The answer uses NMF for formatting, which you can find out about in my profile if needed:
the equation is this:
time = {total paid - 35}/{15}
Put in what we know:
time = {95 - 35}/{15}
time = {60}/{15}
time = 4 hours
The actual skate park's perimeter is 130 inches.
Explanation:
Step 1; Assume the initial garden has a width of y inches. It is given that the length is 25 inches. The perimeter of any given rectangle is twice the sum of the length and the width of the same rectangle. The initial perimeter is given as 80 inches.
Perimeter = 2 × (length of the rectange + width of the rectangle).
80 = 2 × (25 + y), 40 = 25 + y, y = 40 - 25 = 15
So the initial park has a width of 15 inches.
Step 2; Now we calculate the actual skate park's perimeter. The length is given as 50 inches and the width was found to be 15 inches.
Perimeter = 2 × (length of the rectange + width of the rectangle).
Perimeter = 2 × (50 + 15) = 2 × 65 = 130 inches.
(2x^2 + 4x + 6) - (-3x - 5x^2 + 4)
The negative sign separating the expressions is just multiplying the rightmost expression by -1.
(2x^2 + 4x + 6) + (3x + 5x^2 - 4)
Now, let's add together terms that share the same variable.
2x^2 + 5x^2 = 7x^2
4x + 3x = 7x
6 + (-4) = 2
Let's combine each of these terms into one expression.
7x^2 + 7x + 2 is the final answer.
Answer:
The expression represents Ann's membership cost as a function of how many times she brings John along. For t = 5 the cost is 275, for t = 10, the cost is 250 and for t = 20 the cost is 200.
Step-by-step explanation:
The expression "300 - 5*t" represents the cost of Ann's membership plan on the local gym, where "t" is the number of visits John pays Ann. This means that the more times John goes to the gym with Ann, the less is her cost to pay the membership.
For t = 5:
![cost = 300 - 5*t\\cost = 300 - 5*5 = 275](https://tex.z-dn.net/?f=cost%20%3D%20300%20-%205%2At%5C%5Ccost%20%3D%20300%20-%205%2A5%20%3D%20275)
For t = 10:
![cost = 300 - 5*t\\cost = 300 - 5*10 = 250](https://tex.z-dn.net/?f=cost%20%3D%20300%20-%205%2At%5C%5Ccost%20%3D%20300%20-%205%2A10%20%3D%20250)
For t = 20:
![cost = 300 - 5*t\\cost = 300 - 5*20 = 200](https://tex.z-dn.net/?f=cost%20%3D%20300%20-%205%2At%5C%5Ccost%20%3D%20300%20-%205%2A20%20%3D%20200)