Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
Answer:
2/5
Step-by-step explanation:
Out of the available options on the spinner, only 1 and 5 are factors of 25.
=> Outcomes = 2
=> Total outcomes = 5
P (factor of 25) = 2/5
Hope it helps.
Answer:
Per ounce better buy is <em>Happy popcorn</em>.
Step-by-step explanation:
Given that:
Happy popcorn price for 16 ounces = $1.39
Popper popcorn price for 34 ounces = $2.79
Discount coupon present with Gabe = 40 ¢ = $0.40
To find:
Which brand is the better buy per ounce?
Solution:
First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.
Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99
Price for 1 ounce of Happy popcorn after discount =
= $0.062
Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39
Price for 1 ounce of Popper popcorn after discount =
= $0.070
Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.
Therefore per ounce better buy is <em>Happy popcorn</em>.
45 + 65 = 5m + 65
45 = 5m
m = 9
Cost per gallon is found by dividing the cost by the number of gallons.
$43.95/16.1 ≈ $2.7298137
Rounded to hundredths, this is $2.73.