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
Vsevolod [243]
3 years ago
15

. (02.02 HC) Dominic earns $18 an hour plus $25 an hour for every hour of overtime. Overtime hours are any hours more than 35 ho

urs for the week. Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points) Part C: Dominic earned $730 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points) (10 points)
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
Part A)
Let
E-----------> t<span>he amount of money earned
x----------> hours working in a week-----> </span><span>$18 an hour
</span><span>we know that
</span>E=18x ---------> equation that shows the amount of money earned <span>for working x hours in a week
</span>conditioned to <span> x<= 35  hours--------> </span>is no overtime

Part B)
Let
T----------------> the amount of money earned
<span>y -------------- > hours of overtime-------> </span><span>$25 an hour 
for x=35 hour----------> E=18*35=$630
T=630+25y------> </span>equation that shows the amount of wages earned for working y hours of overtime and 35 hour in a week
<span>
Part C) 
</span><span>if Dominic earned $730 in 1 week
$630------------> earned for working 35 hours in a regular week 
</span>[<span>hours of overtime]=(730-630)/25=100/25=4 hours

[total hours worked]=35+4=39 hours

the answer is 39 hours  (35 hours regular +4 hours overtime)
</span><span>
</span>
You might be interested in
If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the custome
AnnyKZ [126]

Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

<h3>What is the discrete probability distribution?</h3>

Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:

  • P(X = 0) = 0.2;
  • P(X = 1) = 0.15;
  • P(X = 2) = 0.30;
  • P(X = 3) = 0.20;
  • P(X = 4) = 0.10;
  • P(X = 5) = 0.05;

Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:

P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.

0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.

More can be learned about a discrete probability distribution at brainly.com/question/24855677

7 0
1 year ago
Please help me!..........
Anastaziya [24]

Answer:

<h2>$39,000</h2>

Step-by-step explanation:

Look at the picture.

To find the Median, place the numbers in value order and find the middle number (right picture).

Median = $39,000

4 0
3 years ago
Multiplying binomials: (a+7) * (a-4)
oee [108]
<span>(a+7) * (a-4)

a^2 - 4a + 7a - 28

a^2 + 3a - 28</span>
4 0
2 years ago
Read 2 more answers
15. Find the length of segment DE of the triangle ABC.
ruslelena [56]

Answer:

Option C. 26\ units

Step-by-step explanation:

we know that

Triangles ADE and ABC are similar by AA similarity postulate

AB=2AD

Apply proportion

\frac{AD}{AB}=\frac{8x-6}{12x+4}\\ \\\frac{AD}{2AD}=\frac{8x-6}{12x+4}\\ \\\frac{1}{2}=\frac{8x-6}{12x+4}\\ \\12x+4=16x-12\\ \\16x-12x=4+12\\ \\4x=16\\ \\x=4\ units

Find the length of segment DE

DE=8x-6=8(4)-6=26\ units

4 0
3 years ago
3^x+1 +3^x-1=270<br>Solve for x​
BaLLatris [955]

Answer:

x=4.464974

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • A soccer game is 90 minutes long 36 minutes have passed what percent of the game has passed
    13·1 answer
  • Find the surface area of the regular pyramid shown to the nearest whole number. <br><br> Thank you.
    15·1 answer
  • Craig had p coins. Then he found 66 more coins in a drawer. Write an expression that shows how many coins Craig has now.
    5·1 answer
  • The following represent which equation?
    11·1 answer
  • Identify two solutions to the function: f(x) = 2(3)​
    8·1 answer
  • What is the y-intercept in this equation f(x) = 4x2 – 3x + 1​
    9·2 answers
  • Look at the picture attached you will get brainliest
    14·2 answers
  • Which of the following equations represents a line that passes through the points
    13·2 answers
  • The first few steps in deriving the quadratic formula are shown.
    7·1 answer
  • when comparing condition means in an experiment with more than two conditions, why should you use an analysis of variance instea
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!