Question 458739: I need assistance with these homework problems please:
6) Which of the four systems can be used to solve the following problem: A coffee shop carries two blends of coffee. The first blend contains 20% Mexican coffee and 80% Columbian coffee. The second blend contains 60% Mexican coffee and 40% Columbian coffee. How many pounds of each blend should be combined to create a new blend that contains 30 pounds of Mexican coffee and 70 pounds of Columbian coffee? Let x be the amount of blend 1 and y the amount of blend 2.
(A)
.8x+.4y=70
.2x+.6y=30
(B)
.6x+.4y=70
.2x+.8y=30
(C)
.2x+.8y=30
x+y=100
(D)
.4x+.8y=70
.6x+.2y=30
I chose (A)
7) Which of the three systems can be used to solve the following problem: Last year an investment firm invested 200 million dollars in three mutual funds. Mutual fund #1 yielded a 4% return, mutual fund #2 5%, and mutual fund #3 8%. The total amount of return from the three funds was 13 million dollars. It was known that the amount invested in mutual fund #1 and mutual fund #2
combined equaled the amount invested in mutual fund #3. Let x be the amount invested in mutual fund #1, y mutual fund #2, and z mutual fund #3.
(A)
4x+5y+8z= 1300
x+y-z= 0
x+y+z= 200
(B)
0.4x+0.5y+0.8z= 13
x+y+z=200
x+y=z
(C)
x+y+z=200
x=y+z
0.04x+0.05y+0.08z=13
I chose (A)
8) The initial array corresponding to a system is (1 0 5 | -2)
(-1 1 -3 | 5)
. Which of the following is
the GENERAL solution to the system?
(A)
any real number
y=-3z-x+ 5
x=5z- 2
z= any real number
(B)
x=-2=5z
y=3-2z
z=any real number
(C)
x=-2
y=3
z=0
(D)
x=3
y=5
z=-1
I chose (B)
are these correct?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 6) Which of the four systems can be used to solve the following problem: A coffee shop carries two blends of coffee.
The first blend contains 20% Mexican coffee and 80% Columbian coffee.
The second blend contains 60% Mexican coffee and 40% Columbian coffee.
How many pounds of each blend should be combined to create a new blend that contains 30 pounds of Mexican coffee and 70 pounds of Columbian coffee?
Let x be the amount of blend 1 and y the amount of blend 2.
(A)
Columbian Coffee:::0.8x+.4y=70
Mexican Coffee:::::.2x+.6y=30
I chose (A)
GOOD
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7) Which of the three systems can be used to solve the following problem: Last year an investment firm invested 200 million dollars in three mutual funds.
---------------------
Mutual fund #1 yielded a 4% return, mutual fund #2 5%, and mutual fund #3 8%. The total amount of return from the three funds was 13 million dollars.
-----------------------------
It was known that the amount invested in mutual fund #1 and mutual fund #2
combined equaled the amount invested in mutual fund #3. Let x be the amount invested in mutual fund #1, y mutual fund #2, and z mutual fund #3.
(A)
Interest Eq::::4x+5y+8z= 1300
Quantity Eq:::: x+y-z= 0
Quantity Eq:::::x+y+z= 200
I chose (A)
GOOD
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8) The initial array corresponding to a system is
(1 0 5 | -2)
(-1 1 -3 | 5)
. Which of the following is
the GENERAL solution to the system?
(B)
x=-2-5z
y=3-2z
z=any real number
I chose (B)
are these correct?
GOOD
============================
Cheers,
Stan H.
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