The drama club at NAMS sells hot chocolate and coffee at the high school football games. At the last game, they had sales of $200. They need to keep track of how many of each type drink was sold so that they can make predictions for future sales. Monica knows that they used 275 cups that night. If the hot chocolate sells for 75 cents and coffee sells for 50 cents, how much of each type of drink were sold?

Answers

Answer 1

Answer:

Coffee = 25

Hot Chocolate = 250

Step-by-step explanation:

Coffee: c

Hot Chocolate: h

0.75h + 0.50c = 200

h + c = 275

h + c = 275

h = 275 - c

0.75h + 0.50c = 200

0.75(275 - c) + 0.5c = 200

206.25 - 0.75c + 0.5c = 200

-0.25c = -6.25

-0.25c/-0.25 = -6.25/-0.25

c = 25

0.75h + 0.5(25) = 200

0.75h + 12.5 = 200

0.75h = 200 - 12.5

0.75h = 187.5

0.75h/0.75 = 187.5

h = 250

Check: c = 25; h = 250

0.75h + 0.50c = 200

h + c = 275

0.75(250) + 0.5(25) = 200

187.5 + 12.5 = 200

200 = 200

h + c = 275

250 + 25 = 275

275 = 275

Answer 2

The drama club sold 250 hot chocolates and 25 coffee drinks.

Equation

Equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of hot chocolate and y represent the number of coffee. From the question the equation are:

x + y = 275   (1)0.75x + 0.5y = 200 (2)

From both equations:

x = 250, y = 25

The drama club sold 250 hot chocolates and 25 coffee drinks.

Find out more on Equation at: https://brainly.com/question/13763238


Related Questions

Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?

Answers

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

Duldupfircdesghjurdjoi

please help!! I'm going to fail!! ​

Answers

B ( the second one)

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

The third side is 36 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

Which of the following is a fifth degree trinomial with a quadratic term and a negative leading
coefficient?

Answers

Please enter in a picture

Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________

Answers

Answer:

$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.10

1. The sales tax of a sweater = $1.2

2. The sales tax of a purse = $2.25

3. The sales tax of a bicycle =  $8.4

4. The sales tax of a TV = $120

5. The sales tax of a radio = $2.1

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

Given:

1. A sweater for $19.99 and a 6% sales tax.

The sales tax of a sweater = 19.99 x 0.06 = $1.2

2. A purse for $45.00 and a 5% sales tax.

The sales tax of a purse = 45 x 0.05 = $2.25

3. A bicycle for $120.00 and a 7% sales tax.

The sales tax of a bicycle = 120 x 0.07 = $8.4

4. A TV for $3000.00 and a 4% sales tax.

The sales tax of a TV = 3000 x 0.04 = $120

5. A radio for $35.00 and a 6% sales tax.

The sales tax of a radio = 35 x 0.06 = $2.1

Therefore, all the required sales tax is given above.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

2x + 3 = x -4
what is the answer ​

Answers

Answer:

Step 1: Subtract x from both sides.

2x+3−x=x−4−x

x+3=−4

Step 2: Subtract 3 from both sides.

x+3−3=−4−3

x=−7

Answer:

x=−7

I need help with the question in the attached image.

Answers

Answer:

Third choice

Step-by-step explanation:

We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6

Brainlyp pls!

You are shopping for bicycles. You have saved $97 and you can save an extra $20 per week. How
many more weeks do you need to spend saving money if the type of bicycle you want costs at
least $185?
(b) Define your variables
(b) Write and inequality and solve

Answers

Answer:

multiple choice?

Step-by-step explanation:

Find the inverse function of f(x)=−32x+4
(Hint: f(x) is the same thing as y. Swap your x and y then get in slope-intercept form (y= form))

f−1(x)=____x+____=____

Answers

The answer equals 24

Calculate the total cost for each item.
6. A computer for $450.00 and a 6% sales tax. _____________________________________
7. A pair of pants for $75.00 and a 5% sales tax. ___________________________________

Answers

Answer:

1. 423     2. 71.25

Step-by-step explanation:

450.00-6%=423

75.00-5%= 71.25

How can you write the equation for a linear function if you know only two ordered pairs for the function?
Drag tiles to complete the explanation. Tiles may be used once, more than once, or not at all.

Answers

Answer: m

one set of ordered pair

b

(In that order)

Step-by-step explanation: Took the test just now, your welcome.

A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds.  What is the scuba divers rate of change?

Answers

Answer:

1 foot = 0.7 secs

Step-by-step explanation:

14 seconds divided by 20 feet = 0.7 seconds per foot descended.

Hope this helps and good luck :)

What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 squared ? (6 points)

4 y cubed over 5 x to the fourth power
4 y to the fourth power over 5 x cubed
5 x to the fourth power over 4 y cubed
5 x cubed over 4 y to the fourth power

Answers

Answer:

5 x to the fourth power over 4 y cubed

What the factor equivalent to x2 + 11x + 24

Answers

Answer:

13x + 24 or 37

Step-by-step explanation:

one of those answers.

