The unknown number is 108.
Step-by-step explanation:
Step 1:
Assume the unknown number is x.
We create an equation from the given data.
One-fourth of the number is
, seven less than one-fourth of the number is
. Two times the quantity of seven less than one-fourth of a number is therefore
.
One-third of the number is
, four more than one-third of the number is given by
.
Step 2:
We substitute both equations to determine the value of x.
![2(\frac{1}{4} x -7) = \frac{1}{3} x + 4.](https://tex.z-dn.net/?f=2%28%5Cfrac%7B1%7D%7B4%7D%20x%20-7%29%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%204.)
![(\frac{2}{4} x -2(7)) = \frac{1}{3} x + 4.](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B4%7D%20x%20-2%287%29%29%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%204.)
![\frac{1}{2} x -14 = \frac{1}{3} x + 4.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x%20-14%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20x%20%2B%204.)
![\frac{1}{2} x - \frac{1}{3} x = 4+14 = 18.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x%20-%20%5Cfrac%7B1%7D%7B3%7D%20x%20%3D%204%2B14%20%3D%2018.)
![\frac{1}{6} x = 18.](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%20x%20%3D%2018.)
![x= 6(18) = 108.](https://tex.z-dn.net/?f=x%3D%206%2818%29%20%3D%20108.)
So the unknown number is 108.
Answer:
-3
Step-by-step explanation:
use the power rule to solve this
Answer:
D, irrational numbers,
Step-by-step explanation:
75 is part of all groups except irrational numbers, it is an integer, a whole number and a natural number..
Answer:
2/3
Step-by-step explanation:
there are more burgers than people so 23 for each will work
1.)
=(x-8i)(x+8i)
x^2+8ix-8ix-64i^2
x^2-64i^2
x^2-64(-1)
x^2+64
2.)
=(4x-7i)(4x+7i)
16x^2+28ix-28ix-49i^2
16x^2-49i^2
16x^2-49(-1)
16x^2+49
3.)
=(x+9i)(x+9i)
x^2+9ix+9ix+81i^2
x^2+18ix+81(-1)
x^2+18ix-81
4.)
=(x-2i)(x-2i)
x^2-2ix-2ix+4i^2
x^2-4ix+4(-1)
x^2-4ix-4
5.)
=[x+(3+5i)]^2
(x+5i+3)^2
(x+5i+3)(x+5i+3)
x^2+5ix+3x+5ix+25i^2+15i+3x+15i+9
x^2+6x+10ix+30i+25i^2+9
x^2+6x+10ix+30i+25(-1)+9
x^2+6x+10ix+30i-25+9
x^2+6x+10ix+30i-16
Hope this helps :)