The original price for each card is 80 dollars each.
Rewriting the equation as a proportion, we have
(1/2 * 2x/2x) + (1/2x * 2/2) = (x^2 - 7x + 10)/4x
(2x/4x) + (2/4x) = (x^2 - 7x + 10)/4x
Multiplying both sides of the equation by 4x to clear the denominators:
2x + 2 = x^2 - 7x + 10
We now have a new equation that is equivalent to the original equation:
x^2 - 9x + 8 = 0
We can also write the equation into its factored form:
(x - 8)(x - 1) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x - 8) or (x - 1) zero will make their product zero.
x - 8 = 0 => x = 8
x - 1 = 0 => x = 1
Therefore, our solutions are x = 8 and x = 1.
Answer:
30%
Step-by-step explanation:
total boxes of pizza = 20
he gave away 14 boxes
so pizza left is 20 - 14 = 6 boxes
to calculate percentage = 6 / 20 * 100
= 6 * 5
= 30%
Answer:
Each person will get 1.25 or 1 1/4 cereal bars.
Step-by-step explanation:
5/4 = 1.25 = 1 1/4