Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns throughout the week. One week, Samantha notic
ed that she earned about $12 in tips each hour.
Let x represent the number of hours Samantha works during a week where her average hourly earnings is $22.
Write a rational equation that models this situation
Let x represent the number of hours Samantha works during a week where her average hourly earnings is $22.
Write a rational equation that models this situation
2 answers:
Answer:
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Step-by-step explanation:
Samantha's weekly paycheck is $350 and she earns $12 in tips each hour. So, 12x represents the amount she earns in tips for working x hours. To find the total amount Samantha earns after working x hours, add the amount of her weekly paycheck and her amount earned in tips.
Next, to find Samantha's average hourly earnings over the course of a week, divide the total amount that she earns in a week by the number of hours that she works, x.
It is given that the average amount earned per hour for one particular week was $22. Therefore, set the above expression equal to 22 in order to create the rational equation that can be used to determine the number of hours Samantha worked that week.
Answer:
Step-by-step explanation:
Samantha's total earning per week are going to include the fix weekly wage of $350, plus whatever she gets from the tips. SInce what she gets from tips she noticed to be $12 per hour, if she works x hours during the week, the amount coming from tips only will be= $12*x
Therefore the total earning per week will add up to: $350 + $12*x
On the other hand, if we want to express her "average" hourly earnings, we need to divide the quantity above by the number of hours she works per week (we named such "x"):
Therefore, the last expression that states that "Samantha's average hourly earnings is $22", can be written as:
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Answer:
hey hope this helps
<h3 /><h3>Comparing sides AB and DE </h3>AB =
DE
So DE = 2 × AB
and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.
<u>scale factor</u> = AB/DE
= 2
It's been reflected across the Y-axis
<em>moved thru the translation of 3 units towards the right of positive x- axis </em>
for this let's compare the location of points B and D
For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3
so the triangle has been shifted by 3 units across the positive x axis
Answer: 0.22
Step-by-step explanation:
We know that the best point estimate for the difference between two population mean is the difference between their sample means.
Given : For the 39 randomly selected upperclassmen, the sample mean was 0.12 and sample standard deviation was 0.42. For the 35 randomly selected underclassmen, the sample mean was 0.34 and the sample standard deviation was 0.87.
Let A denotes the population of upperclassmen and B denotes the population of underclassmen .
Then, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen will be :-
Hence, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen =0.22