The paper is 7 cm by (x + 8) cm.
A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.
The area of the border/space around the photo is 50 cm².
To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.
The area of the paper:
A = 7 · (x + 8)
The area of the photo:
A = 5 · (x + 6)
Your equation to find the area of the border around the photo is:
(7 · (x + 8)) - (5 · (x + 6)) = A
[area of paper - area of photo = area of border]
Since you know the area of the border, you can plug it in:
(7 · (x + 8)) - (5 · (x + 6)) = 50
Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)
(7x + 56) - (5x + 30) = 50
Distribute/multiply the - to (5x + 30)
7x + 56 - 5x - 30 = 50
Combine like terms
2x + 26 = 50
Subtract 26 on both sides
2x = 24
Divide 2 on both sides
x = 12
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}
This is the correct answer to your problem
Answer:
19
Step-by-step explanation:
49 - 20
19
hope it helps u
The area of the square is 9, the area of all the semi circles added together is 15.7, when you add them together you get 24.7