Answer: 74.8%
This answer is approximate.
The value is rounded to the nearest tenth of a percent.
==========================================
Explanation:
Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y
The goal is to compute the ratio Z/X to get the answer we want
Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi
Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi
Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region
Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate
Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%
Then round this to one decimal place
74.812% ---> 74.8%
14000+7x=35x (x being the number of books) solve for x and you have your answer. 14000=35x-7x=28x therefore x=14000/28=500 so he needs to sell 500 books before he breaks even.
Answer:
18.84
Step-by-step explanation:
A = 2
b = 0
2a + 2b = 4 → 4a + 4b = 8
(4a + 4b = 8) - (4a - 3b = 8) → 7b = 0
b = 0
so a = 2
This is an item involving the use of ratio and proportion. The ratio between the the cost and the number of juice boxes should always be equal. With this,
($27 / 18 juice boxes) = (x / 24 juice boxes)
Solving x from the equation gives x = 36. Thus, 24 juice boxes cost $36.
