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mel-nik [20]
3 years ago
7

If the length between points on a map is 6 inches, 8 inches, and 9 inches, and the scale is one inch equals 5 miles, find

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Given:

The length between points on a map is 6 inches, 8 inches, and 9 inches.

The scale is one inch equals 5 miles.

To find:

The distances in miles.

Solution:

The given scale is:

1 inch = 5 miles

Using this scale, we get

6 inches = 6 × 5 miles

               = 30 miles

8 inches = 8 × 5 miles

               = 40 miles

9 inches = 9 × 5 miles

               = 45 miles

The distance is miles are 30, 40, 45 miles.

Therefore, the correct option is C.

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Rita gets paid $16 per hour for the first 8 hours she works each day. She earns 1 1 2 times her hourly pay rate for time she wor
omeli [17]
<h3>The total money earned by Rita on Monday   = $158</h3>

Step-by-step explanation:

The rate by which  Rita is paid first 8 hours  = $16

The next per hour rate after 8 hours = 1\frac{1}{2}    = 1.5 times the usual rate.

Now, 1.5 times $16 = 1.5 x 1 6 =  $24

So, for each hour worked after 8th hour, Rita is paid $24 per hour.

Now, the intervals she has worked are:

(a) from 8:15  to 12: 45 pm

So, the number of hours worked  =  45 minutes + 45 minutes  + 3 hours  

= 4 hours 30 minutes  .... (1)   (as 60 minutes = 1 hour)

(b) break of 45 minutes after 12: 45  = 12: 45 + 45 minutes  

= 12 hour 90 minutes  = 1 :  30 P M

So, she started working at 1: 30 and worked till 6: 15

So, the number of hours worked  =  30 minutes + 15 minutes  +4 hours  

= 4 hours 45 minutes  .... (2)  

So, by adding (1) and (2) the total hours worked by Rita  

= 4 hours 30 minutes + 4 hours 45 minutes    

= 8 hours  75 minutes  = 9 hours 15 minutes

9 hours  15 minutes   = ( 8 +  1 .25 )     ( 15 minutes = 0.25 of an hour)

So, the payment is ( 8 x (16) +  1.25 (24) )  

= 128 +  30  = 158

Hence, the total money earned by Rita  = $158

6 0
3 years ago
The sales tax in the town where Amanda lives is 8%. Amanda paid $40 in sales tax on a new stereo. What was the price of the ster
dusya [7]
$500, 40 divided by 8=5, 5x100= 500
6 0
2 years ago
Is 1.73205 rational?
Assoli18 [71]

Answer:

No, it is not.

Step-by-step explanation:

It can not be turned into a fraction and isn't repeating with the same number.

6 0
3 years ago
Find the slope of the line that passes through each pair of points.
kotegsom [21]
6. m=2
7. m=3
8. m=0
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6 0
2 years ago
Solve the system of equation by the addition method x-2y=11 and -x+6y =-31
Sonbull [250]

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

3 0
3 years ago
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