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fiasKO [112]
3 years ago
10

The ratio of cats to dogs at the animal shelter is 4 to 5. If there are 45 dogs at the shelter, how many total cats and dogs are

there????
Ill give a good 50 pts
Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0
<h3>Answer:  81</h3>

Work Shown:

x = number of cats

(4 cats)/(5 dogs) = (x cats)/(45 dogs)

4/5 = x/45

4*45 = 5x

180 = 5x

5x = 180

x = 180/5

x = 36

There are 36 cats and x+45 = 36+45 = 81 cats and dogs total.

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Answer:

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Step-by-step explanation:

Find the prime factorizations of the two numbers:

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The LCM is the product of common and not common factors with the higher exponent.

LCM = 2 * 3 * 13 = 78

Answer: 78

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Determine the expression you can substitute for y in to solve the system below.
FromTheMoon [43]

Answer:

Step-by-step explanation:

given are the two following linear equations:

                       f(x)  =  y  = 1 +  .5x

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Graph the first equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

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           If y = 0, then  f(x)  =  0  = 1  +  .5x

                                               -.5x  =  1

                                                    x  =  -2

           The resulting data points are  (0,1)  and  (-2,0)

Graph the second  equation by finding two data points.  By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis.

           If x = 0, then  f(0)  =  11  - 2(0)  =  11

           If y = 0, then  f(x)  =  0  = 11  -  2x

                                               2x  =  11

                                                    x  =  5.5

           The resulting data points are  (0,11)  and  (5.5,0)

At the point of intersection of the two equations x and y have the same values.  From the graph these values can be read as x = 4 and y = 3.

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