Answer:
(C)
Step-by-step explanation:
The cost of the file is $6.15 and the cost of the pen is $8.9
<h3>Solving word problems with systems of linear equations.</h3>
The interpretation of the given word problem leads to a system of linear equations.
From the given information:
- Let the file be denoted with f and the pen be denoted with p
f + 3p = 32.85 --- (1)
2f + 8p = 83.5 --- (2)
From equation (1)
f = - 3p+32.85
Replace the value of f in the above equation into equation (2)
2(-3p + 32.85) + 8p = 83.5
2p + 65.7 = 83.5
2p = 83.5 -65.7
2p = 17.8
p = 17.8/2
p = 8.9
Replacing the value of p = 8.9 into f = - 3p+32.85
f = -3(8.9)+32.85
f = 6.15
Therefore, we can conclude that the cost of the file is $6.15 and the cost of the pen is $8.9.
Learn more about solving a system of linear equations here:
brainly.com/question/13729904
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So 70 minus 25=45
45/4=11 because you can't burn 1/4 of a song on the disk
so 11 songs
Answer:
-7
Step-by-step explanation:
y-3=-2(x+5)
So we need to put this in slope-intercept form...
y - 3 = -2x -10 (You use the distributive property)
Then shift the -3 over to meet the other constant -10 by addition.
y - 3 = -2x -10
+3 + 3
y = -2x -7 since y = mx + b is in slope intercept form m = slope and b = y intercept, therefore the y intercept is -7
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A possible answer could be 4/10.
1/2 = 5/10 + 1/10 = 6/10
10/10 - 6/10 = 4/10