Answer: 2/3 books on politics
Step-by-step explanation:
The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.
Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.
= Number of politics books / Number of history books
= 4 / 6
= 2/3 books on politics
<em>Bill gave up 2/3 books on politics to get a single history book. </em>
A suitable graphing caculator gives the result
X = 15 25/39
Y = 7 6/13
Z = 4 4/39
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If you want to solve this by hand, you can add 3 times the first equation to the second to get
... 5X -2Z = 70
and 5 times the first equation to the third to get
... 8X -11Z = 80
Then Cramer's Rule tells you the solutions for X and Z are
... X = (-160+770)/(-16+55) = 610/39
... Z = (560 -400)/39 = 160/39
From there, you can substitute into any of the equations to find Y. The first one might be most convenient.
... Y = 19 -X +Z = 19 -(15 25/39) +(4 4/39) = 8 -21/39 = 7 6/13
Answer:
whats the question?
Step-by-step explanation:
Answer:
21 cm
Step-by-step explanation:
The two pieces have a length ratio of 1 : 4, so the shorter piece is 1/(1+4) = 1/5 of the total length.
105 cm/5 = 21 cm
The shorter piece is 21 cm.
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We assume you can figure out how to write only the digits of the number.
Answer:
(-3,8)
Step-by-step explanation:
Solved by graphing.
