Answer:
<u>Answer</u><u>:</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>(</u><u>2</u><u>k</u><u> </u><u>-</u><u>pw</u><u>)</u><u>/</u><u>p</u>
Step-by-step explanation:

multiply 2 on both sides:

open the bracket:

subtract pw from both sides:

divide p on both sides:

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:
Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, only you can't see them both, because they are on top of each other.
Step-by-step explanation:
No you could have left it as the last but one line or write them separately as
11/18 + √85 / 18 , 11/18 - √85/18
Answer:
d = 105° , e = 32° , f = 43°
Step-by-step explanation:
d and 105° are vertically opposite angles and are congruent , then
d = 105°
e and 32° are vertically opposite angles and are congruent , then
e = 32°
105° , e and f lie on a straight line and sum to 180° , that is
105° + e + f = 180°
105° + 32° + f = 180°
137° + f = 180° ( subtract 137° from both sides )
f = 43°