You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each soda costs $1.50. At the end of the night, you made a total of $225.75. You sold a total of 126 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. What equations did you use to solve this? How many hot dogs were sold and how many sodas were sold?

A.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 49 hot dogs and 77 sodas.

B.
x + y = 126 and 2.25x + 1.50y = 225.75 ; 77 hot dogs and 49 sodas.

C.
2.25x + 1.50y = 126 and x + y = 225.75 : -283.5 hot dogs and 509.25 sodas.

D.
There is not enough information

Answers

Answer 1

Answer:

Hello again! Fellow Connexus user? Because I just had this on my Honors Algebra 1 test today. Anyways the answer is: A. x + y = 126 and 2.25x + 1.50y = 225.75; 49 Hot Dogs and 77 Sodas.

Step By Step Explanation:

To verify just use the substitution method to solve the equations x+y=126 and 2.25x + 1.50y = 225.75 then you'll get your x (Number of Hotdogs) and y (Number of Sodas)

Hope this helps!

Answer 2

The required equations are use to solve this problem;

[tex]x + y =126[/tex]

[tex]2.25x + 1.50y = 223.75[/tex]

There are x = 49 hot dogs, and y = 77 sodas were sold.

Given that,

Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

You sold a total of 126 hot dogs and sodas combined.

We have to determine,

What equations did you use to solve this.

And How many hot dogs were sold and how many sodas were sold.

According to the question,

Let, The x represent the number of hot dogs,

And y represent the number of sodas.

Then,

You sold a total of 126 hot dogs and sodas combined.

Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.

[tex]x + y =126[/tex]

And Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

Then,

Cost of each hot dogs + cost of each soda = total earning end of the night

[tex]2.25x + 1.50y = 223.75[/tex]

On solving both the equation,

[tex]x + y = 126\\\\x = 126-y[/tex]

Substitute the value of x in the equation 2,

[tex]=2.25(126-y) + 1.50y = 225.75\\\\= 283.5 -2.25y + 1.50y = 225.75\\\\= - 0.75 y = 225.75 - 283.5\\\\= - 0.75y = -57.75\\\\= y = \dfrac{-57.75}{-0.75}\\\\= y = 77[/tex]

Then,

Substitute the value of y in the equation 1,

[tex]x + y = 126\\\\x + 77 = 126\\\\x = 126-77\\\\x = 49[/tex]

Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.

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Related Questions

A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 44 and 2/3 pounds of beef,how many hamburgers can they make?


Answers

Answer:

67 hamburgers

Step-by-step explanation:

In order to find the answer to this question, you must do the following equation:

44÷2/3. The answer to this is 66.

Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!

So, the cook can make 67 hamburgers.

The average temperature in the Arctic Circle is -25 celsius. To the nearest integer, what is the average temperature in the Arctic Circle in degrees Fahrenheit?

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The temperature in the attic circle would be -25 celsius

HELPPP I need help Bc yeaa…

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Answer:

hehehehe hey lois im in brainly

Step-by-step explanation:

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Find the least common denominator for these fractions. Enter your answer in
the space provided.
5/6
and
5/4

Answers

Answer:

LCD = 12

Equivalent Fractions with the LCD

5/6 = 10/12

5/4 = 15/12

Step-by-step explanation:

Rewriting input as fractions if necessary:

5/6, 5/4

For the denominators (6, 4) the least common multiple (LCM) is 12.

LCM(6, 4)

Therefore, the least common denominator (LCD) is 12.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

5/6 = 5/6 × 2/2 = 10/12

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I used a least common denominator calculator so I hope this helped!!

Bill wanted to know how many times students at his middle school go to the beach each week during the summer. He surveyed every other middle school student at the mall last Saturday. After analyzing the data collected, Bill determined that the average student from his middle school goes to the beach about 2.4 times a week during the summer. What error did he make in the survey?

Answers

The survey was intended for Bill's middle school during the summer. The

survey was administered to students of other schools on a Saturday.

The type of error is the selection bias error.

Reasons:

The type of error made is a non sampling error, given that the target of the

study is the number of times in a week students at his middle school

attend the beach during the summer.

