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Digiron [165]
3 years ago
14

Pete works in road construction as a grader operator. His regular work week is

Mathematics
1 answer:
GuDViN [60]3 years ago
8 0

If Pete works for  45.25 hours during the week and 5.75 hours on Saturday, his earning will be]$981.68

From the question, Pete's regular work week is 40 hours and his regular salary is $15.77/h.

To determine how much Pete will make if he works 45.25 hours during the week and 5.75 hours on Saturday,

If he worked 45.25 hours during the week, then he has worked 5.25 hours overtime, since his regular work week is 40 hours.

From the question, he earns time and a half for overtime hours worked during the week (Monday to Friday), that is,

∴ For working 5.25 hours overtime, he will earn for 5.25hours × 1.5 = 7.875 hours

Also, from the question, he earns double time and half if he has to work on a Saturday

∴ For working 5.75 hours on Saturday, he will earn for 5.75 hours × 2.5 = 14.375 hours

Since his regular salary is $15.77/h,

Therefore, Pete will earn

40 × $15.77 = $630.8 (for his regular work week)

7.875 × $15.77 = $124.18875 (for overtime hours worked during the week)  

and 14.375 × $15.77 = $226.69375 (for working on Saturday)

Hence,  if Pete works for  45.25 hours during the week and 5.75 hours on Saturday, his earning will be $630.8 + $124.18875 + $226.69375 = $981.6825 ≅ $981.68

Learn more here: brainly.com/question/19054648

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In the system of equations below, I want to eliminate the variable y.
Mekhanik [1.2K]

Answer:

(x,y)=(-1,1)

Step-by-step explanation:

Given that,

3x + 5y = 2   .....(1)

6x - 10y = -16  ....(2)

Finding the value of x from equation (1).

x=\dfrac{2-5y}{3}

Put the value of x in equation (2)

6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1

Put the value of y in equation (1) :

3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1

So, the solution of the equations is (-1,1).

5 0
3 years ago
Which of the following numbers are irrational?
sweet [91]

The number are 1/4 π and \sqrt[3]{9} are irrational number.

It is required to choose the numbers are irrational.

<h3>What is real number?</h3>

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given that:

The given option are

-2.3456 =-23456/10000

since, -2.3456 can be represented as rational numbers.

π is an infinite decimal, so it cannot be expressed as a rational number.  

So, 1/4 π is irrational number.

\sqrt[3]{9} is an irrational number.

2 + √16=2+4= 6 is a rational number.

Therefore, the number are 1/4 π and \sqrt[3]{9} are irrational number.

Learn more about real number here:

brainly.com/question/551408

#SPJ1

5 0
2 years ago
What is (3 x 105) x (4 x 103) in SCIENTIFIC NOTATION?
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6 0
3 years ago
Read 2 more answers
Enter an equation in the form y=mx+b that represents the function described by the graph ​
-BARSIC- [3]

Answer:

y = -\frac {3}{2} x

Step-by-step explanation:

Thankfully this passes through the origin so we already know the y = mx + b resultingly has no y-intercept, so we only need to find slope as b is 0 and thus is redundant to say y = mx + 0.

Now all that's left to find is slope which is how much it rises by and how much it runs by. putting it in as rise over run

Using two points that are on the grid, which are given to us, (0, 0) and (-2, -3)

The rise, change in y, is a decrease of 3 units, written as -3

The run, change in x, is a change of 2 units, written as 2

Therefore

m = Slope = rise/run = -3/2

Because it intercepts the y axis (0, #) at 0 (0, 0) the origin meaning we dont  write it in your slope-intercept formula, y = mx + b, is as follows

y = (-3/2)x

Hope this helps.

6 0
3 years ago
What is the value when f(x) = 6?​
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Your answer will have to be C (5)
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