To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.
_______________
___ ____
(rounded)
Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.
So, your final answer would be (3.29, 4.87).
Answer:
I think the answer is B. $12.55
Step-by-step explanation:
14.50 - 6.95 = 7.55
7.55 + 5 = 12.55
We assume all employees are either full-time or part-time.
36 = 24 + 12
If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)
_____
You can write the inequality in two stages.
- First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
- Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.
Let f and p represent the numbers of full-time and part-time employees, respectively.
... f + p = 36 . . . . . . given
... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.
... f ≤ 24 . . . . . . . . . given
... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.
... 36 - 24 ≤ p . . . . add p-24
... p ≥ 12 . . . . . . . . the solution to the inequality
Answer:
G = (y-x)/2
Step-by-step explanation:
Here, we want to find the value of the angle marked G
To do this, we are going to use one of the important circle angle-arc relationships
Thus, we have it that;
G = 1/2 (mFE - mJH)
G = 1/2 (y-x)
Which is simply
G = (y-x)/2
Answer:
A
Step-by-step explanation:
The data set is;
2,4,6,8,10,12
For a box plot, we need five information regarding a data set;
These are;
1. The minimum value
The minimum value here is 2, so the box plot starts from here
2. The lower quartile
This is the term according to the formula;
(n + 1)/4
Where n is the number of data points which is 6
So we have;
(6 + 1)/4 = 7/4 = 1.75
Approximately this is the second term which is 4
3. The median
This is the middle number
We only need to add the third and fourth term, then divide by 2
we have this as; (6 + 8)/2 = 14/2 = 7
4. The upper quartile
It is the term according to the formula;
3(n+ 1)/4 = 3 * 1.75 = 5th term approximately
So we have it as 10
5. The maximum value
The max value here is 12
So the points on the box plot are;
2,4,7,10 and 12
So the correct plot is the first one
