Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
Answer:
21
Step-by-step explanation:
when p is 4
p² + 5 = 4² + 5
16 + 5 = 21
Answer:
A. The coefficients of the sum are whole numbers and the sum is a polynomial.
Step-by-step explanation:
The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:
1) 
, 
Given
2) 
Definition of addition
3) ![(5\cdot m +2\cdot m ) +[(-3)+4]](https://tex.z-dn.net/?f=%285%5Ccdot%20m%20%2B2%5Ccdot%20m%20%29%20%2B%5B%28-3%29%2B4%5D)
Definition of substraction/Associative and Commutative properties
4) 
Distributive property/Definition of substraction
5) 
Definition of addition/Result
Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.
Answer:
(6,4)
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