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:
d=54
Step-by-step explanation:
22 + 15 = d - 17
37=d-17
54=d
d=54
Unless told otherwise, the center ofrotation<span> is the </span>origin<span> (0, 0).</span>
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />
Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.
Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.
Then, you can represent the number of hours he worked as a waiter this month with this equation:
Since he earns $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:
Since , you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.
This is:
Answer:
65.2 milliliters
Step-by-step explanation:
The quantity 336 milliliters is the 100% of the solution. We can represent this information on a table:
Milliliters Percentage of solution
336 ⇔ 100%
we are told that 19.4% of this solution is acid, and we need to know how many milliliters represents this percentage. I will call the number of milliliters of acid on the solution 'x', and updating the last table:
Milliliters Percentage of solution
336 ⇔ 100
x ⇔ 19.4%
We can solve this problem for 'x' using the<u> rule of three</u> which is to multiply the cross quantities on the table (336 by 19.4) and then divide by the remaining amount (100):
x = 336(19.4)/100
x = 6,518.4/100
x = 65.184
which rounding to the nearest tenth is: 65.2 milliliters
