The system of equations representing these costs are; y = 7.5x and y = 5.5x + 10
<h3>How to find the equation of a line?</h3>
The slope of the first line is;
m = (y2 - y1)/(x2 - x1)
m = (32 - 10)/(4 - 0)
m = 5.5
Now, the first coordinate has a y-intercept of 10. Thus, the equation here for the cost is; y = mx + c = 5.5x + 10
The slope of the second line is;
m = (y2 - y1)/(x2 - x1)
m = (15 - 0)/(2 - 0)
m = 7.5
Now, the first coordinate has a y-intercept of 0. Thus, the equation here for the cost is; y = mx + c = 7.5x + 0 = 7.5x
Thus, the system of equations representing these costs are;
y = 7.5x and y = 5.5x + 10
Read more about Equation of a line at; brainly.com/question/13763238
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Answer: The answer is 327
Explanation: 93×100/25 = 327
Answer:
<CPB
Step-by-step explanation:
Because <APE= right angle
<APC= Obtuse angle
<CPE= Obtuse Angle.
Also, <CPB because its the only angle below 90 degrees and an acute angle must be below 90 degrees.
The formulas for conditional probability are:
![P(A\cap B')=P(A)\cdot P(B'|A)](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%27%29%3DP%28A%29%5Ccdot%20P%28B%27%7CA%29)
![P(A\cap B')=P(B')\cdot P(A|B')](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%27%29%3DP%28B%27%29%5Ccdot%20P%28A%7CB%27%29)
.
Since
![P(A\cap B')= \frac{1}{6}](https://tex.z-dn.net/?f=P%28A%5Ccap%20B%27%29%3D%20%5Cfrac%7B1%7D%7B6%7D%20)
and
![p(B')= \frac{7}{18}](https://tex.z-dn.net/?f=p%28B%27%29%3D%20%5Cfrac%7B7%7D%7B18%7D%20)
, you have the equation
![\frac{1}{6} = \frac{7}{18} \cdot P(A|B')](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20%3D%20%5Cfrac%7B7%7D%7B18%7D%20%5Ccdot%20P%28A%7CB%27%29)
.
Therefore,
![P(A|B')= \frac{1}{6} : \frac{7}{18} =\frac{1}{6} \cdot \frac{18}{7} = \frac{3}{7}](https://tex.z-dn.net/?f=P%28A%7CB%27%29%3D%20%5Cfrac%7B1%7D%7B6%7D%20%3A%20%5Cfrac%7B7%7D%7B18%7D%20%3D%5Cfrac%7B1%7D%7B6%7D%20%5Ccdot%20%5Cfrac%7B18%7D%7B7%7D%20%3D%20%5Cfrac%7B3%7D%7B7%7D%20)
.
Answer: The correct choice is D.
Answer:
she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)
Step-by-step explanation: