At a factory the basic week is 40 hours. During a particular week Mr. Ali earned a gross wage of $491.15, but $156.75 was overtime.Calculate Mr. Ali's basic rate of payment If overtime was paid for at time-and-a-quarter, find how many hours

Answers

Answer 1

Answer:

Mr. Ali worked for 55 hours.

Step-by-step explanation:

Basic working hours = 40 hours

Total gross wages = $490.15

Overtime wages = $156.75

Total wages as per basic week = Total Gross wages - Overtime wages

Total wages as per basic week = $490.15 - $156.75 = $334.4

Let wages for basic hours = [tex]\$x[/tex]

[tex]40\times x = \$334.4\\\Rightarrow x = \bold{\$8.36}[/tex]

Let the number of overtime hours = [tex]y[/tex] hours.

Given that the wages for overtime are paid for at time-and-a-quarter.

As per question statement:

[tex]y\times 8.36\times \dfrac{5}{4} = $156.75\\\Rightarrow y = \bold{15\ hours}[/tex]

Total number of hours worked by Mr. Ali = 40 + 15 = 55 hours


Related Questions

Martha states that –6 is a rational number. Which is a correct explanation for this statement?

Answers

Answer:

Step-by-step explanation:

-6 is rational because it can be written as a ratio -6/1 for example

Answer:

c

Step-by-step explanation:

I honestly don’t understand can some please help?

Answers

Answer:

400$

Step-by-step explanation:

since he receives 20 percent of the sales and he receives 80 dollars. Then 80 dollars is 20 percent of the sales. Now, we can change 20 percent into a fraction, 20 percent is 20/100 or 2/10, now there are 5 twos in a ten so we multiply 2/10 by 5, since 2/10 right now is 80 dollars you multiply 80 by 5

80*5=400, so the sales of the week was 400 dollars

Hope this helps :)

Answer:

Thus, the sales of the week were $400

Step-by-step explanation:

Percentages

The salesman receives a 20% commission on all his sales.

One week the company pays $80 as commission.

This means that $80 corresponds to 20% of the sales.

To find the sales, we just divide the commission by the percentage (expressed as a decimal) as follows:

Sales = $80 / (20/100)

Sales = $80 / 0.20

Sales = $400

Thus, the sales of the week were $400

i need some help......

Answers

Answer:

debt

Step-by-step explanation: hope this helps

The answer is debt .

the original price of a paur of jeanns is 32$ the sale price is 15%off the original price what is the amount off the original price

Answers

Answer:

15% off of 32$ will be 27.20$ I believe this is the answer.

Step-by-step explanation:

The answer I got was 27.20$

Please help will mark crown

Answers

Answer: B. negative association

The data in the scatter plot shows a negative assocation. As the X-values increase, the Y-values decrease.

3
3
16
5
II
1
1
0 /
What is the slope of line segment AB?
A)

B)
0
D)

Answers

Answer:

D

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(- 5, 3) and (x₂, y₂ ) = B(3, - 3) ← 2 points on the line

m = [tex]\frac{-3-3}{3+5}[/tex] = [tex]\frac{-6}{8}[/tex] = - [tex]\frac{3}{4}[/tex] → D

FIRST TO ANSWER CORRECTLY GETS BRAINLESIT! pleaseeee :)

Answers

Answer:

Step-by-step explanation:

the slope is 5/4

help plz.............​

Answers

Answer:

525 mL

Step-by-step explanation:

Never mind it is not 175 that is what is left he drank 525ml

Stella buys a one-pint bottle of juice for $2.72. What is the unit rate of the
cost of the juice per fluid ounce?

Answers

Answer: 0.17

Step-by-step explanation:

If she bought one pint of juice and there are 16 fluid ounces in one pint then you would take 2.72 the cost of it and divide ut by 16. So, 2.72/16 which is 0.17.

