6x6 to find the probability for every single roll which is 36.
Ways to make 5 ; 1+4, 4+1, 2+3, 3+2. 4 ways, therefore it’s 4/36 which simplifies to 1/9
Let
be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use
gal of the 70% solution.
You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means




so the answer is B.
There are 7 sides available.
The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)
This means that drink x sides x sandwiches = 560. We know there are 16 sandwiches and 5 drinks. Let S be the number of sides:
15(6)(S) = 560
80S = 560
Divide both sides by 80:
80S = 560/80
S = 7
Hello again! So we will be using the pythagorean theorem (

) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

Solve the exponents to get

Subtract 289 on each side to get

Lastly, square root each side of the equation and your answer should be

(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract

from 31. And since there are 2 triangles, you'll need to multiply

by 2.
In short, x = 14.0