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Ivahew [28]
2 years ago
14

10. At a sale on candles, Lexi bought two large candles and five small candles and paid $30. Carl bought one large candle and th

ree small candles and paid $16.75. Find the cost of each
Mathematics
1 answer:
mel-nik [20]2 years ago
6 0

Answer:

Large candle) $6.25

Small candle) $3.5

Step-by-step explanation:

Let x be the cost of a large candle and y be the cost of a small candle.

Because Lexi bought two large candles and five small candles for $30, the first equation is 2x+5y=30.

Because Carl bought one large candle and three small candles for $16.75, the second equation is x+3y=16.75

We have two equations:

2x+5y=30 and x+3y=16.75

   1) Multiply both sides of x+3y=16.75 by 2 to get 2x+6y=33.5

   2) Subract the two equations

       2x+6y=33.5

      - 2x+5y=30

      =        y=3.5

   3) Plug y=3.5 into one of the equations.

       2x+5(3.5)=30

       2x+17.5=30

       2x=12.5

         x=6.25

   4) Check the work by plugging both variable in the other equation

        6.25+3(3.5)=16.75

        6.25+10.5=16.75

        6.75=16.75

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On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
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89.88 gallons of milk

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How do u write 32/100 in expanded form
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In expanded form or decimal form 32/100 is equal to 0.32 or 32% or if simplified the fraction is 8/25
3 0
3 years ago
Read 2 more answers
Find the value of x.<br><br> RZ = 30<br> SW = 5x - 20
Murrr4er [49]
|RZ|=0.5|SW| therefore 2|RZ|=|SW|.

5x - 20 = 2 · 30

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5x = 80    |divide both sides by 5

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5 0
3 years ago
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]

The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.

<h3>How to determine the range of a function?</h3>

Given: 12x + 6y = 24

Here x stands for the input and y stands for the output

Replacing y with f(x)

12x + 6f(x) = 24

6f(x) = 24 - 12x

f(x) = (24 - 12x)/6

Domain = {-4, 0, 5}

Put the elements of the domain, one by one, to estimate the range

f(-4) = (24 - 12((-4))/6

= (72)/6 = 12

f(0) = (24 - 12(0)/6

= (24)/6 = 4

f(5) = (24 - 12(5)/6

= (-36)/6 = -6

The range exists {12, 4, -6}

Therefore, the correct answer is option c. {12, 4, -6}.

To learn more about Range, Domain and functions refer to:

brainly.com/question/1942755

#SPJ4

7 0
1 year ago
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