Let
![x](https://tex.z-dn.net/?f=x)
be the average salary of an employee. Since the salary of the business man is 6 times the average salary of an employee, his salary will be
![6x](https://tex.z-dn.net/?f=6x)
. We also know that the sum of the salary of the businessman and the average salaries of his 10 employees is 640000, so:
![6x+10x=64000](https://tex.z-dn.net/?f=6x%2B10x%3D64000)
Solving for
![x](https://tex.z-dn.net/?f=x)
:
![16x=64000](https://tex.z-dn.net/?f=16x%3D64000)
![x= \frac{64000}{16}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B64000%7D%7B16%7D%20)
![x=4000](https://tex.z-dn.net/?f=x%3D4000)
The average salary of an employee is 4000, so the salary of the businessman will be
![6*4000=24000](https://tex.z-dn.net/?f=6%2A4000%3D24000)
.
We can conclude that the business man's salary that year was 24000.
Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.
Step-by-step explanation:
Answer:
7 -1 6 | -8
7 -5 7 | 1
0 1 -4 | -5
Step-by-step explanation:
Note that there are four columns in this system, representing the variables x, y and z and constants. So the given matrix pattern is appropriate: It has three columns for the coefficients of x, y and z and one column for the constants.
We need only identify the coefficients and transfer them into the appropriate boxes of the matrix pattern.
We get:
7 -1 6 -8
7 -5 7 1
0 1 -4 -5
Solution:
The amount of squash she picked on Monday is
![=7.85](https://tex.z-dn.net/?f=%3D7.85)
The amount of squash she picked on Tuesday is
![=4.63](https://tex.z-dn.net/?f=%3D4.63)
The amount she used to make soup is
![=5.27](https://tex.z-dn.net/?f=%3D5.27)
Concept:
To calculate the amount of squash left, we will add the amount of squash she picked and then substract the amount she used from it
Step 1:
The amount she picked will be
![\begin{gathered} =7.85+4.63 \\ =12.48 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D7.85%2B4.63%20%5C%5C%20%3D12.48%20%5Cend%7Bgathered%7D)
Step 2:
The amount left will be calculated using the formula below
![\text{amount}=\text{amount picked - amount used}](https://tex.z-dn.net/?f=%5Ctext%7Bamount%7D%3D%5Ctext%7Bamount%20picked%20-%20amount%20used%7D)
By substituting the values, we will have
![\begin{gathered} \text{amount left}=\text{amount picked - amount used} \\ \text{amount left}=12.48-5.27 \\ \text{amount left}=7.21 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7Bamount%20left%7D%3D%5Ctext%7Bamount%20picked%20-%20amount%20used%7D%20%5C%5C%20%5Ctext%7Bamount%20left%7D%3D12.48-5.27%20%5C%5C%20%5Ctext%7Bamount%20left%7D%3D7.21%20%5Cend%7Bgathered%7D)
Hence,
The amount left = 7.21 pounds