Answer:
45 minutes
Step-by-step explanation:
let after t hours they meet after the second runner starts.
15 minutes=1/4 hour.
6(t+1/4)=8t
6t+6/4=8t
8t-6t=6/4
2t=3/2
t=3/2* 1/2=3/4 hours=45 minutes
Answer:
2 5/6
Step-by-step explanation:
2 2/4 + 1/3
First, you have to make the bottoms of the fraction the same, by figuring out the lowest common denominator. In this case it would be 12. 4x3 = 12. 3x4 = 12.
Multiply the top number by the same number you multiplied the bottom by.
We multiplied the 4 by 3, so we would also multiply the 2 by 3 (which would be 6).
Do the same for the second fraction. 1x4 = 4.
Now we have 2 6/12 + 4/12. We add the top numbers together and we get 10/12.
Now we have to reduce the fractions. We can do this in this situation by just dividing the top and bottom numbers by 2.
2 5/6
Answer:
Required solution (a)
(b) 40.
Step-by-step explanation:
Given,

(a) Let,

Then,

Integrating
we get,

Differentiate this with respect to y we get,
compairinfg with
of the given function we get,

Then,

Again differentiate with respect to z we get,

on compairing we get,
(By integrating h'(z)) where C is integration constant. Hence,

(b) Next, to find the itegration,

5 times 10.50 = $52.5
An additional $45
3 times 22 = $66
An other additional $65
The total price her shopping list costs is 229.5
Now, $300 - $229.5 = $70.5
Teri will have $70.50 left after buying these items.