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:
Having customers fill out a questionnaire about their favorite brand of toothpaste.
The length is 14 yd and the width is 7 yd because 7•2=14 and 14•7= 128 yd²
C) meters because 10 millimeters makes 1 centimeter, 10 centimeters makes 1 decimeter and 10 decimeter makes 1 meter (39.37 inches)
1.If y varies directly with x
Introduce the constant term k
2.y=kx
where k is the constant term
substitute the value of x and y to form the law
-1=3k
k=-1\3
:y=-1\3x....is the law
To find the value of y when x is 9
Reinstate the law which is y=-1\3x and substitute the value of x to find y
y=-1\3*9
y=-3
