Solve as a fraction in lowest terms 1/4 + 5/6
1 answer:
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Answer:
See the image attachment. It shows the three inequalities
the inequalities are all stacked on each other with a large curly brace written off to the left
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Explanation:
Let,
m = number of miles Tracy runs
s = number of scrimmage games Tracy plays
m and s are integers
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Each mile takes 6 minutes, so running m miles takes up a total of 6m minutes.
Each scrimmage game takes 30 minutes, so in total she uses up 30s minutes of time if the number of games she plays is 's'.
In total, Tracy uses up 6m+30s minutes running and playing scrimmage games. The max time allotted for her is 2 hours or 120 minutes. Therefore, is one inequality that makes up the system of inequalities.
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We know that 'm' is positive, and we also know that m cannot get larger than 5, so we can write . This says "m is between 0 and 5 including both endpoints".
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For similar reasons in the last section above, we also know that 's' is positive as well; however we have no upper bound restrictions on 's'. So we simply say
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Overall, the system of inequalities has these three inequalities:
they are all stacked on each other and written with a large curly brace to the left hand side of this stack. The large curly brace is just a way of keeping things together in a group or collection so to speak. A paired right curly brace is not included.
A visual reference of the answer is attached as an image below, just so you can see what I mean by the large curly brace.
Answer:
20,21
Step-by-step explanation:
Let x be the first number.
Let y be the 2nd number.
Given y - x = 1 (since they are consecutive)
Rearrange it: y = x+1 (equation 1)
Also given:
(equation 2)
Now we can substitute y = x + 1 into equation 2.
Since we know x, the smaller number is 20, we can substitute to equation 1 to find y, the larger number.
y = 20+1
= 21.
Therefore the 2 numbers are 20 and 21.