Get the common denominator
1 answer:
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We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.
This means that we need to find the time he spends in sleeping when he is in the school.
Therefore, we have to add the time he spends in sleeping and the time he spends in school.
Therefore, required fraction is given by
Now in order to add the fractions, we have to make the denominator same.
Multiply the numerator and denominator of first fraction by 8 to make the same denominator.
Now, we have the same denominator hence, we can add the numerator
Therefore, Tim spends 15/24 hours each weekday sleeping in the school.
Answer:
See below:
Step-by-step explanation:
To find the slope, we use the following formula:
For this case, we can use (6,60) as the first set of points.
We can use (4,70) as the second set of points.
Now, we can use the formula, 70-60 is for the top of the fraction (10)
We can do 4-6 to find the bottom, which is (-2)
Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!
To find out the y intercept, it in simple words is "What is y when x is 0?".
We can do that by using the slope intercept formula: .
Once we insert our slope which is -2 we get:
We can now substitute a point, lets use (6,60) so we can find out b.
We now get the equation: .
If we solve for that we get 90!
Once we input that, we get,
Now we put in x as 0 and we get our y intercept as 90!
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