Answer:
Step-by-step explanation:
4/x + 4/(x²-9) = 3/(x - 3)
4 / x + 4 / [( x - 3) ( x + 3 )] = 3 / ( x - 3 ) / * x ( x - 3 ) ( x + 3 )
Restrictions : x ≠ 0, x ≠ - 3 , x ≠ 3;
4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )
4 ( x² - 9 ) + 4 x = 3 x² + 9 x
4 x² - 36 + 4 x - 3 x² - 9 x = 0
x² - 5 x - 36 = 0
x² - 9 x + 4 x - 36 = 0
x ( x - 9 ) + 4 ( x - 9 ) = 0
( x - 9 ) ( x + 4 ) = 0
x - 9 = 0, or : x + 4 = 0
Answer:
x = 9, x = - 4
Answer: Yes
Step-by-step explanation:
Yes it is, your ratio would be 10.50:1
$10.50 spent on every one ticket. if you buy more than one, a fraction would still simplify down to 10.50/1.
if you were to buy the popcorn then no it wouldn't be.
Answer:
$ 9 each bottle
Step-by-step explanation:
1 crate = $45
1 crate = 25 bottles
if we want to earn $180 per crate , we have to add this value to the $45
45 + 180 = 225
if the value of the box to win $180 is $225, we have to divide the new value by 25 (number of bottles) and we will have what we will have to charge each bottle
225/25 = 9
we have to charge $ 9 each bottle to earn $ 180 per crate
b) The surface area is 564.5. Picture below.
4. Three possibilities.
Formula for volume of a cylinder: πr^2h
Formula for volume of sphere: 4/3πr^3
If the radius of the sphere is 1 inch than the volume is: 4.18879 or 4.19 rounded.
I used substitution on this website https://www.omnicalculator.com/math/volume
Just plug in the 4.18879 at the cylinder volume and put in a random number in the radius or height whichever you want then it'll give you the one you left blank. You'll find three possibilities for the radius and height of 4.18879 volume.
