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:
(a) The dependant veriable is the $120 per hour and the independant veriable is the $75 consultaion fee.
(b) The table of vaules for this would look like this, 
, where C = cost and T = time.
(c) The relationship between C and T is linear, beacause with the more hours you take the cost increases.
(d) Yes, it is sensible because the points would be in line due to the steady increase of the hourly rate.
(e) For every hour spent the cost increases 120 dollars.
(f) The fixed cost is 75 dollars for consultation and the veriable cost is 120 per hour.
Answer:
Two.
Step-by-step explanation:
If Ellie moves five boxes, and Jace can move one for every two Ellie moves, Jace can move two boxes.
Answer:
24.997
Step-by-step explanation:
Let's start with the easy parts of the perimeter...the flat parts...7 + 7 = 14. We'll add that to the arch shortly.
We need to find the circumference of the whole circle, then divide by 4 to get 1/4 of a circle. (There might be a faster way, but this gets the job done.)
circumference = (2)(pi)(r)
= 2(3.142)(7) = 43.988
Now divide that by 4 for the distance of the arch.
43.988/4 = 10.997
Add that to the flat parts
10.997 + 14 = 24.997
Please let me know if you have any questions.
The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
<h3>What is the titanic calculations about?</h3>
The RMS Titanic is known to be a ship that is said to be owned by the White Star Line.
This is known to be the biggest British passenger liner that was said to have sank when it was on its maiden voyage in the year 1912 in the North Atlantic Ocean.
Note that it sank because it was said to have hit an iceberg on Sunday, 14 April 1912.
The Titanic was said to be about 46,328 gross register tons and was known to have displaced about 52,310 tons of water.
So, 1 ton (displacement) ≈ 0.99109 cubic meters (m³)
Therefore, 52,310 tons
= 52,310 × 0.99109 m³
≈ 51843.918 m³
Therefore, The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
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