Triangle A is rotated 90-degrees clockwise about the origin. Which triangle is the image of this rotation? *
B
C
D
none of these

Answers

Answer:

The answer is B

Step-by-step explanation:

The equation for a 90 degree clockwise rotation is (x,y) -> (y,-x)

so (-2, 2) -> (2,2). You can also look up "rotation calculator", it really helped me get through this unit haha

Need help ASAP will give brainiest​

Answers

3x + 8 = 4x - 2
10 = 1x
x = 10

3(10) + 8 = 38
Angle B = 38 degrees

Jeremy is selling m of his models on the internet for $12.50 each. Which of the following expressions describes the amount he will be paid?​

Answers

Answer:

I dont have too much info but its 12.50m

Step-by-step explanation:

12.50(1) is 12.50 12.50(2) is 25 buck and so on and so on

7 1/4 boxes weigh total of 66 7/8 what does one box weigh

Answers

Answer:

68.875 / 7.25 = 9 1/2 pounds

Step-by-step explanation:

uh yeah so this again lol

Answers

Answer:

follow the insructions from the answer before

Step-by-step explanation:

Answer:

y=4x-9

Step-by-step explanation:

Solve for x
Help please

Answers

Answer:

Same type of way

Step-by-step explanation:

Times 17x - 8 by 3, then make it equal to 180, then see what X is

Answer:

4

Step-by-step explanation:

Given that the triangle shown is an equilateral triangle (all sides are marked with a dash meaning they are equal in length), each angle of the triangle must be 60°.

With this information:

[tex]17x-8=60[/tex]

[tex]17x=68\\x=4[/tex]

∴The value of x is 4.

Read the proof.

A 2-column table with 3 rows. Column 1 is labeled Step with entries tangent (2 x) = tangent (x + x), question mark, = StartFraction 2 (x) Over 1 minus tangent squared (x) EndFraction. Column 2 is labeled Reason with entries Addition, question mark, simplify.

What is the missing step and reason?

Equals StartFraction tangent (x) + tangent (x) Over 1 minus tangent (x) tangent (x) EndFraction tangent double angle identity
Equals StartFraction tangent (x) + tangent (x) Over 1 minus tangent (x) tangent (x) EndFraction tangent sum identity
Equals StartFraction tangent (x) + tangent (x) Over 1 + tangent (x) tangent (x) EndFraction tangent double angle identity
Equals StartFraction tangent (x) + tangent (x) Over 1 + tangent (x) tangent (x) EndFraction tangent sum identity

Answers

The missing step and reason is [tex]tan(x+x) = \frac{tan(x) + tan(x) }{1-tan(x) tan(x)}[/tex]  and

Reason is Tangent sum identity

What is the formula of  identity tan(x+y)?

Formulas for the tangent function can be derived from similar formulas involving the sine and cosine.

[tex]tan(x+y) = \frac{tan(x) + tan(y) }{1-tan(x) tan(y)}[/tex]

According to the question

A 2-column table with 3 rows.

Column 1 : row 1 :  tangent (2 x) = tangent (x + x)  

reason given as addition

Column 1 : row 2:

Need to fill next step

i.e

By using  formula of identity tan(x+y)

[tex]tan(x+y) = \frac{tan(x) + tan(y) }{1-tan(x) tan(y)}[/tex]

substituting the value

[tex]tan(x+x) = \frac{tan(x) + tan(x) }{1-tan(x) tan(x)}[/tex]

Reason : Tangent sum identity

Hence,  the missing step and reason is [tex]tan(x+x) = \frac{tan(x) + tan(x) }{1-tan(x) tan(x)}[/tex]  and

Reason is Tangent sum identity

To know more about identity tan(x+y) here:

https://brainly.com/question/15180093

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Evaluate the function rule for the given value. y = 4 • 2x for x = –6

Answers

Answer:

y = -48

Step-by-step explanation:

y = 4 . 2x

y = 4 . 2 . -6

y = 8 . -6

y = -48

Hope this helps :)

i need the answer NOWW PLSSS

Answers

Answer: The answer is No, it's not a scaled factor. That's my answer, you can figure it out why it's no.

Step-by-step explanation:

The equation 3/x=5/7 is equivalent to the equation
Select one:
a. 21=5x
b. 3x=35
c. 15=7x

Answers

Answer:

Step-by-step explanation:

3/x=5/7 is the same as A 21=5x Both equal to 21/5 or 4 1/5

David borrows $15,000 for a new car. He is charged 6% simple interest per year. If he paid $4500 in interest, how many years did it take him to repay the loan?

Answers

Answer:

5 years

Step-by-step explanation:

Given that:

Amount borrowed = principal = p = $15000

Interest % per year = r = 6% = 0?06

Total Interest paid = $4500

Number of years it took to repay the loan (t) =?

Simple interest = (p * r * t)

4500 = (15000 * 0.06 * t)

4500 = 900t

4500 / 900 = t

5 = t

It tool 5 years to repay the loan

The answer please I can’t Fail this class......

