22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
All this question is asking you to do is multiply 65 and 7. The 7 comes from the amount of days in a week. The product of these numbers is 455.
Maria did 455 sit-ups in a week.
Answer:
The correct option is C. 5
Therefore,
![(5^{\frac{1}{3})^{3}\ =\ \d5](https://tex.z-dn.net/?f=%285%5E%7B%5Cfrac%7B1%7D%7B3%7D%29%5E%7B3%7D%5C%20%3D%5C%20%5Cd5)
Step-by-step explanation:
Simplify
![(5^{\dfrac{1}{3})^{3}=?](https://tex.z-dn.net/?f=%285%5E%7B%5Cdfrac%7B1%7D%7B3%7D%29%5E%7B3%7D%3D%3F)
Solution:
Using Identity
![(x^{a})^{b}=x^{(a\times b)}](https://tex.z-dn.net/?f=%28x%5E%7Ba%7D%29%5E%7Bb%7D%3Dx%5E%7B%28a%5Ctimes%20b%29%7D)
So in the given expression
![x = 5\\a=\dfrac{1}{3}\\\\b=3](https://tex.z-dn.net/?f=x%20%3D%205%5C%5Ca%3D%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5Cb%3D3)
Therefore,
![(5^{\frac{1}{3})^{3}\ =\ \d5^{(\dfrac{1}{3}\times 3)}=\d5^{1}=\d5](https://tex.z-dn.net/?f=%285%5E%7B%5Cfrac%7B1%7D%7B3%7D%29%5E%7B3%7D%5C%20%3D%5C%20%5Cd5%5E%7B%28%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%203%29%7D%3D%5Cd5%5E%7B1%7D%3D%5Cd5)
Therefore,
![(5^{\frac{1}{3})^{3}\ =\ \d5](https://tex.z-dn.net/?f=%285%5E%7B%5Cfrac%7B1%7D%7B3%7D%29%5E%7B3%7D%5C%20%3D%5C%20%5Cd5)
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
Answer:
45v+36
Step-by-step explanation:
9•5v= 45v
9•4= 36
45v+36