The first car consumed 25 gallons of fuel while the second car consumed 30 gallons of fuel.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the first car consumption and y represent the second car consumption, hence:
x + y = 55 (1)
Also:
15x + 20y = 975 (2)
From both equations:
x = 25, y = 30
The first car consumed 25 gallons of fuel while the second car consumed 30 gallons of fuel.
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Answer:
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Step-by-step explanation:
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Scale factor is 1/3
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Answer: 61,750 miles
Step-by-step explanation:
Given : The p-value of the tires to outlast the warranty = 0.96
The probability that corresponds to 0.96 from a Normal distribution table is 1.75.
Mean : 
Standard deviation : 
The formula for z-score is given by : -

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.
Answer:

the height of the arch 10 feet from the center is 24 feet
Step-by-step explanation:
An arch is in the shape of a parabola. It has a span of 100 feet, the vertex lies at the center 50 and the maximum height of 25 ft.
Vertex at (50,25)
vertex form of the equation is
, (h,k) is the center

the parabola starts at (0,0) that is (x,y)

subtract 25 from both sides


divide both sides by 2500


the height of the arch 10 feet from the center.
center is at 50, 10 feet from the center so x=40 and x=60

y=24
the height of the arch 10 feet from the center is 24 feet