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
Answer:
C.
Step-by-step explanation:
5z - 7, you would say 5 times z minus 7, which is the same as 5 less than th product of 7 and a number z
Let the amount of dollars in goods sold be x, then her earning is 1850 + (4/100)x = 1850 + 0.04x.
For her to earn more than $2300, we have:
1850 + 0.04x > 2300
0.04x > 2300 - 1850
0.04x > 450
x > 450 / 0.04
x > $11,250
<h3>
Answer: -2/3</h3>
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Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (8-6)/(2-5)
m = (2)/(-3)
m = -2/3
As you can see, we subtract the y coordinates together. We also subtract the x values together in the same order. If the order is mixed up, then you'll get the wrong sign for the final answer.
The slope is equal to rise over run. Think of "rise" as "change in y", which explains the difference in y values. The run is equal to the change in x, which is the difference in x values.
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