determinant of a 2 x 2 matrix can be calculated as:
Product of non-diagonal elements subtracted from product of diagonal elements.
The diagonal elements in given matrix are 12 and 2. The non-diagonal elements are -6 and 0.
So,
Determinant G = 12(2) - (-6)(0)
Determinant G = 24 - 0 = 24
So, option B gives the correct answer
<span>The triangle on paper is 5 inches wide by 7 inches high.</span><span>
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If 1 inch on paper is equal to 1.5 feet on paper, then you need to multiply all dimensions by 18 because 1.5 feet is equal to 18 inches and you are getting 18 inches on the real banner for every inch on the paper banner. </span><span>
5 * 18 = 90 inches from the base of the rear triangle.</span><span>
7 * 18 = 125 inches for the height of the rear triangle. </span><span>
</span><span>The area of the paper triangle will be 5 * 7 / 2 = 35/2 square inches.</span><span>
The area of the rear triangle will be 90 * 125 / 2 = 5625 square inches. </span><span>
regarding feet:
The base of the real banner will be 125/12 = 10.41666666....... feet.</span><span>
the height of the real banner will be 90 / 12 = 7.5 feet.</span><span>
the area of the real banner will be 5625 / 12^1 = 5625 / 144 = 39.0625 square feet.</span><span>
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