Let's first find the number of apple pies.
apple pies = 65 crates x 43 apple pies per crate = 2795 apples pies
If each apple pie cost $12 then...
money from apple pies = 2795 apple pies x $12 = $33540
total pies sold = 2795 apple pie + 121 boxes x 76 sweet potato pies = 11991 pies
It is given that Sylvia sells x number of bottles and Sam sells three times as many bottles as Sylvia sold to his co-workers.
So, number of bottles Sam sold is 3x.
It is also given that, number of remaining bottle Sylvia and Sam have same.
So,
24 - x = 36 - 3x
3x - x = 36 - 24
2x = 12
x = 6
Therefore, Sylvia sells 6 bottles.
Hence, this is the required solution.
Answer:
Vertical asymptote: x=2
Horizontal asymptote: y=5
Step-by-step explanation:
Hi there!
The parent function for a rational function has a horizontal asymptote at y=0 and a vertical asymptote at x=0.
First, we want to perform long division on 5x/x-2. Please check the image attached.
The result is
.
Here are the transformations of a rational function:

a = vertical stretch
b = horizontal stretch
h = horizontal translation
k = vertical translation
Stretches don't change the location of the asymptotes, only the translations do.
According to
, we applied a horizontal translation of 2 units right and a vertical translation of 5 units up. Therefore, our asymptotes are now x=2 and y=5.
I hope this helps!
Here are your answers you are looking for.
That's a 240 degree sector of a 9 inch radius circle. The whole circle has area πr² and we want 240/360 of it.
A = (240/360) π (9²) = 54 π
Answer: 54 π square inches
That's the exact answer. An approximation is
169.646 square inches