For problems such as this, it can be handy to remember that
.. 1/(1/a +1/b) = ab/(a +b)
The time required to do a job is the inverse of the rate at which the job is done. Rates are added when people work together (in math problems, not in real life).
(2:44)*(3:14)/(2:44 +3:14) = 1:28:52.3
___
2:44 = 41/15 hours = 82/30 hours
3:14 = 97/30 hours
Using the formula above, we have a "working together" time of
.. (82/30)*(97/30)/(82/30 +97/30) = 82*97/(30*179) = 3977/2685 . . . hours
.. = 1 hour 28 156/179 minutes
.. = 1 hour 28 minutes 52 52/179 seconds
___
Learn to use the fraction functions on your calculator. They can be very helpful.
For this case we must simplify the following expression:

We eliminate the parentheses taking into account that:

So, we have:

We add similar terms taking into account that:
Different signs are subtracted and the sign of the major is placed:

Answer:

Our goal is to find the area
area=1/2 times base times height
we know the height is 7.9 but what is the base?
use the pythagorean theorem twice
alrighty
so
remember for legs length a and b and hytponuse c in a right triangle
a²+b²=c²
we need AD and DC
so
AD²+7.9²=9.4²
AD=√25.95
DC²+7.9²=23.2²
DC=√475.83
so
AD+DC=base=(√25.95)+(√475.83)
area=1/2bh
area=1/2((√25.95)+(√475.83))(7.9)
area≈106.28518654591426812803776879893
round to 2 decimal places
area≈106.29 square units
Answer:
18x = 7.2
x =.4
Step-by-step explanation:
Let x = the weight of one box
We have 18 boxes that weigh 7.2 lbs
18x = 7.2
Divide each side by 18
18x/18 = 7.2/18
x =.4
<u>First let's calculate the exponents.</u>

<u>Now we should multiply and divide.</u>
<u />
<u />
<u>Now we should add and subtract.</u>
<u />
<u />
<u>Convert the improper fractions into mixed numbers.</u>
<u />
<u />
<u />
<u>Answer : </u>
<u />
<u />
<u />