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:
34.5
Step-by-step explanation:
Add up all the numbers. 10+8+6+5=29. Then divide 29 by 100. Then multiply 10x What you got from 100/29. Sorry if thats confusing hope that helps!
Answer:
Question 13: 90, Question 14: y =
, Question 15: x =
, Question 16: y =
.
Step-by-step explanation:
A community needs to raise at least $5000 to build a new skateboarding
park. They are selling backpacks for $25 each to raise the money. Write
and solve an inequality to determine the minimum number of backpacks
they need to sell in order to reach this goal.