Answer: charlene:52, aaron:44
Step-by-step explanation:
Add 8 to aarons age and you find your answer
8x8 is 64 for the base. Then, 12x8 is 96 divided by 2 is 48, so the surface area of one side triangle is 48x4 is 192 and add the base of 64 and you get 256.
Answer:
45
Step-by-step explanation:
Use the geometric sum formula for in infinite sum. 20 terms of this basic formula is close enough The 20th term is 8.6 * 10^-10 which means this goes out to a number with 9 zeros after the decimal and before the 8.
Put another way, the tenth number of this series is the only one affected.
When you use a spreadsheet, it seems to know that the answer is 3/2 as the solution to the sum.
Solution.
Sum = a / (1 - r)
a = 1
r = 1/3
Sum = 1 / (1 - 1/3)
Sum = 1 // 2/3
sum = 3/2
Now you can worry about the 30.
30 * sum(1/3)^n = 30* 3/2 = 45
If there is something you want more information on, leave a note.
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
Answer:
3 gallons
Step-by-step explanation:
Let
x ----> the amount of pure acid (100% solution) in gallons
Remember that
we know that
solve for x
therefore
3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in order to get a 60% acid solution