Hope this helps and GOOD LUCK :)

how to factor this completely?
25v3 - 40v2 + 35v – 56​

Answers

Answer:

Factor 25v3−40v2+35v−56

25v3−40v2+35v−56

=(5v−8)(5v2+7)

Answer:

(5v−8)(5v2+7)

I NEED HELP ASAP IT IS FOR CHRISTMAS!!!!!!THESE ARE ALL MY POINTS!!
If three kids that want to buy something that cost $35.99 how much would each of them have to pay? Any ideas for what i should get my mom and dad?!!!! please help

Answers

Answer:

They should pay $12 each

Answer:

about 12 dollars probably more with tax maybe around 12.03

Logan multiplied 54,216 by a number less than 1. He thinks the product will be greater than 54,216. Explain why he is incorrect.

Answers

He is incorrect because anything mutipled by 0 is 0!

Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted

How many mammals were there when they were originally counted?

Enter your answer in the box​

Answers

Answer:

The y-intercept represents the number of mammals when they were originally counted.

The y-intercept.is 75.

The asymptote indicates that the number of mammals counted when the study began was 120.

The asymptote indicates that as years pass, the number of mammals will approach 0.

Step-by-step explanation:

im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.

A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?

Answers

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) – 19, f(1) = 34

Answers

Answer:

34, 15, -4, -23 and -42

Step-by-step explanation:

We are to find the first five sequence

when n = 1

f(2) = f(1) - 19

f(2) = 34 - 19

f(2) = 15

when n = 2

f(2+1) = f(2) - 19

f(3) = f(2) - 19

f(3) = 15 - 19

f(3) = -4

when n = 3

f(3+1) = f(3) - 19

f(4) = f(3) - 19

f(4) = -4 - 19

f(4) = -23

when n = 4

f(4+1) = f(4) - 19

f(5) = f(4) - 19

f(5) = -23 - 19

f(5) = -42

Hence the first five terms  in the arithmetic sequence are 34, 15, -4, -23 and -42

What is the polar form of (x + 3)2 + y2 = 9?

r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)

Answers

Answer:

r = -6 cos(θ)

Step-by-step explanation:

got it right on edge

The equation (x + 3)² + y² = 9 into polar form is r = -6 cos(θ). The correct answer would be option (A).

What is the polar form?

The polar form of a complex number is given by r(cos(θ) + i sin(θ)), where r is the distance from the origin and θ is the angle formed by the point and the positive x-axis.

To convert the equation (x + 3)² + y² = 9 into polar form, we can complete the square on the x and y terms:

(x + 3)² + y² = (x² + 6x + 9) + y² = 9

Then we can express x and y in terms of r and θ:

x = r cos(θ) , y = r sin(θ)

Substituting these values into the equation and simplifying:

r² cos²(θ) + 6r cos(θ) + r² sin²(θ) = 9

r²(cos²(θ) + sin²(θ)) + 6r cos(θ) = 0

r² + 6r cos(θ) = 0

r(r + 6cos(θ)) = 0

Since r ≠ 0

So, the polar form of the equation is:

r = -6cos(θ)

Thus, the correct answer would be an option (A).

To learn more about the Polar Coordinates click here:

https://brainly.com/question/614180

#SPJ5

Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his own bowling shoes, bowls 4 games and buys a soda for $0.50. Both friends spend the same amount of money. Show how you can write and solve an equation to find the cost of one game.

Answers

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:

$3 + 3*X

Friend 2:

This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

$0.50 + 4*X

And we know that both friends pay the exact same amount, then we can write:

$3 + 3*X = $0.50 + 4*X

And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

$3 - $0.50 = 4*X - 3*X

$2.50 = (4 - 3)*X = X

This means the cost of each game is $2.50

the dimensions in a rectangle are in the ratio 3:7. if the width is 18 cm, what is the length?

Answers

Answer:

42cm

Step-by-step explanation:

3:7

width:length

18cm width(7cm length/3cm width)=42cm length

There are three times as many girls as boys in a school .Find an expression in term of x for the total number of student in school ,where x represent the number of boys in the school

Answers

Answer:

Total number of students = 4x

Step-by-step explanation:

Let the number of boys be x

Since, no of girls = 3 times the no of boys

So, number of girls = 3x

Total number of students = no of boys + no of girls

Total number of students = x + 3x

Total number of students = 4x

Answer:

The total number of students is 4x

Step-by-step explanation:

Hope this helped have an amazing day!

Look at points C and D on the graph. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. I REALLY NEED IT FAST

Answers

Answer:

The distance between points C and D is 5.83

Step-by-step explanation:

We need to find distance between points C and D

Looking at the graph we can find coordinates (x,y) of points C and D

Coordinates of point C are: (-4,3)

Coordinates of point D are: (1,0)

The formula used to calculate Distance is:

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]

Putting values and finding distance between points C and D

[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]

So, the distance between points C and D is 5.83

What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6

Answers

Answer: C: f(-1)=0

Step-by-step explanation:

To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.

Mikah and Gracie were running laps at the local gym. Mikah ran 1 and 4/8 laps, and Gracie ran 1 and 1/2 laps. Who ran a further distance?

