This is very easy to solve once you understanding writing equations. In this case, we could do n+6=100 because we know that the number of songs he has now (n) plus 6 will equal 100. Below is a solution for this equation.
n+6=100
-6 -6
n=94
After solving our equation, we know that Kirk has 94 songs.
Answer:
x = -4 ±3
x = -7,-1
Step-by-step explanation:
x^2 + 8x = -7
1/2 B ^ 2 = 16
x^2 + 8x + 16 = 16 -7
(x + 4) ^2 = 9
x + 4 = ±3
x = -4 ±3
x = -7,-1
If a field is 900 meters squared and one side is twice as big as the other how big is each side
Answer:
(- 
, 
)
Step-by-step explanation:
9x + 8y = 3 → (1)
6x - 12y = - 11 → (2)
Multiplying (1) by 12 and (2) by 8 and adding will eliminate the y- term
108x + 96y = 36 → (3)
48x - 96y = - 88 → (4)
Add (3) and (4) term by term to eliminate y
156x = - 52 ( divide both sides by 156 )
x = 
= -
Substitute this value into either of the 2 equations and solve for y
Substituting into (1)
9(- ) + 8y = 3
- 3 + 8y = 3 ( add 3 to both sides )
8y = 6 ( divide both sides by 8 )
y = 
=
solution is (- , )
Answer:
15 mph
Step-by-step explanation:
Before traffic cleared:
distance = 30 miles
average speed = s
time = t
d = st
30 = st
After traffic cleared:
distance = 176 miles
average speed = s + 29
time = 6 - t
d = st
176 = (s + 29)(6 - t)
30 = st
s = 30/t
176 = (30/t + 29)(6 - t)
176t = (30 + 29t)(6 - t)
176t = 180 - 30t + 174t - 29t^2
29t^2 + 32t - 180 = 0
(29t + 90)(t - 2) = 0
t = -90/29 or t = 2
Time must be a positive number, so we discard the solution t = -90/29.
t = 2
30 = st
30 = s * 2
s = 15
Answer: 15 mph
