You must drive more than 40 miles to make option A the cheaper plan
<em><u>Solution:</u></em>
Two payment options to rent a car
Let "x" be the number of miles driven in one day
<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>
25 cents is equal to 0.25 dollars
OPTION A : 20 + 0.25x
<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>
50 cents equal to 0.50 dollars
Option B: 10 + 0.50x
<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>
For option A to be cheaper, Option A must be less than option B
Option A < Option B

Solve the inequality
Add -0.50x on both sides

Add - 20 on both sides,



Divide both sides by 0.25

Thus you must drive more than 40 miles to make option A the cheaper plan
Answer:
Aimee can save $24 by buying tickets at the lower price that is at the theater.
Step-by-step explanation:
First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:
Theater:
60→8
x ←24
x=(60*24)/8=180
Online:
51→6
x ←24
x=(51*24)/6=204
Now, you need to calculate the difference:
$204-$180=$24
According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.
Answer:
The combination 9 mm, 6mm, 5mm will not form a triangle.
9 +6 = 15 > 5
6+5= 11 < 9
9+5 =14 > 6
Explanation :
because the side length of triangle does not obey triangle inequality theorem.
The triangle inequality theorem:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer:
Sorry its a little blurry.