Answers

Answer:

Trick question they both ran equal distance

Step-by-step explanation:

Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.

More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.

This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.

The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11

1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?

Answers

Answer:.

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Isosceles Right

Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.

Answer:

Isosceles Right

Step-by-step explanation:

Why do parallel lines never cross?

Answers Are

Answers

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

Because they have the same slopes and different y-intercepts.

I hope that this is the answer you were looking for!

Have a great day!

Other Questions
Tell Me Fruits Name In Arabic 20 Points Bonus!!! I need help!! ASAP!! A topographic map is shown below. Six different points are labeled (A, B, C, D, E, and F). What is the change in elevation between Point E and Point F , to the nearest 1000 meters? What is the value of x?Enter your answer in the box At 8:00, the temperature was 15 degrees Celsius (C). Three hours later, the temperature was -15C. By how many degrees Celsius did the temperature change? What are the parts of a microscope show picture 100 points!! word bank!ArticleHave you ever cut an apple in half and looked at the layers inside? When you cut something in half, the resulting view is called a cross section. When you look at the cross section of an apple, you see several layers: the skin, the pulp, the core, and the seeds. Much like the apple, Earth is made up of layers, too. If you could look at a cross section of our planet, you would see the crust. the mantle, the outer core, and the inner core. If Earth were an apple, the crust would be the apples skin. The mantle would be the apples pulp, making up most of the inside. Earth also has a central core, similar to an apples core, though Earths core does not contain any seeds! Of course, scientists cannot cut the whole planet in half to see a cross section the way you can with an apple. How do you think scientists know about Earths internal layers?Scientists divide Earths interior into distinct layers.Scientists can distinguish different layers in Earth depending on the properties used to identify each layer. For example, scientists identify the crust, mantle, and core based on each layers basic chemical composition. In other words, the crust, mantle, and core are each made up of different chemical elements. The crust and mantle are composed primarily of the elements oxygen and silicon. These are known as silicates. Silicates of the mantle contain heavier elements. This makes them denser than those found in the crust. The core is composed of the densest materials, primarily iron and nickel. Earths layers can also be identified by using each layers physical state of matter. The crust and the uppermost part of the mantle, together, make up a layer called the lithosphere. The lithosphere is the cool, rigid, outermost layer of Earth. The lithosphere is in the solid In a typical silicate molecule, a silicon atom is bonded to four oxygen atoms. The atoms form a crystal structure.Scientists use models to represent the different layers of Earths interior.When constructing a model of the layers of Earth, scientists need to consider the chemical composition, state of matter, and thickness of each layer. Just like the skin of an apple, Earths crust is very thin compared to the other layers. It is about 2570 km thick beneath the continents. Under the oceans, the crust is only about 57 km thick; however, it is much denser. The mantle is much thicker than the crust is, taking up most of Earths volume. The mantle begins directly beneath Earths crust. It reaches all the way to the outer core, about 2,900 km below the planets surface. In other words, Earth is about 1% crust, 83% mantle, and 16% core.The crust and uppermost mantle are solid. The rest of the mantle is solid with plasticity. The core is made of very dense iron and nickel. The outer core is liquid, because it is hot enough to melt the iron and nickel. The inner core is solid. Even though it is as hot as the outer core, there is so much pressure at the very center of Earth that the iron and nickel stay in a solid state.Looking to the Future: Exploring Earths InteriorDespite what you may have read in stories or seen in movies, scientists have never journeyed to the center of Earth. In fact, scientists have never made it through Earths crust! However, this has not stopped them from trying. The crust at the bottom of the oceans is much thinner than the crust of the continents. Therefore, drilling through the oceanic crust is the best chance that scientists have to make it to the mantle. !!HELP!! What is q times 10? Describe the four levels of protein structure. For each level, include: the name of that level of structure how the protein is arranged at that point in time Answer using 4 to 5 complete sentences. Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below which expression is equal to -3(4x - 2) - 2x? Which stimulus is most likely to cause a shivering response in a human? O A. A squirrel perches on a branch. O B. The temperature drops at night. C. A tree releases pollen into the air. O D. The Sun rises overhead at noon. help please Derive an equationTa=1.44T1/2 If 12 cookies cost $3 how much would it be for 9 cookies What type of reaction occurs between an element and a compound? Assuming 50% efficiency, 150 kcals of chemical energy would result in __________ of kinetic energy.A.50 kcalsB.75 kcalsC.100 kcalsD.150 kcalsPlease select the best answer from the choices provided.x Ao Bo Co Dgym what is 25% more than 6 feet Suri and Dawson are rock climbing. Suri decides to attempt a new skill she has learned. At first, she is successful, but then she loses her grip and falls. Suddenly, the safety ropes catch her, but she smashes her hand on the rock. 1. What is the effect of Suri's fall? is this set of ordered pairs of a function? (1,1) (2,3) (3,4) (4,2) (5,1) Slaves captured or purchased in West Africa by Muslim merchants were resold in all of the following places exceptA: AustraliaB: The BalkansC: The middle east