Answer:
8
Step-by-step explanation:
10x-6=5x+34
-5x -5x
5x-6=34
+6 +6
5x=40
---- ----
5 5
x= 8
// have a great day //
Answer: 8 movies
12 + 1.50x = 3x
Move the variables to one side
12 = 1.50x
Isolate x
8 = x
Check:
3(8)= 24
12.00 + 1.50(8) = 24
Answer:

Step-by-step explanation:
Let the equation of the line be
where, 'm' is its slope and
is a point on it.
Given:
The equation of a known line is:

A point on the unknown line is:

Both the lines are perpendicular to each other.
Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is 
When two lines are perpendicular, the product of their slopes is equal to -1.
Therefore,

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

The equation of a line perpendicular to the given line and passing through (4, -6) is
.
Answer:
60 seconds, 7715 feet
Step-by-step explanation:
Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.
To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.
For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.
Answer:
The real distance from shop to store is 24 kilometers.
Step-by-step explanation:
Given:
Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm
Also Given:
Scale of the map 1 cm = 8 km
We need to find the real distance from the shop to the store.
Solution:
Now we know that;
Distance from shop to store on map =3 cm
1 cm = 8 km
3 cm = Real distance from shop to store
By using Unitary method we get;
Real distance from shop to store = 
Hence The real distance from shop to store is 24 kilometers.