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krok68 [10]
3 years ago
14

The florist charges $31.75 for eight roses and five carnations. For one rose and three carnations, it cost $5.75. What is the co

st for a carnation?
Mathematics
1 answer:
Sedbober [7]3 years ago
5 0

Cost for a carnation is $0.75

Step-by-step explanation:

Let,

Rose = x

Carnation = y

According to given statement;

8x+5y=31.75   Eqn 1

x+3y=5.75   Eqn 2

Multiplying\ Eqn\ 2\ by\ 8\\8(x+3y=5.75)\\8x+24y=46 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 1\ from\ Eqn\ 3\\(8x+24y)-(8x+5y)=46-31.75\\8x+24y-8x-5y=14.25\\19y=14.25\\Dividing\ both\ sides\ by\ 19\\\frac{19y}{19}=\frac{14.25}{19}\\y=0.75

Cost for a carnation is $0.75

Keywords: Linear equations, Addition

Learn more about linear equations at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

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Gre4nikov [31]

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 5 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (1, 2) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = 3x - 1 ← equation of parallel line

5 0
3 years ago
At the beginning of my bike ride I feel good, so I can travel 20 miles per hour. Later, I get tired and travel only 12 miles per
Vesnalui [34]

Answer: 3\dfrac{1}{4} hours

Step-by-step explanation:

Let x be the time ( in hours ) you feel good and y be the time ( in hours ) that you get tired.

As per given , we have

x+y= 8

Since : Distance = Speed\times Time

So , we have

20x+12y=122

According to the given question , we have the following system of equations ,

x+y= 8--------(1)\\\\20x+12y=122------------------(2)

Multiply 12 on both sides of equation (1) , we get

12x+12y=96------------(3)

Eliminate equation (3) from (2) , we get

8x=26\\\\\Rightarrow\ x=\dfrac{13}{4}=3\dfrac{1}{4}

Hence, you felt 3\dfrac{1}{4} hours good.

3 0
3 years ago
9x-2y=11 <br> 5x-2y=15 <br> what is the solution to the above system of equations<br> ASAP
natali 33 [55]

9x - 2y = 11 ... (i)

5x - 2y = 15 ... (ii)

Subtracting equation (ii) from (i) we get;

4x + 0 = -4

4x=-4 , x = -1

Replacing x = -1 in equation (i) we get;

9(-1) - 2y = 11

-9 - 2y = 11

-2y = 20

y = 20 ÷ -2 = -10

The solution to the system of equations is (-1,-10).

8 0
3 years ago
Read 2 more answers
Work out m and c for the line:2y+3x=5
Gekata [30.6K]

Step-by-step explanation:

General line equation: y = mx + c.

2y + 3x = 5

2y = -3x + 5

y = -1.5x + 2.5

Hence m = -1.5 and c = 2.5.

5 0
2 years ago
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Evaluate each of the following expressions for x = 16 and y = 4.
Contact [7]
Not to good with math but the answer may be B
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