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sweet-ann [11.9K]
3 years ago
13

8/9 + (-5/6) _________ 1/6

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0
Hellloooooooodoodordododododod
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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
Liem is 6 feet 2 inches, Eli is 5 feet 9 inches, Faith is 6 feet, and Simon is 5 feet 4 inches. In yards, what is the total of t
Oksi-84 [34.3K]
<span>First step is find total height of all the figures expressed in feet: Liem: 6 ft 2 inch = 6,167 ft Eli: 5 ft 9 inch = 5,75 ft Faith 6 ft Simon: 5 ft 4 inch = 5,34 ft To calculate the total height we need to know that 12 inches are 1 foot 6’2”+5’9”+6+5’4”= 22 ft 15 inch = 23 ft 3 inch Another way is by adding decimal figurel: 6,167 + 5,75 + 6 + 5,34 = 23,25 feet Then we know that 3 feet are 1 yard, so then total height is: 23,25 / 3 = 7,75 yards</span>
7 0
3 years ago
Amanda went to the salon for a haircut. It cost $50. She gave a 15% tip. What was the total cost?
Ket [755]

Answer:

I believe she paid $57.50

Step-by-step explanation:

I turned the percent into a decimal (.15) then I multiplied the decimal by 50 and got 57.50.

6 0
3 years ago
Write the sum using sigma notation 3^2+4^2+5^2+...+10^2
Vitek1552 [10]

     \sum\limits_{i=3}^{10}\big i^2

or:

     \sum\limits_{i=1}^{8}\left(2+i\right)^2

or:

    x₁=3, x₂=4, x₃=5, .... x₈=10

    \sum\limits_{i=1}^{8}\big x_i^2

6 0
3 years ago
Order from least to greatest 2/3,0.67,5/9,0.58,7/12
dimaraw [331]

Answer:

Order from Least to Greatest ---> 5/9 , 0.58 , 7/12 , 2/3 , 0.67

Step-by-step explanation:

5/9 < 0.58 < 7/12 < 2/3 < 0.67

6 0
2 years ago
Read 2 more answers
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