The required inequality is 
<em><u>Solution:</u></em>
Given that,
Cost of 1 cap = $ 5
Cost of 1 t-shirt = $ 10
Let "x" be the number of caps sold
Let "y" be the number of t-shirts sold
The drama club needs to raise at least $500.00 for the trip
Based on this information, we can frame a inequality as:
number of caps sold x cost of 1 cap + number of shirts sold x cost of 1 shirt 
500
Which means,
Here we used "greater than or equal to" symbol , because club needs to raise at least $ 500
They can raise 500 or more than $ 500 also
Thus the required inequality is
70 x 8.5% = 70 x 0.085 = 5.95
Initial fee charged by Joe's canoe = $20
Hourly charge of Joe's canoe = $4
Hourly charge of Callie's canoe = $14
No initial fee is taken by Callie's canoe.
Let us assume the number of hours after which both places charges will be the same = x hours
Then
20 + 4x = 14x
20 = 14x - 4x
20 = 10x
x = 20/10
= 2
So after 2 hours the charges taken by both of them will be the same. I hope the procedure is easy and clear enough for you to understand.
Answer:
These lines will be perpendicular when m = ³⁄₂
Step-by-step explanation:
Two lines are perpendicular when the product of their gradients equal to -1. So:
m₁ * m₂ = -1
Let's get the first equation in gradient-intercept form (same as equation two).
2x + 3y = 4
3y = -2x + 4
y = -⅔x + ⁴⁄₃
We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:
-⅔ * m₂ = -1
m₂ = ³⁄₂
