Step-by-step explanation:
2x + 100 = 90
x = -5
Angle A = 45 - 5 = 40.
Answer:
1.Equation ----- 8x=12
2. x=1.5
3. cost of a single song is $1.5
4.$12 gift card will download 8 songs
Step-by-step explanation:
The amount of money the gift card holds is $12
Number of songs bought= 8 songs
Let the cost of a single song to be =$x
The cost of 8 songs will be =$x × 8=$ 8x
So the 8 songs will all cost $12
This means; $ 8x = $12
Equation------ 8x=12
Finding cost of a single song
8x=12------------------divide by 8 both sides
x=12/8------------------simplify
x=3/2 = $ 1.5
Checking for solution
if a single song costs $1.5 , who many songs can a gift card with $12 download?
Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.
Answer: 2mp
Step-by-step explanation: Let "b" represent the speed of the boat in still water
Let "c" represent the speed of the current
Let "t" represent time
Downstream(same direction) =(b+c)*t
Upstream(against current)=(b-c)*t
(b+c)*3=24
(b-c)*4=16
3b+3c=24....all sides can be divided by 3 =b+c=8
4b-4c=16.....all sides can be divided by 4 =b-c=4
Use Elimination method
b+c=8
b-c= 4 Subtracting
=====
2c=4
find c by dividing both sides by 2. c=2
if c=2, substitute to get b
b+2=8
-2=-2
======
b=6
Speed of boat in still water =6mph
rate of current=2mp
Speed = Distance / Time
Distance = Speed*Time
For this problem, we should bear in mind that current speed has an impact on the boat speed...
for upstream, the boat goes against the current, and so its speed is
U = V - C
where V is the speed of the boat
C is the current speed
for downstream, it will be:
D = V + C
Convert the problem into mathematical equations:
4D + 3U = 116
3D + 4U = 108
4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116
3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108
Solving the equations:
7V + C = 116
7V - C = 108
14V = 224
V = 16km/hr —-> speed of boat
to get C:
7(16) + C = 116
C = 4km/hr
Domain:
Range:
Asymptote @ y = -1
Red line in picture is the asymptote.
