So here you are trying to find out what times .30 (30%) subtracted the original price will give you 18.75. Because it is 30% discount you want to use 70% (.7) so that you can find the price before not the price after.
so .7(x) = 18.75
Which you then divide and then get 26.79 dollars.
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.
A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.
The dimensions of the original photo is 6 x 6.
Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
Answer:
The average rate of change of f(x) = 3.14 inches⁻¹
The change in f(x) = 49.32 in
Step-by-step explanation:
The surface area of the spherical sculpture = x and its diameter f(x) = πx.
The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14
Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx
dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²
df(x) = π × 15.7 = 49.32 in
The maximum occurs when the derivative of the function is equal to zero.
Then evaluate the function for that time to find the maximum population.
Depending on the teacher, the "correct" answer will either be the exact decimal answer or the greatest integer of that value since you cannot have part of a rabbit.
