Answer:
18 pounds of cashews are needed.
Step-by-step explanation:
Given;
A manager bought 12 pounds of peanuts for $30.
Price of peanut per pound P = $30/12 = $2.5
Price of cashew per pound C = $5
Price of mixed nut per pound M = $4
Let x represent the proportion of peanut in the mixed nut.
The proportion of cashew will then be y = (1-x), so;
xP + (1-x)C = M
Substituting the values;
x(2.5) + (1-x)5 = 4
2.5x + 5 -5x = 4
2.5x - 5x = 4 -5
-2.5x = -1
x = 1/2.5 = 0.4
Proportion of cashew is;
y = 1-x = 1-0.4 = 0.6
For 12 pounds of peanut the corresponding pounds of cashew needed is;
A = 12/x × y
A = 12/0.4 × 0.6 = 18 pounds
18 pounds of cashews are needed.
AC = 8.9
BC = 6.5
(90% angle)
8.9 x 6.5 = <span>57.85
57.85/2 = 28.925
Area of ^ABC = 28.925 cm squared
DE = 55.1
55.1/ 11.02 = 5
DEF is 5 times as big as ABC
DF = 44.5
FE = 32.5
44.5 x 32.5 = 1446.25
1446.25/2 = 723.125
I am not positive but I believe DEF = 723.125 cm squared
Good Luck on the Test!! :D
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<h2>
Answer:</h2>
Our functions are:

To solve this, we must use the expression g(-10) - f(3).
![-\frac{3}{2}(-10) + 12 - [-5(3)] + 12\\\\15 + 12 - [-5(3)] + 12\\\\15 + 12 - (-15) + 12\\\\27 - (-15) + 12\\\\42 + 12\\\\54](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B2%7D%28-10%29%20%2B%2012%20-%20%5B-5%283%29%5D%20%2B%2012%5C%5C%5C%5C15%20%2B%2012%20-%20%5B-5%283%29%5D%20%2B%2012%5C%5C%5C%5C15%20%2B%2012%20-%20%28-15%29%20%2B%2012%5C%5C%5C%5C27%20-%20%28-15%29%20%2B%2012%5C%5C%5C%5C42%20%2B%2012%5C%5C%5C%5C54)
The value of the expression g(-10) - f(3) is <em>15</em>.