A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship. You can tell this because the line passes directly through the origin (0,0). It also says that it is a straight line that passes through the points, so most likely the line will contain points that have a proportional relationship. Hope that helps :)
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Answer: C) 13 gallons</h3>
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Work Shown:
(150 miles)/(6 gallons) = (325 miles)/(x gallons)
150/6 = 325/x
150*x = 6*325 .... see note below
150x = 1950
x = 1950/150 .... divide both sides by 150
x = 13 gallons is the final answer
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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.
Answer: changed by $48
Step-by-step explanation: 6 times $4 = $24 + $4 times 6 = $24 total= $48
Also $4 times 12 = $48
The formula for the volume of a quarter-sphere is simply one-fourth of the volume of the sphere. So the volume of a quarter-sphere:
V = (1/4) (4/3) (π r³)
or
V = (1/3) (π r³)
Since we are given with the radius of 70 feet, the volume is
V = (1/3) (π) (70³)
V = 359,189 cubic feet
Answer:
y = 112
Step-by-step explanation:
If y varies directly as the square of x
mathematically;
y ∝ x²
y = kx² where 'k' is the constant of proportionality
let u know the value of k for this equation by making k the subject of the formular from y = kx²
divide both sides by x²
k = y / x²
given that y = 567 x = 9
k = 567/(9)²
k = 567/81
k = 7
now to get the value of y when x = 4
from the equation conneting x, y,
y = kx²
y = 7 × (4)²
y = 7 × 16
y = 112
