16n+8=4
16n=4-8
16n=-4
n=-4/16
n=-1/4.
35a + 25c = 2660
a = 2c
35(2c) + 25c = 2660
70c + 25c = 2660
95c = 2660
c = 2660/95
c = 28 <=== there were 28 children tickets
a = 2c
a = 2(28)
a = 56 <== there were 56 adult tickets
Y = 5x
Y is vertical axis, x is horizontal. Whatever the value of x is, y is 5 times that number
Answer:
Therefore $98 is be charged a bus containing 30 people.
Step-by-step explanation:
Given that,
A state park charges an entrance fee based on the number of people in vehicle.
Let the entry fee for the vehicle be E and entry fee for each person be x.
Then
C= E+(P×x)
C= Total charge in $
E= entry fee for a vehicle
P=No. of person
x= Entry charge per person.
Given A car containing 2 people charged $14
C=$14, P=2
∴14= E+(2× x)
⇒E+2x=14.....(1)
Again A car containing 4 people charged $20
C=$20, P=4
∴20= E+(4× x)
⇒E+4x=20.....(2)
Subtract (1) from (2), we get
E+4x-(E+2x)= 20-14
⇒E+4x-E-2x=6
⇒2x=6
⇒x=3
Putting the value of x in equation (1)
E+(2×3)=14
⇒E=14-6
⇒E=8
Therefore E=$8 and x=$3
Next we check whether our assumption is correct or wrong. Putting the value of E and x for third case
Here P= 8
Therefore C= E+(P×x)
= 8+(8× 3)
=8+24
=$32
Therefore our assumption is correct.
Now C=? , P= 30
The charged for the 30 people is
C= $[8+(30×3)]
=$[8+90]
=$98
Therefore $98 is be charged a bus containing 30 people.
Answer:
y=20x
Step-by-step explanation:
Since y represents the total cost y is the total. 20x because it is 20 dollars an hour and x after 20 because we do not know how many hours they will plan for lessons.