21 chickens and 23 goats=44
21x2=42 23x4=92
42+92 = 134 legs
x=goats y= chikens goats 4 legs chickens 2 legs
x+y=44 x=44-y
4(44-y) + 2(y) =134
176-4y +2y = 134
176-2y=134
-2y= -42
-y= -21
y=21
For this divide the values of longitude and latitude of both the points by 180/pi.
Substitute the value of the variable into the equation and simplify.
54
Answer:
<h2>the radius = 15 cm</h2>
Step-by-step explanation:
let r be the radius of the circle.
→ We know that in circle , the length of an arc
and the corresponding central angle are proportional.
180 corresponds to πr
120 corresponds to 10π
Then
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.
