To solve a problem like this, you will need to use substitution or elimination. For the sake of an example I will solve this using substitution.
First, solve one of the equations for x or y:
3x-5y=-39
3x=-39+5y
X=(-39+5y)/3
Then substitute for the value of x in the second equation:
6x+2y=-42
6((-39+5y)/3)+2y=-42
Solve for y:
-78+10y +2y=-42
-78+12y=-42
12y=36
Y=3
Once you've solved for y, you can plug in it's value to find x:
X=-39+5(3)/3
X=-24/3
X=-8
So, we can conclude that the correct answer is B. (-8,3)
Let's call job one x.
Job two can be y.
Jason earned $3,700 more from job y than x. Therefore y = x + 3700
From the two jobs, Jason earned $15,900. This can be written as x + y = 15900.
Now substitute y for x + 3700:
x + x + 3700 = 15900
2x + 3700 = 15900
Subtract 3700 from both sides:
2x = 12200
Divide both sides by 2:
x = 6100
Take the original equation x + y = 15900 and substitute x with 6100:
6100 + y = 15900
y = 9800
Job one (x) paid Jason $6,100.
Job two (y) paid Jason $9,800.
Answer:
11.18%
Step-by-step explanation:
Total = 340
Completed = 302
Not completed = 340 - 302 = 38
Not completed% = 38/340*100% = 11.18%
<h2>
Answer:</h2>
Correct option: B
<h2>
Step-by-step explanation:</h2>
When we say a is no more than b, we express this in a mathematical language as follows:
In this inequality, we know that the area of the triangle is no more than 168 in². In other words, if the area is named 
, then:
We also know that the height of a triangle is 4 inches greater than twice its base. Translating this in a mathematical language:
From geometry, we know that the area of a triangle is given by:
Matching (1), (2) and (3):
Since the length of the base of the triangle is 
, then 
Finally, correct option is B.
Answer:
upper control limit = 13.34
Step-by-step explanation:
The c-chart is used to check the change in the number of recorded calls per day
First find out the center line
c = sum of recorded calls/number of days
c = (3 + 0 + 8 + 9 + 6 + 7 + 4 + 9 + 8)/9
c = 54/9
c = 6
The upper control limit for 3σ is
upper control limit = c + 3√c
upper control limit = 6 + 3√6
upper control limit = 13.34
Therefore, the upper control limit for the 3-sigma c-chart is 13.34.