The errors are; Selection bias error.

The given that the students survey are not from his middle school.The survey was carried out once on a Saturday, where the target was during the summer.

The selection bias error is a type error that is due to the researcher

chooses what to study, such that the participant have common

characteristics rather than being random.

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Why is cube root of 9 equal to 9 to the one third power question mark

Answers

Answer:

3

just because

Answer:

See below

Step-by-step explanation:

[tex]\sqrt[3]{9}=9^{\frac{1}{3}}[/tex]

[tex](\sqrt[3]{9})^3=(9^{\frac{1}{3}})^3[/tex]

[tex]9=9^{\frac{1}{3}*3[/tex]

[tex]9=9^\frac{3}{3}[/tex]

[tex]9=9^1[/tex]

[tex]9=9[/tex]

Remember that [tex](a^b)^c=a^{b*c}[/tex]

Susan reads a book at a rate of 1 page every 3 minutes. if her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages ?

Answers

Answer:

54

Step-by-step explanation:

okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30  and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers  then that's your answer

A chef prepared 100 plates of shrimp. There were 8 shrimp on each plate. How many shrimp did the chef prepare?

Answers

Answer:

800 shrimp

Step-by-step explanation:

100 plates of shrimp

8 shrimp on each plate

100 × 8 = 800

= 800 shrimp were prepared by the chef

Hope this helps.

Use the numbers from the item bank down below to write the value of each expression

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1. Value=206

2. Value=205

3. Value= 208

4. Value=207

What is the square root of -2x^2

Answers

Answer:

-2x

Step-by-step explanation:

the answer for the question is -2x

what percent of 75cm is 5cm​

Answers

Answer:

6.67%

Step-by-step explanation:

5 / 75 = 0.066667

(0.066667)(100) = 6.67%

A sixth grade class collects 176 items for recycling three out of every eight items are cans the rest are bottles how many bottles does the class collect

Answers

Answer:

110

Step-by-step explanation:

We know that 5/8 of 176 so the answer is 110.

110 bottles class collect.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A sixth grade class collects 176 items.

Now,  three out of every eight items are cans

= (8- 3)

= 5

So, number of bottles class collect

= 176 x 5 / 8

= 22 x 5

= 110

Hence, 110 bottles class collect.

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Solve for x. Round to the nearest hundredth. 10^x = 42

Answers

Answer: The answer is 1.62.

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E varies directly with G. When G is 6, E is 10. Find the value of G when E is 18

Answers

Answer: multiply 6 by 3 and 10 by 3

Step-by-step explanation:

G = 10.8

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Judith bought a rowboat priced at 671.65.shipping anf handling cost and additional 20% of the prices What was the total cost of the rowboat,including shipping and handilng?

Answers

Answer:

805.98

Step-by-step explanation:

671.65x.20=134.33

134.33+671.65=805.98

find the 99th term of the arithimic sequence 2, 5/2, 3, 7/2, ...

Answers

Answer:

99th term is 51

Step-by-step explanation:

Arithmetic sequence equation

a1= first term = 2

d= common difference = 0.5 or 1/2

2, 5/2 = 5/2 - 2 = 0.5 or 1/2

3 - 5/2 = 1/2

7/2 - 3 = 1/2

an = a1 + (n - 1)d

a99 = 2 + (99-1) 1/2

a99= 2 + 98 (1/2)

a99 = 2 + 49

a99 = 51

lcm of 5,12 and 20????,

Answers

Answer: 60

Step-by-step explanation:

What is the solution of this inequality? r−6>−11

Answers

Answer:

r > -5

Step-by-step explanation:

r - 6 > -11

 + 6   + 6

---------------

r > -5

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have a miraculous day, and brainliest is immensely appreciated!! <3

Izzo's Pizza sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what she found.
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Thin crust
344
Thick crust
391
Stuffed crust 155
Pan style
185
Based on this information, or the next 3500 pizzas she sells, how many should she expect to be thin crust? Round your answer to the nearest whole number. Do
not round any intermediate calculations.

