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balandron [24]
3 years ago
13

Christopher went into a restaurant and bought 5 hamburgers and 10 drinks, costing a total of $52.50. Wyatt went into the same re

staurant and bought 2 hamburgers and 9 drinks, costing a total of $31. Write a system of equations that could be used to determine the price of each hamburger and the price of each drink. Define the variables that you use to write the system.
Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer: Hamburger: $6.5

Drink ;$2

Step-by-step explanation:

Hi, we have to write an equation for each one

<em>Christoper</em>

  • 5h +10d = $52.50

Where :

h = price of a hamburger

d = price of a drink

<em>Wyatt:</em>

  • 2h + 9d = $31

Now we have the system of equations:

5h+10d=52.50(1)

2h+9d=31 (2)

Isolating "h" from (1)

5h = 52.50 -10d

h = (52.50 -10d)/5

h = 10.5 -2d

Replacing "h" in (2)

2h+9d=31

2(10.5-2d) +9d=31

21 -4d +9d=31

-4d+9d=31-21

5d= 10

d= 10/5

d= $2

Finally, replacing d in (1)

5h+10d=52.50

5h+10(2) =52.50

5h+20=52.50

5h=52.50-20

5h=32.50

h= 32.50/5

h=$6.5

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Since our touchscreen starts off at a value of 1200, that will be our a variable.

Since the touchscreen is decaying in value by 25%, subtract 0.25 (25% in decimal form) from 1 to get 0.75. 0.75 is going to be your b variable.

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y=1200*0.75^3\\y=506

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Step-by-step explanation:

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Irina18 [472]

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Denise went bowling with her friends at AMF. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a t
Nina [5.8K]

Answer: 4 games

Step-by-step explanation:

Whether Denise bowls or not, he incurs rent for bowling shoes and per bowling he has to pay $4.75 while he rented shoes for $3.

Then the equation is:

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Where

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the floor of a room is in the shape of a square of side 4.8m. the floor is to be covered with square tiles of perimeter 1.2m. Fi
Aloiza [94]

Answer:

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perimeter of square tiles=4a =1.2

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the total cost=256*27=6912

the th coalst cover by the th floor is Rs .6912

7 0
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