There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.
CostA = 90 + .40(miles)
CostB = 30 + .70(miles)
We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:
90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.
-30 -30 Subtract 30 from both sides.
60 + .4(miles) < .7(miles) Simplify
-.4(miles) -.4(miles) Subtract .4(miles) from both sides
60 < .3(miles) Simplify
/.3 /.3 Divide both sides by .3
200 < miles Simplify
So for A to cost less the number of miles must be greater than 200.
Answer:
16
Step-by-step explanation:
Given the equation,
, let's solve for x as follows,
Subtract 200 from both sides


Subtract 15x from both sides


Divide both sides by -5


3/4 since (9 1/2 = length* width with makes the base) and divide it by 7 1/8.<span />
To find this I would use the pythagorean theorem which is:
a^2 + b^2 = c^2
Since we already know c = hypotenuse, and a side of the shorter sides we can plug them it like this:
11^2 + b^2 = 12^2
121 + b^2 = 144
b^2 = 23
√23 = 4.79
Round:
B. 4.8 would be your answer!