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lidiya [134]
3 years ago
5

Use the substitution method to solve the system of equations

Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

you need to give us the equation or we can't help you

Step-by-step explanation:

i'm sorry if this is not what you're looking for :(

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A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car
Artyom0805 [142]

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.

4 0
3 years ago
PLEASE HELP ASAP IN A QUIZ RN
k0ka [10]

Answer:

17 feet

Step-by-step explanation:

cos(65*) =  x/40

x= cos(65*)(40) =16.90 ft

8 0
3 years ago
HELP....................
rjkz [21]

Answer:

-16

Step-by-step explanation:

5*-3.2= -16

8 0
3 years ago
Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo.
cricket20 [7]

Answer:

The sound takes time to go to a point and reflect back to your position.

It means the sound went twice a distance.

=> Suppose it takes about 0.5 seconds to hear the echo, the canyon wall would be [750 x (0.5/3600)]/2 = 0.052 miles

=> Suppose it takes about n seconds to hear the echo, the canyon wall would be [750 x (n/3600)]/2 miles

Hope this helps!

:)

8 0
3 years ago
Is 5/6 close to 1, 0, or 1/2. Explain
Brums [2.3K]
5/6 is closest to 1 because it it 1/6 away from 1 and is 5/6 away from 0 and is 2/6 away from 1/2 (referring 1/2 as 3/6) Hope this helps!
5 0
3 years ago
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