Answer:
mary=10 jack=15
Step-by-step explanation:
After 4 years Mary (x+4), Jack's age (x+5) + 4.
sum of the ages after 4 years :(x+4) + (x+5) +4=33
Simplifying the equation:
2x+13 = 33 ----->> 2x=20----->>>>x = 10 Mary's age
10 + 5 = 15 which is Jack's age.
Answer:
c. 42 miles per day
Step-by-step explanation:
From the information given, you can use a rule of three to calculate the constant rate that Kendra swims per day given that she swims 126 miles in 3 days:
3 days → 126 miles
1 day → x
x=(1*126)/3=42 miles
According to this, the answer is that Kendra swims 42 miles per day.
Answer:
Step-by-step explanation:
We are given that a function
We have to find the average value of function on the given interval [1,e]
Average value of function on interval [a,b] is given by
Using the formula
By Parts integration formula
u=ln x and v=dx
Apply by parts integration
![f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28%5Bxlnx%5D%5E%7Be%7D_%7B1%7D-%5Cint_%7B1%7D%5E%7Be%7D%28%5Cfrac%7B1%7D%7Bx%7D%5Ctimes%20xdx%29%29)
![f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})](https://tex.z-dn.net/?f=f_%7Bavg%7D%3D%5Cfrac%7B1%7D%7Be-1%7D%28elne-ln1-%5Bx%5D%5E%7Be%7D_%7B1%7D%29)
By using property lne=1,ln 1=0
Answer:
25%
Step-by-step explanation:
formula for percent markup/discount= absulute value of original-new/original
plug the numbers is
(2.40-3.00/2.40) absolute value=0.25
0.25 as a percent is 25%
Answer:
Show a picture so I can help
