Answer:
-30,10
Step-by-step explanation:
How to get 60 to -30 : 60 divided by -30 is -2
How to get -20 to 10: -20 divided by 10 is -2
Answer:
B
Step-by-step explanation:
True for all x.
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:
Yes: (3,4,5)
Step-by-step explanation:
10² = 6² + 8²
(10/2)² = (6/2)² + (8/2)²
5² = 3² + 4²
25 = 9 + 16
25 = 25
The sides satisfy the pythagoras theorem
10 is the hypotenuse, 6 & 8 are the legs
5 is the hypotenuse, 3 & 4 are the legs
The value on 4 in 64,500 is on the thousands place and on the 2,402 is on the hundreds place
