Complete Question
Talia attended a 5 -day math camp that lasted 5/6 of an hour each day. How many hours did Talia spend at the math camp?
Answer:
4 1/6 hours
Step-by-step explanation:
1 day = 5/6 hour
5 days = x
Cross Multiply
x = 5/6 × 5 days
x = 25/6 hours
x = 4 1/6 hours
Therefore, Talia spent 4 1/6 hours at camp.
Answer:
Step-by-step explanation:
First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.
6x + 10 - 2x = 7 + 23
4x + 10 = 7 + 23
4x + 10 = 30
Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.
4x + 10 = 30
4x = 20
x = 5 is the final answer.
Integral of 2sin(2x) is -cos(2x)
from 0 to pi/2 (sub pi/2 minus sub 0 for x) and then solve
= -cos(2*pi/2)-(-cos0)
= -cos pi + cos 0
= 1 + 1
= 2