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3 years ago

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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.

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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Jack and Jill start driving from the same location. Jack drives 30 miles south while Jill drives west. If Jack and Jill are 78 m

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Answer:

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Step-by-step explanation:

For better understanding, I'll make use of an attachment.

From the attachment,

O represents the start point

$OB = 30$ --- Jack

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Required

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To do this, we make use of Pythagoras theorem

$AB^2 = OA^2 + OB^2$

This gives:

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The correct answer is :

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Just it....

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Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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$\boxed{ \large \boxed{h {}^{2} = {b}^{2} + p{}^{2} }}$

note :

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