Answer:
Step-by-step explanation: write the equation in the form of a proportion
2 1/2 is to 4 as something is to 3
2 1/2 / 4 = x/3
Then, cross multiply 2 1/2 x 3 or
5/2 x 3/1 = 15/2
Next cross multiply 4•X= 4X
Write as 4X = 15/2
Divide both sides by 4.
4X/ 4 = 15/2 /4
x = 15/2÷ 4/1
Divide by changing the sign to multiplication and inverting 4/1 to 1/4 like this:. 15/2. × 1/4= 15/8
Finally, 15/8 simplifies to 1 7/8 cups
Answer:
y = (x-3)^2 -16
Step-by-step explanation:
y = x^2 -6x-7
We need to complete the square
b= -6
b/2 = -6/2 = -3
(b/2) ^2 = (-3)^2 =9
Add 9 then subtract 9 to balance the equation
y = x^2 -6x +9 -9 -7
y = (x^2 -6x+9) -16
The terms in parentheses is (x-b/2)^2
y = (x-3)^2 -16
This is in vertex form
The vertex is (3,-16)
They are selling the wrapping paper for $5 each and selling the foil wrapping for $7 dollars each.
39=5(5)+2(7)
57=3(5)+6(7)
Answer:
see the explanation below
Step-by-step explanation:
you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion
Given data
you can type 250 characters in 60 seconds
your typing speed = 250/60
= 4.16 characters per seconds
your friend can type 375 characters in 90 seconds
your friends typing speed is
= 375/90
= 4.16 characters per seconds
Since both typing speeds corresponds, hence the ratios are proportional
