Answer:
a = - 2 , b = 8
Step-by-step explanation:
Since the points p and q lie on the graph then they satisfy the equation
(6, 4 ) , substitute x = 6 , y = 4 into the equation
6a + 4b = 20 → (1)
(2, 3 ) , substitute x = 2, y = 3 into the equation
2a + 3b = 20 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate a
- 6a - 9b = - 60 → (3)
add (1) and (3) term by term to eliminate a
0 - 5b = - 40
- 5b = - 40 ( divide both sides by - 5 )
b = 8
Substitute b = 8 into either of the 2 equations and solve for a
Substituting into (1)
6a + 4(8) = 20
6a + 32 = 20 ( subtract 32 from both sides )
6a = - 12 ( divide both sides by 6 )
a = - 2
It is less than 1, because 1/2 is also .5, so that is already less than 1 whole.
Also, any number under 6 divided by 6 (for example: 5 divided by 6, 3 divided by 6) has to be less than one, since 6 can't evenly go into a number lower than it.
Answer:
r = 4
Step-by-step explanation:
First we have to subtract 21.50 from 20.50 because that is how much money it takes to get inside the amusement park.
21.50 - 20.50 = 1
Right now you have only 1 dollar left. now we have to divide 100 by 25 to see how many times you can ride.
100/ 25 = 4
You can ride 4 times
6 pounds will cost $17.88
If you set up a proportion like this: 7.45/2.5=?/6, then all you have to do is cross multiply. 6x7.45 is 44.7, then 44.7 divided by 2.5 is 17.88
Answer:
14x - 55
Step-by-step explanation:
6x - 5 = 8x - 50
6x + 8x = 14x -5-50
-5- 50 = -55
14x -55
