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faltersainse [42]
4 years ago
14

A certain pet store has only cats and dogs. the ratio of the number of cats to the number of dogs in the pet store is 2:3. 1/4 o

f the cats and 1/2 of the dogs wear collars. if 48 animals wear collars, what is the total number of animals in the pet store?
Mathematics
1 answer:
svp [43]4 years ago
8 0
The first thing we must do for this case is to define variables.
 We have then:
 x: number of cats
 y: number of dogs
 We write the system of equations:
 x / y = 2/3
 (1/4) x + (1/2) y = 48
 Solving the system we have:
 x = 48
 y = 72
 The total number of animals is:
 x + y = 48 + 72 = 120
 Answer:
 
The total number of animals in the pet store is:
 
120
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Answer:

x<_2

Step-by-step explanation:

first off solve this like a regular equation the >_ dosent matter till later

so basically first multiply - by 13 and -x so you get -13 and x (multiplying two negatives = a positive)

so its 5x-13+x>_9x-7

add 5x and x to get 6x-13 on one side

then you get 6x-13>_9x-7 then subtract -9x from both sides

so its now -3x-13>_-7 add 13 so you get -3x>_6

then divide both sides by -3 (when you divide an equation with a >< or <_ >_ by a negative number that sign switches) so it will now be x<_2

that your final answer hope this helps :)

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The length of a rectangle is 6 in. more than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rect
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1. First, let us define the width of the rectangle as w and the length as l.

2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:

l = w + 6

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4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:

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if l = w + 6, then: 24 = 2w + 2(w + 6)

24 = 2w + 2w + 12 (Expand 2(w + 6) )

24 = 4w + 12

12 = 4w (Subtract 12 from each side)

w = 12/4 (Divide each side by 4)

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l = w + 6

l = 3 + 6

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Step-by-step explanation:

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