Manuel's job pays $11.50 per hour for a 40-hour work week.If Manuel worls over forty hours,he earns 1.5 times his hourly pay for each extra hour worked.How much is Manuel paid by his employer if he works 46 hours each week?
Answers
Final answer:
Manuel gets paid $460 for the first 40 hours of work, and an additional $103.50 for the 6 hours of overtime, making his total weekly pay $563.50 if he works 46 hours per week.
Explanation:
To calculate Manuel's weekly wage based on his hourly rate, we first need to consider his regular work hours and his overtime hours separately.
For his regular work hours, which are the first 40 hours, Manuel is paid at his regular hourly rate of $11.50. Therefore, his earnings for the 40 hours are: 40 hours * $11.50/hour = $460.
If he works more than 40 hours in a week, the additional hours are considered overtime.
For these extra hours, he is paid 1.5 times his regular pay. In this case, Manuel worked 46 hours, so he had 6 hours of overtime. His overtime earnings are: 6 hours * 1.5 * $11.50/hour = $103.50.
Adding these together, in a 46-hour week, Manuel's total earnings would be $460 + $103.50 = $563.50.
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What numbers listed below are equivalent to x^2 = 5A. Square root of -5 B. Square root of 5 C. 25 D.10 E. -25 F. None of these
If a case of paper contains 16 packages of paper, and each package contains 500 sheets, how many sheets of paper are in a case? A. 7000 B. 8000 C. 5000 D. 4000
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44%
51%
49%
Answers
Answer:
Option 3 - 51%
Step-by-step explanation:
Given : In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science.
To find : What is the probability of randomly choosing a student who is not taking science?
Solution :
We can show this situation through Venn diagram,
Refer the attached figure below.
Take the Blue circle as the students taking math and Red circle as the student taking science.
Total number of student = 160
Let M be the student taking math M=90
S be the student taking math S=78
The student only take math is 90-62=28=P
The student only take science is 78-62=16=Q
Total students cover the circle is 28+62+16 = 106
Remaining students who are not in either two circles is 160-106=54
The remaining students and student taking math only is 28+54=82
So, 82 students are those who are not taking science.
The probability of student who is not taking science is
In percentage, 0.51=51%.
Therefore, Option 3 is correct.
The probability of student who is not taking science is 51%.
Answers
Answer:
Step-by-step explanation:
Since we cannot factor the expression, we must use quadratic formula:
Plug in a for 2, b for 3, and c for -7 and you should find your roots.
Answers
Answer:
32.5 miles
Step-by-step explanation:
Given that:
Eastbound bus :
0.8 miles every 45 seconds
Speed per second :
0.8 / 45 = 0.0177777 miles per second
Distance after 15 minutes
(15 * 60) * 0.0177777 = 16 miles
Westbound bus:
0.55 miles every 30 seconds
Speed per second :
0.55 / 30 = 0.0183333 miles per second
Distance after 15 minutes :
(15 * 60) * 0.0183333 = 16.5 miles
Distance apart :
16 miles + 16.5 miles = 32.5 miles
METHOD 2:
Distance covered after 15 minutes :
15 minutes = 15 * 60 = 900 seconds
Distance apart after 900 seconds :
[0.8 * (900/45)] + [0.55 * (900/30)]
16 + 16.5
= 32.5 miles
4x + 7y = -40
1. Subtract 2x from both equations and solve the first equation for y.
2. Multiply the first equation by -2 and add the second equation.
3. Add the first equation to the second equation and subtract 6x from both sides of the equation.
4. Subtract 7y from the second equation and add the first equation.
Which one of these steps is the correct way of solving by elimination?
Answers
The method that should be selected is
2. Multiply the first equation by -2 and add the secondequation.
Elimination method:
In the elimination method, we can either add or subtract the equations to get an equation in one variable. At the time When the coefficients of one variable are opposites, so we can add the equations to eliminate a variable and when the coefficients of one variable are equal we can subtract the equations to eliminate a variable.
Learn more about an equation here: brainly.com/question/17599700
Answer:
2
Step-by-step explanation:
if we multiply the first equation by neg 2, the 4x's cancel out.
B) 67%
C) 73%
D) 91%
Answers
The correct answer choice is therefore D) 91%
The answer is D. 91%
Answers
Answer:
5+ 4x > 7, x > 1/2
Step-by-step explanation: