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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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3 years ago
A rectangle has an area of 12 square feet and a length of 5 feet .what the width
gladu [14]
Area= Length* Width
⇒ 12 ft^2= 5 ft* Width
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6 0
3 years ago
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
arsen [322]

Answer:

72 mles

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

AB = 78 -- Distance between them

Required

Find OA; Jack's distance

To do this, we make use of Pythagoras theorem

AB^2 = OA^2 + OB^2

This gives:

78^2 = OA^2 + 30^2

6084 = OA^2 + 900

Subtract 900 from both sides

OA^2=  6084 - 900

OA^2=  5184

Take square roots

OA = \sqrt{5184}

OA = 72

<em>Hence, Jill drove 72 miles</em>

5 0
3 years ago
The diagram shows the distances of kitchen appliances in feet. What is the range of distances, d, from the range to the refriger
xxTIMURxx [149]

The correct answer is :

2 < d < 10

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0
3 years ago
Solve for x. Leave your answer in simplest radical form.
strojnjashka [21]

There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "

According to Pythagoras theorem,

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

note :

  • p = perpendicular / opposite side
  • b = base / adjacent side
  • h = hypotenuse

let's solve for " y² " first ( square of other missing side )

➢ \:  \:  {y}^{2}  =  {8}^{2}  + 3 {}^{2}

➢ \:  \:  {y}^{2}  = 64 + 9

➢ \:  \:  {y}^{2}  = 73

now let's solve for " x " , by using pythagorous theorem

➢ \:  \:  {x}^{2}  =  {y}^{2}  +  {6}^{2}

➢ \:  \:  {x}^{2}  = 73 + 36

➢ \:  \:x {}^{2}  =  109

➢ \:  \: x =  \sqrt{109}

Approximate :

➢ \:  \: 10.44 \:  \: units

\mathrm{✌TeeNForeveR✌}

5 0
3 years ago
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