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:
THIS IS HARD
Step-by-step explanation:
The answer to 3) is: x = ±7
Break down the problem into these 2 equations:
x/7 = 1 and -x/7 = 1
Then solve both equation and collect all solutions.
Let me know if this helped you! Good luck Bella4992!
Answer:
Bodmas in full is Bracket Of Division
Bracket Of Division Multiplication Addition and Subtraction
hope that helps you
<h3>Answer:</h3>
x=5, y=2
<h3>Explanation:</h3>
The second equation gives an expression for x that can be substituted into the first equation.
... (y+3) +y = 7 . . . . . .substitute y+3 for x
... 2y + 3 = 7 . . . . . . . colect terms
... 2y = 4 . . . . . . . . . . subtract 3 from both sides
... y = 2 . . . . . . . . . . . . divide both sides by 2
Using the expression for x, we can find its value.
... x = y + 3
... x = 2 + 3 . . . . . . . . . substitute for y
... x = 5
The solution is (x, y) = (5, 2).
