Answer:
40 pounds of nuts worth $1.60
60 pounds of nuts worth $1.85
Step-by-step explanation:
This is a mixture problem, so see the attachment below:
<u><em>*Sorry if it's unclear, but I hope it helps!</em></u>
Find the powers 
$a^{2}=5+2 \sqrt{6}$
$a^{3}=11 \sqrt{2}+9 \sqrt{3}$
The cubic term gives us a clue, we can use a linear combination to eliminate the root 3 term $a^{3}-9 a=2 \sqrt{2}$ Square $\left(a^{3}-9 a\right)^{2}=8$ which gives one solution. Expand we have $a^{6}-18 a^{4}-81 a^{2}=8$ Hence the polynomial $x^{6}-18 x^{4}-81 x^{2}-8$ will have a as a solution.
Note this is not the simplest solution as $x^{6}-18 x^{4}-81 x^{2}-8=\left(x^{2}-8\right)\left(x^{4}-10 x^{2}+1\right)$
so fits with the other answers.
Answer:
Distributive property
Step-by-step explanation:
3(2 − 3x) + 4x = x − 7
Distribute the 3 to each term in the parentheses using the distributive property
6 -9c +4x = x-7
It is 54 because you have to do 9 multipied by 6 because a hexagon has 6 sides therefore it is 54