Answer:
43.66
Step-by-step explanation:
Just calculate 59% of 74
Answer:
Step-by-step explanation:
y intercept is -6
the slope is already in it's fraction form but if you want it back to whole number it's y=1.33x-6
the slope is positive
Some plots you can put are (6, 2) and (12, 10)
Just start at (0, -6) and counts 4 up and 3 right
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
Let x= months
So 50x is the total amount he pays after x months. You went to add 100 to this because there's a fixed cost of 100 for the phone
So you have the expression 100+50x which is the amount he pays after x months
Since he has a limit of 300,
100+50x < 300
Answer: ![28\ cubes](https://tex.z-dn.net/?f=28%5C%20cubes)
Step-by-step explanation:
The volume of a cube can be found with this formula:
![V_{(c)}=s^3](https://tex.z-dn.net/?f=V_%7B%28c%29%7D%3Ds%5E3)
Where "s" is the lenght of any edge of the cube.
The formula for calculate the volume of a rectangular prism is:
![V_{rp}=lwh](https://tex.z-dn.net/?f=V_%7Brp%7D%3Dlwh)
Where "l" is the lenght, "w" is the width and "h" is the height.
We need to find the volume of a cube box:
![V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3](https://tex.z-dn.net/?f=V_1%3Ds%5E3%3D%28%5Cfrac%7B1%7D%7B6%7Dft%29%5E3%3D%5Cfrac%7B1%7D%7B216%7Dft%5E3)
To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:
![1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B6%7D%3D%5Cfrac%7B%286%2A1%29%2B1%7D%7B6%7D%3D%5Cfrac%7B7%7D%7B6%7D)
Then the volume of the shipping box is:
![V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3](https://tex.z-dn.net/?f=V_2%3Dlwh%5C%5C%5C%5CV_2%3D%28%5Cfrac%7B7%7D%7B6%7Dft%29%28%5Cfrac%7B1%7D%7B3%7Dft%29%28%5Cfrac%7B1%7D%7B3%7Dft%29%3D%5Cfrac%7B7%7D%7B54%7Dft%5E3)
Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:
![\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B7%7D%7B54%7Dft%5E3%7D%7B%5Cfrac%7B1%7D%7B216%7Dft%5E3%7D%3D28)