9514 1404 393
Answer:
8 gallons
Step-by-step explanation:
The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...
$2/($0.25/gal) = 8 gal
to make the costs the same.
The customer must purchase 8 gallons for the total cost to be the same at both gas stations.
___
3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash
0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides
g = 2/.25 = 8 . . . . . . the way we did it above
This is my way of doing it...
Rearrange the equation to -x^2+4x+3
Then -(x^2 - 4x) + 3
-[(x-2)^2 - 4] +3
-[(x-2)^2] +4+3
-(x-2)^2 + 7
final answer : y=7-(x-2)^2
Answer:
15mph
Step-by-step explanation:
So to figure this out you have to get the total unit rate by dividing 30 and 2 which in total gives you 15
So congratulations you can ride 15 miles per hour :)
Answer:
I think they are similar by SAS.
Step-by-step explanation:
Both triangles may not be the same size, but they have similar sides and similar angles.
We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.
We will use exponential growth formula to solve our given problem.
, where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
![75\%=\frac{75}{100}=0.75](https://tex.z-dn.net/?f=75%5C%25%3D%5Cfrac%7B75%7D%7B100%7D%3D0.75)
Upon substituting initial value
and
in above formula, we will get:
![y=4\cdot (1+0.75)^{12}](https://tex.z-dn.net/?f=y%3D4%5Ccdot%20%281%2B0.75%29%5E%7B12%7D)
![y=4\cdot (1.75)^{12}](https://tex.z-dn.net/?f=y%3D4%5Ccdot%20%281.75%29%5E%7B12%7D)
![y=4\cdot 825.0050068497657776](https://tex.z-dn.net/?f=y%3D4%5Ccdot%20825.0050068497657776)
![y=3300.020027](https://tex.z-dn.net/?f=y%3D3300.020027)
![y\approx 3300](https://tex.z-dn.net/?f=y%5Capprox%203300)
Therefore, there will be approximately 3300 cells at the end of 12 hours.