Answer:
25 gallons
Step-by-step explanation:
Assuming miles-per-gallon is a constant, the amount of gas is proportional to the miles driven:
gallons/(500 mi) = (13 gal)/(260 mi)
gallons = (500 mi)/(260 mi)(13 gal) . . . . multiply by 500 mi
gallons = 25 gal . . . . do the arithmetic
The van will need 25 gallons of gas to go 500 miles.
Answer:
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Answer:
Step-by-step explanation:
a(20ft)
b(46ft)
c(72.6mm)
Yes it is because 4+4=8 and 8 is larger than 7
7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
