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:
<h2>152</h2>
Step-by-step explanation:
<h3>let x= 5 and y= 3</h3><h3 /><h3>x + y = 8</h3><h3>5 + 3 = 8</h3><h3 /><h3>xy = 15</h3><h3>5 × 3 = 15</h3><h3 /><h3>x³ + y³ = ?</h3><h3>5³ + 3³ = ?</h3><h3>125 + 27 = 152</h3>
Answer:
Mean = Mean is all of the numbers added up and divided by the amount of numbers you have added up. Therefore its 414 ÷ 15 = 27.6
Mode = Most common number = 35
Range = Largest number - Smallest number
40 - 5 = 35
Median = 32 (Middle number)
If you plug in 90 into theta, the expression becomes sin(180), which has a value of zero. Therefore 90 cannot be a solution to this equation. Hope this helps.
