Answer:
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
Step-by-step explanation:
A 14 -pound mixture of coffee that contains both decaffeinated and regular coffee costs $37. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound.
Let the number of pounds of:
Decaffeinated coffee = x
Regular coffee = y
Hence, our system of equations =
x + y = 14..... Equation
x = 14 - y
2x + 3y = 37....... Equation 2
We substitute 14 - y for x in Equation 2
= 2(14 - y) + 3y = 37
= 28 - 2y + 3y = 37
= - 2y + 3y = 37 - 28
= y = 9 pounds
Solving for x
x = 14 - y
x = 14 - 9
x = 5 pounds
Therefore,
The number of pounds of:
Decaffeinated coffee = x = 5 pounds
Regular coffee = y = 9 pounds
The second number of each set is the first number divided by 4
28 and 7. 16 and 4. 1 and .25. 20 and 5. 0 and 0.
Answer:
15 pieces
Step-by-step explanation:
5/ (1/3) = 5*3 = 15
Answer:
(2x)^3+(y)^3=(2x+y)(4x^2-2xy+y^2)
Step-by-step explanation:
a= 2x and b = y
then a^3 + b^3 = ?
We know that:
a^3+b^3 = (a + b)(a^2 – ab + b^2)
Putting a =2x and b=y and finding the answer
(2x)^3+(y)^3=(2x+y)((2x)^2-(2x)(y)+(y)^2)
(2x)^3+(y)^3=(2x+y)(4x^2-2xy+y^2)
So, (2x)^3+(y)^3=(2x+y)(4x^2-2xy+y^2)
