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Vesnalui [34]
3 years ago
12

In a $3,400 annual salary increase. How much extra will you bring home on each paycheck?

Mathematics
1 answer:
Taya2010 [7]3 years ago
4 0

Answer:

3400

Step-by-step explanation:

you didnt give another number to divide or mutiply subtract annd or even add

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A group consisting of 10 children an adult went to a movie theater children tickets cost 5 each and adults tickets cost 8 each a
wlad13 [49]

9514 1404 393

Answer:

  6 children

Step-by-step explanation:

If all of the group were adults, the total cost of tickets would be 8×$10 = $80. The actual cost was $80 -62 = $18 less than that. Since each children's ticket saves $3 off the cost of an adult ticket, there were $18/$3 = 6 children's tickets.

There were 6 children in the group.

_____

If you want an equation, you can let c represent the number of children. Then the cost of tickets is ...

  8(10 -c) +5c = 62 . . . . 10-c is the number of adults

  -3c = -18 . . . . . . . subtract 80

  c = -18/-3 = 6 . . . divide by 3

3 0
3 years ago
Lines p and q are parallel. What is m&lt;1?<br><br><br> 30 <br><br>66<br><br> 84 <br><br>96
mylen [45]
The answer is 66 mate
3 0
4 years ago
16.54 as a mixed number
harkovskaia [24]
16.54 as a mixed number is 16 27/50
4 0
3 years ago
Does point (-6, -7) lie on the circle centered at (-2,-8), that contains the point (2, -9).
Nesterboy [21]
Equation of circle:
(x+2)^2 + (y+8)^2 = 17

Point (-6, -7)

(-6+2)^2 + (-7+8)^2 = 17
(-4)^2 + (1)^2 = 17
16 + 1 = 17
17 = 17

Answer is YES
3 0
3 years ago
The total surface area of a closed cylinder is
Degger [83]

The maximum volume of the cylinder is 27147.355 at the maximum point  r = \frac{50}{\sqrt{3} } .

<h3>How do you find the maximum volume of the cylinder?</h3>

The formula for the volume of the cylinder v = \pir^{2}h, To find the maximum volume of the cylinder we apply the condition of maxima  \frac{\mathrm{d} v}{\mathrm{d} r} = 0.

Let r cm be the radius and h cm be the height of the closed cylinder.

Then, Total surface area of the cylinder = 2\pi r(r+h)

                                                        5000 = 2\pi r^{2} +2\pi rh

                                                             h =   \frac{5000-2\pi r^{2} }{2\pi rh} .............(1)

Volume of the cylinder v = \pi r^{2} h

Substitute the value of h in the above equation

\Rightarrow                                       = \pi r^{2} × \left [ \frac{5000-2\pi  r^{2}}{2\pi r} \right ]

\Rightarrow                                      = \frac{r}{2} ×  (5000-2\pi r^{2} )

\Rightarrow                                    v = 2500r-\pi r^{3} ..............(2)

Now, for the maximum volume of the cylinder  \frac{\mathrm{d} v}{\mathrm{d} r} = 0

\Rightarrow                                                            \frac{\mathrm{d} (2500r-\pi r^{3})}{\mathrm{d} r} = 0

\Rightarrow                                                                      3\pi r^{2} = 2500

\Rightarrow                                                                          r^{2} = \frac{2500}{3\pi }

\Rightarrow                                                                          r = \frac{50}{\sqrt{3\pi } }

Volume is maximum for  r = \frac{50}{\sqrt{3\pi } }  

Then, v = 2500r-\pi r^{3}

\Rightarrow              =  2500 \frac{50}{\sqrt{3\pi } } -\pi (\frac{50}{\sqrt{3\pi } } )^{3}                              

\Rightarrow             = \frac{125000}{\sqrt{3\pi } } - \frac{125000}{3\sqrt{3\pi } }

\Rightarrow             = \frac{125000}{\sqrt{3\pi } }×\frac{2}{3}

\Rightarrow             = \frac{250000}{3\sqrt{3\pi } }                                                              

\Rightarrow          v = 27147.355

Hence, The maximum volume of the cylinder is 27147.355 at the maximum point  r = \frac{50}{\sqrt{3} } .                                                

To learn more about total surface area and volume of the cylinder from the given link

brainly.com/question/16095729

#SPJ4                                                                                   

3 0
2 years ago
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