Answers

Total number of Pizzas sampled = 344+391+155+185 = 1075

No. of Thick crust Pizzas in sample = 391

Proportion of Thick crust Pizzas in sample = 391/1075

Expected number of Thick crust in next 3500 pizzas = 3500*(391/1075)

Expected number of Thick crust in next 3500 pizzas = 1273

Out of 3500, he may expect 1273 pizzas to be thick crust

Carter has a rope that is 6 meters long. He cuts the rope in half. Then he cuts one of the halves into pieces that are 1-third meter each.

Answers

He would have 4 pieces of rope

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The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is increasing at a rate of 9 cm/s. Find the rate at which the area of the triangle changes when the height is 12 cm and the base is 4 cm.

Provide your answer below:
The rate of change of the area of the triangle is ___ cm²/s.

Answers

Answer:

Step-by-step explanation

Area of a triangle

      A = ½bh

dA/dt = ½(b(dh/dt) + h(db/dt)

dA/dt = ½(4(9) + 12(-5))

dA/dt = ½(36 - 60)

dA/dt = ½(-24)

dA/dt = -12 cm²/s

The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].

What is Area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.

A shape's area can be calculated by contrasting it with squares of a known size.

[tex]\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s[/tex]

[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s[/tex]

[tex]\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )[/tex]

[tex]\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s[/tex]

Hence, The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].

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1. How can you tell by looking at each graph that a proportional relationship exists between the quantities? 2. Find the constant of proportionality for each graph. Write your answer as y = kx.

Answers

Answer:1. How can you tell by looking at each graph that a proportional relationship exists between the quantities?

relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

2. Find the constant of proportionality for each graph. Write your answer as y = kx.

y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Step-by-step explanation:

88π
Rational or irrational
Good answer i mark brainlest

Answers

Answer:

Irrational

Step-by-step explanation:

The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.

Answer:

Irrational

Step-by-step explanation:

π is irrational and 88 is rational number.

The product of the two is irrational.

can someone drop the awnser please

Answers

Answer:

b

Step-by-step explanation:

Answer: if you can choose multiple its c and d, otherwise i would just use c

Step-by-step explanation:

I’m having a lot of trouble with this question

Answers

Answer:

Function C has the greatest initial value

Function B has the greatest rate of change

Step-by-step explanation:

C is greatest for initial value because the line intercepts at 2 and i think B intercepts at -1 then as u can see A intercepts at 0 or origin

B is the greatest rate of change or slope because it goes up by 3 and then A goes up by 5/2 and C goes up by 1/3

rise over run

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Is the point (-2, 5) a solution to the equation 2x + 5y = 0?

Answers

Answer:

No

Step-by-step explanation:

substitute -2 for 'x' and 5 for 'y'

2(-2) + 5(5) = 0?

-4 + 25 = 21, not 0

Pls help thank you so much

Answers

The ANSWER is C. 3(5x+1)

A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 364 gallons?

Answers

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%

Which of the following expressions is equivalent to 7 - 2 (y - 1)

Answers

Since nothing is shown, you can infer.

First to solve the expression:

1) Expand by distributing terms.

[tex]7-(2y-2)[/tex]

2) 2 Remove parentheses.

[tex]7 - 2y + 2[/tex]

3)  Collect like terms.

[tex]-2y+(7+2)\\[/tex]

4) Simplify.

[tex]-2y + 9[/tex]

The expression that is equivalent to [tex]7-2(y-1)[/tex] is [tex]-2y + 9[/tex].

Hope this helps,

- Recordofraganrok

(422 +
+ 72 – 8) and (-2 + 3)
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Answer:

HHSheikh Zayed road is dream of a great weekend and It is a great day ☺️ is the only thing I would like to know that you have received your name is a great day and time of year for me is the only thing I want ☺️☺️ and time again and time of reading is a great time of year for the only way we can do it in a few more days to get to get to the only thing that you have a few more days to get to the next day ☺️ is a great weekend too and time of year is the next

Step-by-step explanation:

return policy and time again and I will be in touch with you have any questions or need any further information please contact me at the only thing I would be in touch with ☺️ is the best ☺️ and time is a good time of the only thing I would

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