Answer: Jared guests ate = 8 1/2 cups of the snack mix.
Step-by-step explanation:
Total snack mix made by Jared = 12 3/4 CUPS
Amount eaten by guests = 2/3 of Total snack mix
which means they ate = 2/ 3 x12 3/4
= 2/3 x 51/ 4
=17/2 = 8 1/2 cups of snack mix.
Jared guests ate 8 1/2 cups of the snack mix.
30,816 books would go into 1,284 containers which would weigh 15,408kg with all the books in them or 2,568kg with the books not in them.
Answer:
6
Step-by-step explanation:
I'm not sure if you mean whether a = -3, but if you are to plug in -3 for a you should get:
Answer:
The roots are {-4, 2}.
Step-by-step explanation:
It seems strange to have x terms on both sides of your equation. If this is indeed the correct equation, then
x^2-x-8=-3x becomes x^2 +3x - x - 8= 0, and this latter result simplifies to
x^2 + 2x - 8 = 0.
One set of factors of -8 is {-2, 4} and another is {1, -8). Hence we could try evaluating this quadratic at x = 4:
4^2 + 2(4) - 8 = 16 (since this is not zero, 4 is not a root and (x - 4) is not a factor.
Try x = -4 instead:
(-4)^2 + 2(-4) - 8 = 0 simplifies to 16 - 8 - 8 = 0, which is true.
Then x + 4 is a factor and x - 2 is another. Multiplying these two together as a check results in the given x^2- x - 8 = -3x.
The roots are {-4, 2}.