1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marianna [84]
3 years ago
7

Andrew makes $6 an hour plus $9 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week

.
Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime.

Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours.

Part C: Andrew earned $330 in 1 week. How many hours (regular plus overtime) did he work?
Mathematics
1 answer:
MrRissso [65]3 years ago
4 0
Part A: W = 6x 

Part B: Since without overtime it is 6 $ per hour and you need to make 40 hours 
you would multiply 6 *40 = 240
So <u>S = 240 + 9y

</u>Part C: <u><em>Substitute</em></u><u />
Since Andrew earned 330 you would substitute it for <em>S</em> 
<u>
330 = 240 + 9y
</u> <--- solve for <u /><u><em>y</em><em /></u><em />

330  ( - 240 ) = 240 ( - 240 ) 9y  < ---- subtract 240 from each side 
90 = 9y 
90 / 9 = 9y / 9 <----- divide by 9 

10 =y   Andrew worked 10 hours for overtime  

<u><em /></u><u><em /></u><em /><u><em>Check </em></u><u><em /></u><em /> 
<u><em />
</u>
<u><em>330</em></u><u><em /></u><em> </em>= 240 + 9(10)
<u><em>330</em></u><u><em /></u><em /> = 240 + 90 
<u><em>330</em></u><u><em /></u><em /> = 330 <-- your answer is <u><em>10</em></u>

You might be interested in
Factor by grouping<img src="https://tex.z-dn.net/?f=%284y%5E3%20%2B%2028y%5E2%29%20%2B%20%28y%20%2B%207%29" id="TexFormula1" tit
Inessa05 [86]

We have the following expression given:

(4y^3+28y^2)+(y+7)

We can start selecting as common factor 4y^2 and we got:

4y^2(y+7)+(y+7)

Now we can select y+7 as common factor and we got:

(y+7)\left\lbrack 4y^2+1\right\rbrack

So then our final answer would be:

(y+7)(4y^2+1)

3 0
1 year ago
I need help on this page
Aloiza [94]
Because it is a question asking for ppl playing either soccer OR basketball, we add the two fractions together. Thus, Part A becomes 3/10 + 4/10, which is 7/10 (since the denominators are the same, you only add the numerators).
4 0
3 years ago
The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

\displaystyle \bar C(X)=\frac{C(x)}{x}

The cost function is:

C(x) = -20x+1681

And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

-20x+1681 \le 21x

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

1681 \le 41x

Swapping sides and changing the sign:

41x \ge 1681

Dividing by 41:

x\ge 41

The least number of items to produce is 41

8 0
3 years ago
Describe the solution of g(x) shown in the graph.
Ugo [173]

Answer:

All real solutions

Step-by-step explanation:

  • The given graph is a maximum quadratic function.
  • The solution to the graph is where the graph intersects the x-axis.
  • We can see from the graph that, the function intersected the x-axis at two different points, hence its discriminant is greater than zero.
  • Hence the solution of g(x) are two distinct real solutions.
  • The solutions are not whole numbers because the x-intercepts are not exact.
  • The solutions are also not all points that lie on g(x)
  • The first choice is correct.
3 0
3 years ago
A bag contains 4 red marbles, 5 yellow marbles, and 6 blue marbles. three marbles are to be picked out randomly (without replace
gayaneshka [121]
A 50 50 percent , I think
6 0
4 years ago
Other questions:
  • 600+15y=750.<br> solve for y<br> can I as well have the way you solved for y?
    15·2 answers
  • Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three
    11·2 answers
  • Which choice is equivalent to the fraction below
    7·2 answers
  • Use the discriminant to determine the number and type of solutions the equation has.
    14·2 answers
  • What is another way to name 1/4
    9·2 answers
  • At a restaurant, Mike and his three friends decided to divide the bill evenly. If each
    14·2 answers
  • Tyler and Andre are shopping for snacks in bulk at the
    6·1 answer
  • According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80⁰f . Azul needs to find th
    11·1 answer
  • Answer answer answer ​
    9·1 answer
  • The sum of 10x + 6 and -x + 8
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!