Answer:
and ![y=45](https://tex.z-dn.net/?f=y%3D45)
Step-by-step explanation:
To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is
. For the next equation, it says that the difference of those same numbers is 1, which means that the equation is
. Now, putting those two together for the system of equations, it's easiest to add them. The result will be
which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.
Hope this helped!
We have the following equation:
V = (1/3) * (pi) * (r ^ 2) * (h)
To clear r we must follow the following steps:
1) Divide both sides of the equation by pi*h
2) Multiply both sides of the equation by 3
3) take de square root of both sides of the equation
There are 1 new released movie and 4 regular movies
3+2=$5 : 1 new movie
2+2+2+2= $8 : 4 regular
total cost: $13
Answer:
<h2>1. The remainder is 0.</h2><h2>2. Remainder = -3715</h2><h2>3. Remainder
= 4</h2><h2>4.
Remainder =
-4000</h2><h2>5.
Remainder =
4</h2>
Step-by-step explanation:
1.
After dividing 4563 by 9, we are getting 507 as answer. That is the quotient is 507.
Multiplying 507 by 9 we get,
= 4563
Hence, the remainder is 0.
2.
The basic rule of division is,
.
As per the given question dividend = 848, divder = 9 and quotient = 507.
Hence,
848 =
=
=
= - 3715
3.
Here 1922 is the dividend.
= 1918
Remainder = 1922 - 1918 = 4
4.
= 24040
Remainder = 20040 - 24040 = -4000
5.
= 729
Remainder = 733 -729 = 4
Answer:
9. ![\\-(2b-7a)(b+a)](https://tex.z-dn.net/?f=%5C%5C-%282b-7a%29%28b%2Ba%29)
10. ![mn(m^{2}-3mn+8n^{2} )](https://tex.z-dn.net/?f=mn%28m%5E%7B2%7D-3mn%2B8n%5E%7B2%7D%20%29)
Step-by-step explanation:
9. ![-2b^{2} +5ab+7a^{2}\\](https://tex.z-dn.net/?f=-2b%5E%7B2%7D%20%2B5ab%2B7a%5E%7B2%7D%5C%5C)
Write 5ab as a difference.
![-2b^{2} -2ab+7ab+7a^{2}\\](https://tex.z-dn.net/?f=-2b%5E%7B2%7D%20-2ab%2B7ab%2B7a%5E%7B2%7D%5C%5C)
Factor out the greatest common factor (GCFs).
![-2b(b+a)+7a(b+a)\\\\-(2b-7a)(b+a)](https://tex.z-dn.net/?f=-2b%28b%2Ba%29%2B7a%28b%2Ba%29%5C%5C%5C%5C-%282b-7a%29%28b%2Ba%29)
10. ![-3m^{2} n^{2} +8mn^{3}+m^{3}n](https://tex.z-dn.net/?f=-3m%5E%7B2%7D%20n%5E%7B2%7D%20%2B8mn%5E%7B3%7D%2Bm%5E%7B3%7Dn)
Factor out the GCF which would be mn.
Rewrite.
![mn(m^{2}-3mn+8n^{2} )](https://tex.z-dn.net/?f=mn%28m%5E%7B2%7D-3mn%2B8n%5E%7B2%7D%20%29)