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olasank [31]
3 years ago
10

Michael worked 42 hours last week. His regular pay is $10.00 per hour. He is paid 1 1/2 times his regular pay for overtime hours

(in excess of 40 hours). What was his gross pay?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Answer:

$430

Step-by-step explanation:

Total hours worked by Michael = 42 hours

hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour

thus,

Michael worked 2 hours overtime.

money paid for working 1 hour in regular pay = $10.00

money paid for working 40 hour in regular pay = $10.00*40 = $400

lets calculate money paid to him for over time

given

Michael is paid 1 1/2 times his regular pay for overtime hours

Money paid for overtime for 1 hour =  1 1/2 *money paid for working 1 hour in regular pay

Money paid for overtime for 1 hour = 3/2 *$10 = $15

Money paid for 2 hours work overtime = $15*2 = $30

Thus,

gross pay for 42 hours work for Michael = $400 + $30 = $430

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PLEASE HELP!!!!!!!!<br> a2 - 10ab + 3b^2
Zielflug [23.3K]
Let's simplify step-by-step.

<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b2

</span></span></span>There are no like terms.

Answer:

<span>=<span><span><span>a2</span>−<span><span>10a</span>b</span></span>+<span>3<span>b<span>2</span></span></span></span></span>
5 0
3 years ago
Juan and Franco collect baseball cards. Juan has baseball cards. Franco has 18 fewer baseball cards than Juan. Together they hav
horsena [70]

Answer:

Franco has 66 baseball cards.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of baseball cards that Franco has.

y is the number of baseball cards that Juan has.

Franco has 18 fewer baseball cards than Juan.

This means that:

x = y - 18

Also:

y = x + 18

Together they have 150 baseball cards.

This means that:

x + y = 150

Since y = x + 18

x + x + 18 = 150

2x = 132

x = \frac{132}{2}

x = 66

Franco has 66 baseball cards.

8 0
3 years ago
What are the solutions to the equation 2x^2 - 2x - 12 = 0?
pantera1 [17]
2(x)^2 - 2(x) - 12 = ?
  
2(x)^2 - 2(x) - 12

(x)^2 - 6 - x

Multiply ↪1 (-6) = -6

1 + -6 = -5 , right?

-3 + 2 = -1, right?

After we have pulled out the like terms we have to add/subtract!   x(x) - 3

Search for the common denominator
2(x) - 3

You can add up 4 for your terms
x + 2 (x - 3)

Make sure you solve this↪ 2 = 0

x + 2 = ?
x + 2 = 0
We have found the first; x = -2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since, this one has a single variable, I'll make the step easier and quicker

Solve this part ↪    x-3 = 0 
If we had the number 3 to your sides we would have found the outcome of the next x
                    
So, the second x is 3 

So, therefore your answer would have to be x =-2 ; x = 3 (most likely option C.)



5 0
3 years ago
The United States consumes 2.6 billion cases of bottled water per year. Assume that each case holds 24 ½-liter bottles. Each cas
rusak2 [61]
So first find the circumfernece of the earth which is 24,901 times 5280 
use a calculator 
24,901 times 5280=131,477,280ft
1 ft=12 inches so 131,477,280 times 12=157,727,360 in
so 157,727,360 divide by the legnth of the case=1,577,727,360/15.1=104,485,255.62914 cases to go around the earth once so 
million=1000 thousand
billion=1000 million
billion=1,000,000,000
2.6 billion=2,600,000,000
so 2,600,000,000/104,458,255.62914=24.88 or rounded up <u>they would go around the earth close to </u><u>25</u><u> times</u>





AREA OF THE BASES
base=legnth times width so 15.1 times 8.3 =125.33 in^2
multiply 125.33 in^2 by 2,600,000,000 and get 325,858,000,000 in^2 or 3.25858 times 10^11=area of the bases

PERIMETER OF THE BASES
perimeter of the bases 2Legnth+2Width times 2.6 billion
2(15.1)+2(8.3)=46.8
46.8 times 2.6 billion=121,680,000,000 inches  or 1.2168 times 10^11= perimeter of all the bases

VOLUME
24 1/2 liter bottles means 24 times 1/2=12 liters in each pack 
2.6 billion times 12=<u>31,200,000,000</u> liters or 3.12 times 10^10
4 0
3 years ago
Two 120 resistors are connected in parallel across voltage supply of 10 vdc what’s the current in this circuit
Daniel [21]

Answer: 0.167

Step-by-step explanation:

This is an applied mathematics question

Resistors in parallel  ⁾/R = ¹/₁₂₀ + ¹/₁₂₀ since the resistor is two 120

Therefore , resolve into fraction now yield

                       ¹/R                              =         1 + 1  

                                                                    -------

                                                                     120

                                                          =         2/120

                                                          =          ¹/₆₀

Therefore,                                  ¹/R   =      ¹/₆₀

 Cross multiply to get R the resistance

                                                      R  =  60

From formula,                                V = IR where I is the current

There fore making I the subject of the formula

                                                        I = V/R

                                                          = 10/60

                                                          = 0.166

                                                          = 0.167 A, A = ampere which is the unit of current.

                   

4 0
3 years ago
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