19-13p=-17p-5
+5 +5
24-13p=-17p
+13p +13p
24=-4p
/-4 /-4
-6=p
I assume you mean 9+52,
If so you can add the 9 and the 2 together:
9+2 = 11
Then you can add the 11 on to the 50 to get the final answer:
50+11 = 61
Hope this helps! :)
Answer:
your have less bedroom to work with.
(or this is a trick question and the answer is you have the same amout of room no matter what you put in it)
Step-by-step explanation:
A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.
B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.
how many months for the cost to be the same?
![\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4](https://tex.z-dn.net/?f=%5Cstackrel%7BA%7D%7B12%2B28m%7D%3D%5Cstackrel%7BB%7D%7B20%2B26m%7D%5Cimplies%2012%2B2m%3D20%5Cimplies%202m%3D8%5Cimplies%20m%3D%5Ccfrac%7B8%7D%7B2%7D%5Cimplies%20m%3D4)
well, since the cost for both is the same, we can just get A's, knowing that B is the same
![12+28(4)\implies 12+112\implies 124](https://tex.z-dn.net/?f=12%2B28%284%29%5Cimplies%2012%2B112%5Cimplies%20124)
Answer:
a. ![9a^3 - 9ab^2](https://tex.z-dn.net/?f=%209a%5E3%20-%209ab%5E2%20)
b. ![9a(a^2 - b^2)](https://tex.z-dn.net/?f=%209a%28a%5E2%20-%20b%5E2%29%20)
Step-by-step explanation:
a.
![Volume = l*w*h](https://tex.z-dn.net/?f=%20Volume%20%3D%20l%2Aw%2Ah%20)
![Volume_{smaller} = l*w*h](https://tex.z-dn.net/?f=%20Volume_%7Bsmaller%7D%20%3D%20l%2Aw%2Ah%20)
Where, ![l = 9a, w = b, h = b](https://tex.z-dn.net/?f=%20l%20%3D%209a%2C%20w%20%3D%20b%2C%20h%20%3D%20b%20)
![Volume_{smaller} = 9a*b*b = 9ab^2](https://tex.z-dn.net/?f=%20Volume_%7Bsmaller%7D%20%3D%209a%2Ab%2Ab%20%3D%209ab%5E2%20)
![Volume_{larger} = l*w*h](https://tex.z-dn.net/?f=%20Volume_%7Blarger%7D%20%3D%20l%2Aw%2Ah%20)
Where, ![l = 9a, w = a, h = a](https://tex.z-dn.net/?f=%20l%20%3D%209a%2C%20w%20%3D%20a%2C%20h%20%3D%20a%20)
![Volume_{smaller} = 9a*a*a = 9a^3](https://tex.z-dn.net/?f=%20Volume_%7Bsmaller%7D%20%3D%209a%2Aa%2Aa%20%3D%209a%5E3%20)
Volume of the shaded figure = ![9a^3 - 9ab^2](https://tex.z-dn.net/?f=%209a%5E3%20-%209ab%5E2%20)
b.
expressed in factored form:
Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.
![9a^3 - 9ab^2 = 9a(a^2 - b^2)](https://tex.z-dn.net/?f=%209a%5E3%20-%209ab%5E2%20%3D%209a%28a%5E2%20-%20b%5E2%29%20)