Answers

7, you divide the 14 by 2 because the qr is two times the length of gh, therefore 7 is two times the length of fh

Answer:

7cm

Step-by-step explanation:

See since 10 shrunk to 5

And it is the same shape but smaller, each side must be divided by 2 and 14/2 is 7

That's my reasoning for this

2x - 1 ≤ x + 5
I need help solving this equation

Answers

Answer:

x  ≤  6

Step-by-step explanation:

2x - 1 ≤ x + 5

Subtract x from each side

2x-x - 1 ≤ x-x + 5

x - 1 ≤  5

Add 1 to each side

x - 1+1 ≤  5+1

x  ≤  6

Answer:

x [tex]\leq[/tex] 6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the inequality, then isolating the variable.  Inequality Form:  x  ≤  6

solve for Z: 9Z= -11 + 10B

Answers

Answer:

z= (-11+10B)/9

Step-by-step explanation:

Divide both sides by 9.  

Which inequality has –12 in its solution set?


A

B

C

D


x + 6 less-than negative 8


x + 4 greater-than-or-equal-to negative 6


x minus 3 greater-than negative 10


x + 5 less-than-or-equal-to negative 4


A

B

C

D

RATE THIS GIRLS:

Answers

Answer:

8/10

Step-by-step explanation:

Answer:lol

Im a dude but you trying to pick up a girl on a school site is hilarious

Step-by-step explanation:

This is not math but plssss help here are some points

Answers

Answer:

I say the answer is ball 4

Step-by-step explanation:

The reason why I chose ball 4 was because ball 4 has less mass and the mass for ball 4 is only 300 and I'm pretty sure if you rolled ball 4 it would've went the farthest because it's mass is lesser than the others.

i’d say 4

this is because it is the smallest meaning it can move faster with less resistance

hope this helps

13) What is the domain and range for this table?

Answers

Answer:

domain from -5 to -3 and range from-1 to 4

Step-by-step explanation:

domain is your x (think x marks the spot on your domain), and range your y

find the angle between the following pairs of lines x^2+6xy +9y^2-4x +12y-5 =0​

Answers

Answer:

x

2

+6xy+9y

2

+4x+12y−5=0

Step-by-step explanation:

x

2

+6xy+9y

2

+4x+12y−5=0

Comparing the equation with the general equation of second degree gives

a=1,b=9,h=3,g=2,f=6,c=−5

Angle between a pair of straight lines that is tanθ=

 

a+b

2

h

2

−ab

 

tanθ=

 

1+9

2

9−1×9

 

=

9

0

tanθ=0

⇒θ=tan

(0)=0

Angle between the pair of straight lines is zero therefore the lines are parallel.

Hence proved

Angle between the pair of straight lines is zero therefore the lines are parallel.

What is parallel lines?

Parallel lines can be defined as two lines in the same plane that their angle of inclidation is equal and never meet.

Given,

x²+6xy+9y²-4x+12y-5=0

Comparing the equation with the general equation of 2nd degree

ax² + ay² + 2gx + 2fy + c = 0

so a=1, b=9, h= 3, g=-2, f=6, c=5

Angle between a pair of straight lines that is

tan∅=[tex]\frac{2\sqrt{h^{2} -ab} }{a+b}[/tex]

tan∅=[tex]\frac{2\sqrt{3^{2} -(1)(9)} }{1+9}[/tex]

tan∅=0°

∅=0°

Hence Angle between the pair of straight lines is zero therefore the lines are parallel.

Learn more about straight lines

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- (9m + 12) = 6(14 - m) ?

Answers

Answer:

m=-32

Step-by-step explanation:

Answer:

M=(-32)

Step-by-step explanation:

-(9m+12)=6(14-m)

-(9m+12)=84-6m

-9m-12=84-6m

-9m+6m-12=84

-3m-12=84

-3m-12+12=84+12

-3m=96

-3m÷(-3)=96÷(-3)

m=(-32)

MAT closed at $38.11 per share yesterday . Today, the stock price moved to $40.56 per share. What was the percent of change ?

Answers

Answer:

Step-by-step explanation:

40.56-38.11 = 2.45

2.45/38.11 = 0.064

multiply .064 times 100

6.4% is your percent of change

(-2,9), (0,1) what is the y-intercept?

Answers

Answer:

(0,1) is the y-intercept

Step-by-step explanation:

EZZZZZZ

Answer:

The y intercept is 1.

Step-by-step explanation:

When putting these points on a line and using rise and run, your slope will be -4,, and the y intercept is 1. :D

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