Answer:
see below
Step-by-step explanation:
This is a geomtric sequence
an = a1 r^(n-1)
a1 =1 and r=2
an = 2 ^(n-1)
A=a1 =1
B =a2 = 2^(2-1) =2
C =a3 = 2^(3-1) = 2^2 =4
D = a4 = 2^(4-1) = 2^3 = 8
E = a5 = 2^(5-1) = 2^4 = 16
F = a6 = 2^(6-1) = 2^5 = 32
G = a7 = 2^(7-1) = 2^6 = 64
H = a8 = 2^(8-1) = 2^7 = 128
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
We have to find slopes one by one.
#1
- Line passes through this.
#2
#3
- Not possible (Line passes through y axis as one co-ordinate is (0,1))
#4
#5
- Line doesnot pass through this.
Answer:
1/2x + 1/3 = y
Step-by-step explanation:
3x + 2 =6y
Divide each side by 6
3x/6 + 2/6 = 6y/6
Simplify
1/2x + 1/3 = y
Answer:
25%
Step-by-step explanation:
8/32= 25%
