Supplemental angle - Correct Answers ✅✅adds up to 180 degrees
Complementary angle - Correct Answers ✅✅adds up to 90 degrees
If 3 times x exceeds 1/3 of y by 9, which of the following is the equation
that shows the relationship between x and y? - Correct Answers
✅✅3x-1/3*y=9
Questions about how fast people can do a job together?If the first
painter can do the entire job in twelve hours and the second painter
can do it in eight hours, then (this here is the trick!) the first guy can do
1/12 of the job per hour, and the second guy can do 1/8 per hour. How
much then can they do per hour if they work together? - Correct
Answers ✅✅Take each number of hours and use 1/x amount of
hours.
,OAR EXAM QUESTION & ANSWERS 2025
Example: To find out how much they can do together per hour, I add
together what they can do individually per hour: 1/12 + 1/8 = 5/24.They
can do 5/24 of the job per hour. Now I'll let "t" stand for how long they
take to do the job together. Then they can do 1/t per hour, so 5/24 =
1/t. Flip the equation, and you get that t = 24/5 = 4.8 hours.
1/12 + 1/8 = 1/t
5/24 = 1/t
24/5 = t
=4.8 hours
One pipe can fill a pool 1.25 times faster than a second pipe. When
both pipes are opened, they fill the pool in five hours. How long would
it take to fill the pool if only the slower pipe is used? - Correct Answers
✅✅hours to complete job:
fast pipe: f
slow pipe: 1.25f
together: 5
completed per hour:
fast pipe: 1/f
slow pipe: 1/1.25f
, OAR EXAM QUESTION & ANSWERS 2025
together: 1/5
adding their labor:
1/f + 1/1.25f = 1/5
multiplying through by 5f:
5 + 5/1.25 = f
5+4=f=9
Then 1.25f = 11.25, so the slower pipe takes 11.25 hours.
How much pure acid must be added to 12 ounces of a 40% acid solution
in order to produce a 60% acid solution? - Correct Answers
✅✅P1*V1 + P2*V2 = P3*V3
P1*V1 would be X*1
P2*V2 is volume of first*percentage of first
P3*V3 = (X+volume of first solution)*volume of final
solve for X
100x + 480 = 60(12+x), x=6
A can complete a project in 20 days and B can complete the same
project in 30 days. If A and B start working on the project together and
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller natashamary2001. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $16.55. You're not tied to anything after your purchase.