Answer:
Step-by-step explanation:
If there are 48 books on shelves
Then number of books in 12 shelves
= 48 ÷ 12 = 4 books
Answer:
Michael worked for 5.5 hours.
Step-by-step explanation:
Total money earned = $74.25
Money Earned in tips = $38.50
Cost per hour = $6.50
Let number of hours he worked be x.
We need to find total hours he worked.
It can be find by;
Total money he earned is equal to Cost per hour multiplied by number of hours he worked plus money earned in tips.
Hence;
Cost per hour × number of hours he worked + Money Earned in tips = Total money earned
Computing in mathematical form we get;
![6.5x+38.50 = 74.25\\6.5x = 74.25-38.50\\6.5x=35.75\\\\x= \frac{35.75}{6.5} =5.5](https://tex.z-dn.net/?f=6.5x%2B38.50%20%3D%2074.25%5C%5C6.5x%20%3D%2074.25-38.50%5C%5C6.5x%3D35.75%5C%5C%5C%5Cx%3D%20%5Cfrac%7B35.75%7D%7B6.5%7D%20%3D5.5)
Hence Micheal worked for 5.5 hours.
Answer:
The slope of the line representing the linear function f(x) is determined as
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as
![$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%24)
So, substitute
for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,![$m=\frac{4-3}{0-2}$\\ $m=\frac{1}{-2}$\\ $m=-\frac{1}{2}$](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7B4-3%7D%7B0-2%7D%24%5C%5C%20%24m%3D%5Cfrac%7B1%7D%7B-2%7D%24%5C%5C%20%24m%3D-%5Cfrac%7B1%7D%7B2%7D%24)
The slope of the line is obtained as
. Now, as
, so the function f(x) is decreasing.
5.97 * 10^24 - 4.87 * 10^24 = 1.1 * 10^24
Answer:
Gayatri got the larger part