x will represent the number of tickets.
y will represent the fixed fee given by the ticket agency
6x + y = 135
3x + y = 75
To solve, we can use the process of elimination by multiplying the second equation by -2 so that 6y will cancel:
-6x - 2y = -150
+6y + y = 135
Now we simplify by adding/subtracting:
-y = -15 or y = 15
Plug the value of y into any of the two equations and solve for x. I will use the second equation:
3x + 15 = 75
3x = 60
x = 20
To set this up in slope intercept form (y = mx + b), we need to identify what m and b are.
m is x because it is not a fixed number, and b is y because it is a fixed number (price of “fixed” fee). This brings us to y = 20x + 15
We have that
scale factor=3
we know that
[volume new prism]=[scale factor]³*[volume original prism]
[volume new prism]=[3]³*[72]-----> 27*72-----> 1944 units³
<span>the volume of the new prism is twenty-seven times the original</span>
16tbsp/1cup.
Multiply by 5 for 5 cups (I recommend cross multiplying with fractions)
80tbsp/5cups
Multiply by 1.25
20tbsp/1.25cups
Multiply by 2.7
43.2tbsp/2.7cups
Since you can’t have .2 of a table spoon, we need to round up.
44tbsp/2.7cups
Total tbsp:80+20+44tbsp=144tbsp
We would need 144 tablespoons for 8.95 cups (9 for the same reason that we rounded up with the table spoons)
The last one is $10.50 but idk the rest of the questions