Answer:
Roads that meet at intersections in which create a right angle
Hospital crosses.
Step-by-step explanation:
Answer:
X = -3. non-extraneous
Step-by-step explanation:
The given equation is ![\frac{6}{x-3} =\frac{x}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bx-3%7D%20%3D%5Cfrac%7Bx%7D%7B3%7D)
We cross multiply to get:
![6*3=x(x-3)](https://tex.z-dn.net/?f=6%2A3%3Dx%28x-3%29)
Expand and multiply.
![18=x^2-3x](https://tex.z-dn.net/?f=18%3Dx%5E2-3x)
![x^2-3x-18=0](https://tex.z-dn.net/?f=x%5E2-3x-18%3D0)
We factor to obtain:
![(x-6)(x+3)=0](https://tex.z-dn.net/?f=%28x-6%29%28x%2B3%29%3D0)
![x=-3,x=6](https://tex.z-dn.net/?f=x%3D-3%2Cx%3D6)
Checking for extraneous solutions
Substitute x=-3 ![\frac{6}{-3-3} =\frac{-3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B-3-3%7D%20%3D%5Cfrac%7B-3%7D%7B3%7D)
![\frac{6}{-6} =\frac{-3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B-6%7D%20%3D%5Cfrac%7B-3%7D%7B3%7D)
![-1=-1](https://tex.z-dn.net/?f=-1%3D-1)
.....Non-extraneous
Checking for x=6
![\frac{6}{6-3} =\frac{6}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B6-3%7D%20%3D%5Cfrac%7B6%7D%7B3%7D)
![\frac{6}{3} =\frac{6}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B3%7D%20%3D%5Cfrac%7B6%7D%7B3%7D)
....Non-extraneous
All you’re doing is subtracting $15.35 from $20.00. After you get the answer, add $1.25 as many times as possible before it exceeds the number you got from the first subtraction.
$20.00 - 15.35 = $4.65
$1.25 x 3 = $3.75
(Anything over $3.75 would require additional money, so you couldn’t buy any more chocolate bunnies than 3.)
You could buy 3 chocolate bunnies after purchasing 1 dozen tulips for $15.35 with the remaining $4.65 you have left.
I struggle with math myself, so I’d recommend working it out on your own instead of pasting online answers because it pays off in the end! <3
<span>The way I understand this question is: "how many of one eights (1/8) can fit into 3/4 - so mathematically we would write: 3/4 divided by 1/8. Dividing by a fraction is multiplying by its inverse, so we have 3/4 multiplied by 8, which is 3*8/4, we simplify by dividing 8 and 4 by 4: 6/1, that is 6 - the answer is 6!Hope this helps. Let me know if you need additional help!</span><span />