Answer:
Division
Step-by-step explanation:
To isolate d and solve the equation, divide 75 by 5.
Answer:
The coordinates of point C are (8,8.5)
Step-by-step explanation:
The picture of the question in the attached figure
Let
----> coordinates of point C
we have that
The horizontal distance AB is equal to
The vertical distance AB is equal to
Find the horizontal coordinate of point C
we know that
so
----> equation A
----> equation B
substitute equation A in equation B
so
The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C
Find the vertical coordinate of point C
we know that
so
----> equation A
----> equation B
substitute equation A in equation B
so
The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C
therefore
The coordinates of point C are (8,8.5)
So first let’s put g(f(x)) together by putting f(x) for every x in g(x)
We get g(f(x))=3(3/4x+3)+4 which is the selling price equation
Then you plug in 20 to find the selling price for 20 muffins.
g(f(x))=3(3/4(20)+3)+4
g(f(x))=3(60/4+3)+4
g(f(x))=3(18)+4
g(f(x))=54+4
g(f(x))=58
So the selling price will be $58 for 20 muffins.
Step-by-step explanation:
0.6x- 1.2x = 6
-0.6x = 6
x = 6/0.6
x = -10
The distance between Car A and car B,When Car A crosses the start line is:
distance =speed car B* time
distance=(15 m/s)(3 s)=45 m
Distance traveled by car A =x, (when the car B is at the same distance from the start line)
time of car A=t
x=10 m/st ⇒ x=10t (1)
Distance traveled by car B=x
time of car B=t-3
x=15(t-3) (2)
With the equations (1) and (2) we make a system of equations:
x=10t
x=15(t-3)
We solve this system of equations:
10t=15(t-3)
10t=15t-45
-5t=-45
t=-45 / -5
t=9
t-3=9-3=6
x=10 t=10 (9)=90
Answer: The time would be 9 seconds for Car A and 6 seconds for car B and the distance would be 90 meters.
