Answer:
$46.20
Step-by-step explanation:
We can create a proportion to find the sale on the original price. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the prices and percents. If the price is discounted by 30% then we pay 70% of the price.
We begin solving by cross multiplying numerator to denominator of each fraction.
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Answer: The radius of the track = 0.64 mi
Step-by-step explanation:
Fr circular track , Total distance covered around it = (Number of laps) x (Circumference)
As per given,
32 mi = 8 x (Circumference)
Circumference = 
Also, Circumference = 
, where r= radius so,
Put 
Hence, the radius of the track = 0.64 mi
Answer:
Unit price = $1.31/roll
Step-by-step explanation:
Divide total cost by number of units:
$10.48 / 8 rolls = $1.31/roll
Answer:
x = 6 or x = -3/2
Step-by-step explanation:
Solve for x:
16 x^2 - 72 x + 145 = 289
Hint: | Write the quadratic equation in standard form.
Divide both sides by 16:
x^2 - (9 x)/2 + 145/16 = 289/16
Hint: | Solve the quadratic equation by completing the square.
Subtract 145/16 from both sides:
x^2 - (9 x)/2 = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 81/16 to both sides:
x^2 - (9 x)/2 + 81/16 = 225/16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 9/4)^2 = 225/16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 9/4 = 15/4 or x - 9/4 = -15/4
Hint: | Look at the first equation: Solve for x.
Add 9/4 to both sides:
x = 6 or x - 9/4 = -15/4
Hint: | Look at the second equation: Solve for x.
Add 9/4 to both sides:
Answer: x = 6 or x = -3/2
