Answer:
x=10
Step-by-step explanation:
8x+10=6x+30
8x-6x=30-10
2x=20
x=10
Using the mean concept, it is found that the mean difference between the call times and the company's average call time is given by:
<h3>What is the mean?</h3>
- The <em>mean </em>of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
In this problem:
- The four observations are the differences between the time of each phone call and the average time.
- They are: {-2.32, -1.55, 4.79, 0.68}
Hence, the mean difference is:
Hence, option C is correct.
To learn more about the mean concept, you can take a look at brainly.com/question/13451786
Answer:
x = 7
y = 11
Step-by-step explanation:
Given the system;
y = 2x - 3
x + y = 18
1. Approach
The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.
2. Solve one of the equations for a variable
Manipulate the system such that each equation is solved for the same variable,
x + y = 18
Inverse operations,
x + y = 18
-18 -18
x + y - 18 = 0
-y -y
x - 18 = -y
3. Use elimination
Now substitute this back into the original system,
y = 2x - 3
-y = x - 18
Add the systems,
y = 2x - 3
-y = x - 18
_________
0 = 3x - 21
Inverse operations,
0 = 3x - 21
+21 +21
21 = 3x
/3 /3
7 = x
4. Find the value of the unknown variable
Backsovle to find the value of (y),
x + y = 18
Substitute,
7 + y = 18
Inverse operations,
7 + y = 18
-7 -7
y = 11
Answer:
y=2.625
Step-by-step explanation:
Answer:
Alexandria requires 55 rows to use all the shells.
Step-by-step explanation:
Given:
Number of Shells = 329
Number of shells in each row = 6
We need to find the number of rows she need if she wants to use all the shells.
Solution:
Now we know that;
number of rows she needs can be calculated by Dividing Number of Shells with Number of shells in each row.
framing in equation form we get;
number of rows = 
Hence Alexandria requires 55 rows to use all the shells.
