<span>Let the nickels be x and the dimes be y
x + y = 24
5x + 10y = 185
5x + 5y = 120
5y = 65
y=13
x=11
Answer: 11 nickels and 5 dimes</span>
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.
Answer:
It is because you have to get rid of the power of 2 from c. In order to get rid, you have to square root it on both sides :
c² = 74
√(c²) = √74
c^(1/2×2) = √74
c = √74
Using Indices formula, (a^m)^n = a^(mn)
Answer:
7.75%
Step-by-step explanation:
7
%
7.75%
Your answer would be 6 ft
you already know that Alyssa is 1 1/2 feet tall which is 1/4 of tammy's height.
so you will take 1 1/2 x 4 (the number of 1/4's needed to get a whole number) = 6 feet