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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Answer:
b, a, e, h, f
Step-by-step explanation:
just test each variable
you can skip the ones that seem obviously wrong, like c, when you figure out the pattern.
b. |-5|=|-5|
g. |-3|≠|6|
a. |3|=|3|
e. |6|=|6|
j. |2|≠|-3|
h. |6|=|-6|
f.|-3|=|-3|
Answer:
R is the line of reflection for the pair of figures.
Step-by-step explanation:
The line of reflection lies directly in the middle of the original figure and its image. In this case R is the line that lies in the middle.
Well since she's trying to get 2 trays of equal cookies you subtract like how much does 27 go into 36 once so that's how much on each tray 27
f(x) = 3/(x + 2) - √x - 3
f(7) = 3/(7 + 2) - √7 - 3
f(7) = 3/9 - √4
f(7) = 0.333 - 2
f(7) = -1.67
