Marcus has been running a beverage cart on weekends at the beach, selling water and soda. Last Saturday, he sold 40 bottles of water and 25 sodas, bringing in $110. Sunday, he sold 50 bottles of water and 45 sodas, making $165. What are the prices for each beverage option?

Answers

Answer 1

Answer:

$2 for soda and $1.5 for a bottle of water

Step-by-step explanation:

You start by turning both situations into an equation

Let x represent bottles of water and y represent sodas

Saturday:

[tex]40x+25y=110[/tex]

Sunday:

[tex]50x+45y=165[/tex]

You then want to start by cancelling out the x in this equation, to do that you want 40x to become -50x so you:

50÷40=1.25

You then times the whole equation by -1.25

40x+25y=110

×-1.25

-50x+-31.25y= -137.5

You then add this equation by Sunday's equation

50x+45y=165

-50x+-31.25y=-137.5

          13.75y=27.5

You now want to make the co-efficient of y a whole number (for example 15) so you divide 15/13.75=1.09 recurring

13.75y=27.5

×1.09 recurring

    15y=30

15y/15=30/15

     y=2

Now that we know y = 2

We can use either Saturday or Sunday's equation to figure out the value of [tex]x[/tex]

Let's use Sunday's:

50x+45×2=165

50x+90=165

50x+90-90=165-90

50x/50=75/50

x=1.5

Let's check our answer with Saturday's equation

40×1.5+25×2=110

This equation is correct

Therefore the prices for each beverage option is $1.5 for a bottle of water and $2 for a soda


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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Solve by Substitution

2x − 4y = 8 and 7x − 3y = 61

Solve for x in the first equation.

x = 4 + 2y 7x − 3y = 61

Replace all occurrences of x with 4 + 2y in each e quation.

Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61

x = 4 + 2y

Simplify 7 (4 + 2y) − 3y.

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x = 4 + 2y

Solve for y in the first equation.

Move all terms not containing y to the right side of the equation.

11y = 33

x = 4 + 2y

 Divide each term by 11 and simplify.

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Replace all occurrences of y with 3 in each equation.

Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)

y = 3

Simplify 4 + 2 (3).

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The solution to the system is the complete set of ordered pairs that are valid solutions.

(10, 3)

The result can be shown in multiple forms.

Point Form:

(10, 3)

Equation Form:

x = 10, y = 3

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Sub in 4+2y for x so 7(4+2y)-3y=61

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Explanation:
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Answers

Answer:

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Step-by-step explanation:

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so 2 bags for £3.50 is better than 3 bags for £9

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Answer:

I can tell you that a positive line is increasing to the right and a negative to the left.

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Answers

Answer:

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Step-by-step explanation:

the required equation would be \(y=2.5x\).

Answer:

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Step-by-step explanation:

trust me I know I'm right

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Hope this help :)

Answer:

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Step-by-step explanation:

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so if we had a slope of 2/3

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1. Suppose that during its flight, the elevation e (in feet) of a certain airplane and its timet
in minutes since takeoff, are related by a linear equation. Consider the graph of this
equation, with time represented on the horizontal axis and elevation on the vertical
axis. For each situation, decide if the slope is positive, zero, or negative.
a. The plane is cruising at an altitude of 37,000 feet above sea level.
b. The plane is descending at rate of 1000 feet per minute.
c. The plane is ascending at a rate of 2000 feet per minute.

Answers

Answer:

A:zero

B:negative

C:positive

Step-by-step explanation:

the key words just tell you for A it was cruising B it was negative because descending and C is positive because ascending.

The correct explanation for the slope will be;

a) When the plane is cruising at an altitude of 37,000 feet above sea level, then the slope is zero.

b) When the plane is descending at rate of 1000 feet per minute, then the slope is negative.

c) When the plane is ascending at a rate of 2000 feet per minute. then the slope is positive.

What is mean by Slope?

The slope of line is a measure of its steepness.

Given that;

During its flight, the elevation e (in feet) of a certain airplane and its time

in minutes since takeoff, are related by a linear equation.

In the graph, time represented on the horizontal axis and elevation on the vertical axis.

Now,

a) When the plane is cruising at an altitude of 37,000 feet above sea level, then the slope is zero.

Because the plane is cruising.

b) When the plane is descending at rate of 1000 feet per minute, then the slope is negative.

Because the plane is descending.

c) When the plane is ascending at a rate of 2000 feet per minute. then the slope is positive.

Because the plane is ascending.

Thus, The correct explanation for the slope will be;

a) When the plane is cruising at an altitude of 37,000 feet above sea level, then the slope is zero.

b) When the plane is descending at rate of 1000 feet per minute, then the slope is negative.

c) When the plane is ascending at a rate of 2000 feet per minute. then the slope is positive.

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https://brainly.com/question/16949303

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Identify the function shown in this graph.



A.
y = 3x – 2

B.
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=
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2
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Step-by-step explanation:

See Attachment:

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Step-by-step explanation:

Ellen plans to leave an 18 percent tip with her $23.75 lunch bill. Which of these expressions could she use to determine her total bill? Check all that apply.
Ellen plans to leave an 18 percent tip with her $23.75 lunch bill. Which of these expressions could she use to determine her total bill? Check all that apply.

Answers

You probably forgot to mention the options. After a little research, I was able to get the complete question with the mentioned options you should have mentioned. The potential complete question is:

Ellen plans to leave an 18 percent tip with her $23.75 lunch bill. Which of these expressions could she use to determine her total bill?

Check all that apply.

(1.18)(23.75) 23.75 – [(0.18)(23.75)] 23.75 + [(0.18)(23.75)] (0.18)(23.75)

Answer:

The expression [tex]23.75\:+\:\left[\left(0.18\right)\left(23.75\right)\right][/tex] will determine her total bill.

Step-by-step explanation:

Total lunch bill = $23.75

As he pans to 18% tip of the total bill, so the expression will be:

[tex]=23.75\:+\:\left(\:18\%\:\:of\:\:23.75\:\right)[/tex]

[tex]=23.75\:+\:\left(\:\frac{18}{100}\:\times \:23.75\:\right)[/tex]

[tex]=23.75\:+\:\left(\:0.18\times \:23.75\:\right)[/tex]

or

[tex]=23.75\:+\:\left[\left(0.18\right)\left(23.75\right)\right][/tex]

Therefore, the expression [tex]23.75\:+\:\left[\left(0.18\right)\left(23.75\right)\right][/tex] will determine her total bill.

Answer:

(1.18)(23.75)

23.75 + [(0.18)(23.75)]

Step-by-step explanation:

ur welcome

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Answers

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Answer:

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Step-by-step explanation:

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You have to go to heaven and you can call me when I can get it to you I don’t want you have
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