Answer:
3 and 8 do not have common factors so the next time these two lessons would be at the same time is 3*8.
3*8=24
24 days from now he will have both
Step-by-step explanation:
For this case we have the following variables:
x: number of hours that it takes Mr. David to complete a job working alone.
y: number of hours it takes Mr. Ludwing to complete a job working alone.
k: number of hours it takes for both of them to do a job working together.
We now write the equation that models the problem.
To do this, we must add the work rate per hour of each and equal to the rate of work per hour of both.
![\frac{1}{x} +\frac{1}{y} =\frac{1}{k}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%7D%20%2B%5Cfrac%7B1%7D%7By%7D%20%3D%5Cfrac%7B1%7D%7Bk%7D%20%20)
We have then:
Answer:
The algebraic expression that models the problem is:
![\frac{1}{x} +\frac{1}{y} =\frac{1}{k}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%7D%20%2B%5Cfrac%7B1%7D%7By%7D%20%3D%5Cfrac%7B1%7D%7Bk%7D%20%20)
Answer: 0.0028
Step-by-step explanation:
60 minutes in 1 degree, so 1/60 = 0.01666666667
there are 60 seconds in 1 minute and 1 minute is 0.01666666667 of a degree
so 0.01666666667 divided by 60 x 10 or 0.01666666667 divided by 6 is .0028
(a) both a relation and a function
<u>Step-by-step explanation:</u>
In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain, and the set of all y-values is called the range. We must have a value of y for a value of x and so it's a relation.
Here , y = x/3 for every value of x we have a value of y as at x=1 we have y=1/3. So, it is a relation. Now, Relation is function when it passes vertical line test i.e. when we draw graph of y if we sketch many distinct vertical lines they all must cut graph at only one point and so its function. Basically, for every value of x we must have only one value of y. Y = x/3 follows the above rule and so its also a function! ∴ y=x/3 is both a relation & a function.