Answer: The greatest number of playlist Katherine can make =8
Each of playlist will have 4 pop songs and 9 rock songs.
Step-by-step explanation:
Given: The number of pop songs Katherine has= 32
The number of rock songs Katherine has= 72
If she want to make playlist such that in each playlist there is equal number of pop and rock songs, we need to find the GCF(greatest common factor) of 32 and 72.
We know that 
We can see the GCF(32,72)=
Hence, the greatest number of playlist Katherine can make =8
The number of pop songs= 
the number of rock songs=
Each of playlist will have 4 pop songs and 9 rock songs.
Answer:
21000
Step-by-step explanation:
To find estimate, round all the values to the nearest thousands
5,789 is 6000
8,356 is 8000
6,561 is 7,000
add.
6000+8000+7000
21000
7.75 pounds of seed are needed per acre
A = L * W
A = 70
70 = L * W
P = 2(L + W)
P = 34
34 = 2(L + W)
34/2 = L + W
17 = L + W
17 - W = L
70 = L * W
L = 17 - W
70 = W(17 - W)
70 = -W^2 + 17W
W^2 - 17W + 70 = 0
(W - 10)(W - 7) = 0
W - 10 = 0 L = 17 - 10
W = 10 L = 7
W - 7 = 0 L = 17 - 7
W = 7 L = 10
so either the width is 10 meters and the length is 7 meters OR the width is 7 meters and the length is 10 meters
Answer:
Step-by-step explanation:
(12 - 2)/(2 - 7) = 10/-5 = -2
y - 12 = -2(x - 2)
y - 12 = -2x + 2
y = -2x + 14