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Veronika [31]
3 years ago
8

juilo is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35hours and e

arned $436.60.Write and solve an equation to find julios's normal hourly rate. explain how you know your answer is reasonable.
Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0
Let x be Juilo's normal hourly rate.

so for the 35 hr week  we have:-

30x + 5*1.4x = 436.60

37x = 436.60

x = 436.60 / 37 =  $11.80

His normal hourly rate = $11.80


So for a 30 hr week he will earn 11.80 * 30  =  $354

So  the  amount $436.60  is a reasonable figure for  a 35 hr week.
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25x^2+9y^2+72y-81=0. Find the standard form of the equation by completing the square. Then identify and graph each conic.
olasank [31]
          25x² + 9y² + 72y - 81 = 0
                   25x² + 9y² + 72y - 81 + 81 = 0 + 81
                                   25x² + 9y² + 72y = 81
                           25x² + 9(y² + 8y + 16) = 81 + 9(16)
                   25x² + 9(y² + 4y + 4y + 16) = 81 + 144
           25x² + 9(y(y) + 4(y) + 4(y) + 4(4)) = 225
                  25x² + 9(y(y + 4) + 4(y + 4)) = 225
                            25x² + 9(y + 4)(y + 4) = 225
                                     <u>25x²</u> + <u>9(y + 4)²</u> = <u>225</u>
                                     225         225       225
                                         <u> x²</u> + <u>9(y + 4)²</u> = 1
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The conic section is an ellipse.
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3 years ago
CHEGG The accompanying observations are precipitation values during March over a 30-year period in Minneapolis-St. Paul. 0.32, 0
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Answer:

Mean 1.580666667 1.769333333

Standard Deviation 0.890741799 1.123161779

Step-by-step explanation:

When we run the commands in the R software we get the graphs as follows.

The commands were

qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37))

and

qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))

We can plot the graphs in any other plotting software .

The results would be same .

We see there's a slight difference between the two graphs.

One curve goes above ( Minneapolis) for  0.4 and the other ( for St Paul) is below 0.4

5 0
3 years ago
A square is always an example of a: I. rectangle II. rhombus III. parallelogram I I, II, and III none of these II
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Answer:

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This is a horizontal line on 8 on the y axis

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