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Mars2501 [29]
4 years ago
8

Solve for x. x + 3 = Sqrt 4x+17

Mathematics
1 answer:
Svetlanka [38]4 years ago
8 0

Answer:

Step-by-step explanation

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There are 100 dogs at Pampered Paws Kennel. Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat 2 lb, an
UNO [17]
The answer is 5 large, 25 medium, 70 small dogs.

x - the number of large dogs
y - the number of medium dogs
z - the number of small dogs

<span>There are 100 dogs at Pampered Paws Kennel:
</span>x + y + z = 100

<span>Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat 2 lb, and small dogs eat 0.5 lb:
3x + 2y + 0.5z = 100

</span><span>There are five times as many medium dogs as large ones:
x = 5y

</span>x + y + z = 100
3x + 2y + 0.5z = 100
y = 5x
____
Substitute y in the first two equations:
x + 5y + z = 100
3x + 2*5x + 0.5z = 100
___
6x + z = 100
13x + 0.5z = 100
____
z = 100 - 6x
13x + 0.5z = 100
____
13x + 0.5(100 - 6x) = 100
13x + 50 - 3x = 100
13x - 3x = 100 - 50
10x = 50
x = 50/10 = 5

y = 5x = 5 * 5 = 25

x + y + z = 100
5 + 25 + z = 100
30 + z = 100
z = 100 - 30
z = 70
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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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4 years ago
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