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The question is missing some important details required to answer the question. I found a similar question, so I will answer using this details. If there is any differences in the details, you can still use my working by changing the value given:
Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an idditional $0.11 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.07 per mile driven.
How many miles would Abdul need to drive for the two plans to cost the same?
Answer:
275 miles
Step-by-step explanation:
Let the distance travel be X
First plan:
Initial fee: 38
Per mile: 0.11
So the total cost is
C1 = 38 + 0.11X
Second plan:
Initial fee: 49
Per mile:0.07
So the total cost is
C2 = 49 + 0.07X
Since the question asked about when the total cost be the same, we can say that C1 = C2
C1 = C2
38 + 0.11X = 49 + 0.07X
0.11X - 0.07X = 49 - 38
0.04X = 11
X = 11/0.04 = 275
At 275 miles, the cost will be the same.
Answer:
-9 1/4
Step-by-step explanation:
-5 3/4 - 3 1/2
Get a common denominator
-5 3/4 - 3 1/2 *2/2
-5 3/4 - 3 2/4
-8 5/4
Rewritng
-8 4/4 - 1/4
-9 1/4
Answer:
Step-by-step explanation:
Hello,
a. The area of region P is the area of the rectangle 1 * e minus the
![\displaystyle \int\limits^0_1 {e^x} \, dx=[e^x]^{1}_{0}=e-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5Ex%7D%20%5C%2C%20dx%3D%5Be%5Ex%5D%5E%7B1%7D_%7B0%7D%3De-1)
So this is e - (e-1) = e - e + 1 = 1
b. The area of region P is the area of the rectangle 1 * e minus P and minus the
![\displaystyle \int\limits^0_1 {e^{-x}} \, dx=[-e^{-x}]^{1}_{0}=-e^{-1}+1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint%5Climits%5E0_1%20%7Be%5E%7B-x%7D%7D%20%5C%2C%20dx%3D%5B-e%5E%7B-x%7D%5D%5E%7B1%7D_%7B0%7D%3D-e%5E%7B-1%7D%2B1)
So this is
This is around 1.08616127...
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
Step-by-step explanation:
The top triangle is similar to the whole triangle because of AAA
Then we know that the corresponding sides are similar
9/81=(3x-20)/(3x-20+56)
1/9=(3x-20)/(3x+36)
cross multiply
9(3x-20)=3x+36
27x-180=3x+36
24x=216
x=9
