Answer:
The expressions for the payment made to Mary are,
(Monday) 90 = 15m + b
(Tuesday) 62 = 8m + b
where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.
The equation that represents Mary's earning is
y = 4x + 30
For 20 students,
y = 4(20) + 30 = 110
For Lisa's earnings,
y = 8x + 15
Substituting 20,
y =8(20) + 15 = 175
Thus, Lisa would earn more than Mary by $65.
(Btw this is not my work, I got it from someone else on brainly and wanted to help lol)
Answer:
2.1
Step-by-step explanation:
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
Answer:
14 month
Step-by-step explanation:
Lets create equations for these two gyms. I believe this is an algebra 1 problem.
Community Gym: y=70x+50
Workout Gym: y=60x+190
Because both gyms are equal to y, we can set them together and solve for x.
70x+50=60x+190
10x=140
x=14
You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months
Therefore, after 14 months you will have paid the same amount for both gyms.
Answer:
Step-by-step explanation:
Given
Two curves are given
and 
the two curves intersect at
to get the we need to integrate the curves over x axis
![A=2\left [ 3\left ( \frac{\sqrt{2}}{3}\right )-\frac{9}{3}\left ( \frac{\sqrt{2}}{3}\right )^3\right ]](https://tex.z-dn.net/?f=A%3D2%5Cleft%20%5B%203%5Cleft%20%28%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B3%7D%5Cright%20%29-%5Cfrac%7B9%7D%7B3%7D%5Cleft%20%28%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B3%7D%5Cright%20%29%5E3%5Cright%20%5D)
![A=2\sqrt{2}\left [ 1-\frac{2}{9}\right ]](https://tex.z-dn.net/?f=A%3D2%5Csqrt%7B2%7D%5Cleft%20%5B%201-%5Cfrac%7B2%7D%7B9%7D%5Cright%20%5D)
