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VLD [36.1K]
3 years ago
6

Describe one method you can use to write a fraction as a decimal.

Mathematics
1 answer:
solmaris [256]3 years ago
7 0
Divide the numerator by the denomonator

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The perimeter of a rectangle is 182 ft. The width is two more feet than the length . Find the length and width.
Kamila [148]

Let's call the width w and the length l based on this, we can make two equations based on the first and second sentences in the problem.

w = l + 2

2l + 2w = 182


If we substitute l + 2 for w into the second equation, we can make the following:

2l + 2(l + 2) = 182

  • Substitute

2l + 2l + 4 = 182

  • Use the Distributive Property

4l + 4 = 182

  • Combine like terms

4l = 178

  • Subtract 4 from both sides

l = \dfrac{178}{4} = \dfrac{89}{2}

  • Divide both sides by 4 and simplify

Now, let's find w:

w = l + 2 = \dfrac{89}{2} + 2 = \dfrac{93}{2}


The length of the rectangle is \boxed{\dfrac{89}{2} \,\textrm{ft}} and the width of the rectangle is \boxed{\dfrac{93}{2} \,\textrm{ft}}.

5 0
3 years ago
Calculate the premiums for the following insurance policies. (Help!!!! Active Quiz)
Sonbull [250]
Automobile insurance: 809.50
comprehensive coverage: 64

Based on the note:
subtract 64: 809.50 - 64 = 745.50
multiply by 150% : 745.50 x 1.5 = 1,118.25
add 64: 1,118.25 + 64 = 1,182.25

The new total is 1,182.25
7 0
3 years ago
Read 2 more answers
The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month. Assume that this mean was base
Effectus [21]

Answer:

a) 17.09 hours

b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 49 - 1 = 48

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0106

The margin of error is:

M = T*s = 2.0106*8.5 = 17.09

s is the standard deviation of the sample. 17.09 hours is the answer for a.

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours

The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours

The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

8 0
3 years ago
Someone help me with this please!
kifflom [539]

Answer:

input:                    x+4                   output        (x,y)

-2                        -2 + 4 =2               2             (-2,2)

0                          0 + 4 = 4              4              (0,4)

2                           2 + 4 = 6              6             (2,6)

...

Step-by-step explanation:

continue by plugging in x to the equation, x is input and y is output

then just plot your (x,y) points on the graph.

4 0
2 years ago
Write each percent as a fraction in simplest form.<br> 45%
Ainat [17]

Answer:

9/20

Step-by-step explanation:

Percent means out of 100

45/100

Divide the top and bottom by 5

9/20

5 0
3 years ago
Read 2 more answers
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