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The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.

Write a system of inequalities that can be used to represent this situation.

The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer

Answers

Answer 1

Answer:

Part A

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

192 bottles

Step-by-step explanation:

The given parameters are;

The selling price of a can of lemonade = $2.50

The selling price for each bottle of water = $1.25

The amount the club needs to raise to cover the cost of renting costumes, A = $600

The maximum acceptable cans and bottles = 460

Part A

Let 'x', represent the number of cans of lemonade accepted by the students, and let 'y' represent the number of bottles of water accepted, we have;

The situation can be represented by the following system of inequalities

x + y ≤ 460

2.5·x + 1.25·y ≥ 600

Part B

The number of cans of lemonade sold, x = 144

Therefore, we have;

2.5 × 144 + 1.25·y ≥ 600

1.25·y ≥ 600 - 2.5 × 144 = 240

1.25·y ≥ 240

y ≥ 240/1.25 = 192

y ≥ 192

The least number of bottles of water that must be sold to cover the cost of renting costumes, y = 192 bottles


Related Questions

Which of the following steps were applied to ABCD to obtain A'B'C'D

Answers

Answer:

B. 3 units right and 4 units up

The correct steps were applied to ABCD to obtain A'B'C'D is,

⇒ 3 units right and 4 units up

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

Translation applied to ABCD to obtain A'B'C'D.

Now, We get;

Coordinate of A = (2, 3)

Coordinate of A' = (5, 7) = (2 + 3, 3 + 4)

Hence, The correct steps were applied to ABCD to obtain A'B'C'D is,

⇒ 3 units right and 4 units up

Learn more about the transformation visit:

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Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False

Answers

Answer:

False

Step-by-step explanation:


A car company sells a scale model to of the size of one of its cars.
Complete the following table.
Scale Model
Real Car
2
Area of windscreen (cm)
135
V25
[3]
3
Volume of storage space (cm)
408000

Answers

Answer:

[tex]w = 13500[/tex] --- real windscreen

[tex]v = 408[/tex] --- scale volume

Step-by-step explanation:

Given

[tex]k = \frac{1}{10}[/tex] --- scale factor

See attachment

Required

Complete the table

To get the windscreen (w) of the real car, we do the following computation

[tex]w = \frac{w_{scale}}{k^2}[/tex]

This gives:

[tex]w = \frac{135}{(1/10)^2}[/tex]

[tex]w = \frac{135}{1/100}[/tex]

[tex]w = 13500[/tex]

Next, the volume (v) of the scale mode

We make use of the following computation

[tex]v = v_{real} * k^3[/tex]

So, we have:

[tex]v = 408000 * (1/10)^3[/tex]

[tex]v = 408000 * 1/1000[/tex]

[tex]v = 408[/tex]

Which one could NOT be the probability of an event occuring?

A. 23
B. 3/4
C. 2.3
D. 0

Please help !!!

Answers

Answer:

D

Step-by-step explanation:

there is zero chance of it happening

Describe fully the single transformation that mata tange onto anges
3
2
1
4
5320
4
2
-4

Answers

Answer:

mee.com/pbj-kbyh-bzm

join it fast

I need help please and thank you!!!

Answers

Answer:

Area: 288 m^2

Step-by-step explanation:

First find the area of the big rectangle:

A= L•W

A= 24 • 12

Area = 288 meters squared

So this is the area of the shaded one heh heh…

Hope this helps, have a great summer!

What is the slope of the line represented by the equation y = -1/2x + 1/4

Answers

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y = -1/2x + 1/4

This equation is in slope intercept form

y = mx+b where m is the slope and the y intercept is b

The slope is -1/2 and the y intercept is 1/4

The best description of a dilation of a figure is:
A. an enlargement or a reduction of the figure
B. a slide of the figure
C. a turning of the figure about some fixed point
D. a mirror image of the figure

Answers

Answer:

A. an enlargement or a reduction of the figure

Step-by-step explanation:

The answer is choice A.

dilation A. an enlargement or a reduction of the figure

translation B. a slide of the figure

rotation C. a turning of the figure about some fixed point

reflection D. a mirror image of the figure

A mirror image of the figure

what is the solution to the equation below?
please help!!​

Answers

Answer:

Have you tried photo math.? It can help you find the answer

Step-by-step explanation:

here is the answer bae. Feel free to ask for more

out of 75 student 3 were a scent what percentage was present​

Answers

Answer:

To find a percentage, divide the number present by the total number of students, then multiply that number by 100.

Answer:

96% were present.

Step-by-step explanation:

75/100 , 72/? Find percent (?)

(72*100 / )75

96%

somebody help pls im stuck on this one

Answers

Answer:

x=77 degrees

Step-by-step explanation:

The angles of a triangle always add to  180 degrees.

26 is already taken up 180-26=154

There are 2 angles left 154/2=77

x=77

Write an algebraic equation to represent the following problem:


Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?

PLS I NEED THIS!! I'll give brainiest if correct!!!!!!

Answers

Answer:

$47.60

Step-by-step explanation:

[tex]18+\frac{148}{5} =47.60[/tex] ($)

What are the x-intercepts of the graphed function?

(–3, 0) and (0, 1.5)
(–3, 0) and (1,0)
(–1, 2) and (1, 0)
(0, 1.5) and (1, 0)

Answers

Answer:

Step-by-step explanation:

d

Answer:

D

Step-by-step explanation:

Which shows the correct substitution of the values a, b, and c from the equation 1 = –2x + 3x2 + 1 into the quadratic formula?

Answers

Answer:

a = 3, b = - 2 , c = 0

Step-by-step explanation:

The equation is

[tex]1 = - 2 x + 3 x^2 + 1 \\\\3 x^2 -2x +0 = 0[/tex]

By comparing with the standard equation

[tex]ax^2 + bx + c = 0[/tex]

So,

a = 3, b = - 2 , c = 0

12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.

Answers

Answer:

Amount = £37

Step-by-step explanation:

Let Rose be represented by R.

Let Haydn be represented by H.

Given the following data;

Total amount = £250

Ratio of R:H = 2:3 = 2 + 3 = 5

To find how much Rose earned;

R = 2/5 * 250

R = 500/5

R = £100.

For Haydn;

H = 3/5 * 250

H = 750/5

H = £150

Next, we calculate the amount Haydn gave to charity;

Percent = 42% = 42/100 = 0.42

H = 0.42 * 150

H = £63

To find how much more Rose gave to charity than Haydn;

Amount = R - H

Amount = 100 - 63

Amount = £37

The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.

Answers

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

In the triangle below, what is the sine of 60°?
site
60°
2
1
30°
13
ОА.
NI
O B. 2
O c. 1
D. VE

Answers

Answer:

[tex]{ \boxed{ \bf{formular : } \: { \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}} \\ \sin(60 \degree) = \frac{ \sqrt{3} }{2} \\ { \underline{ \blue{ \tt{ {beckerjnr}}}}}[/tex]

The value of expression sine of 60° is,

⇒ √3 / 2

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle is shown in image.

Now, We know that;

Sin x = Opposite / Hypotenuse

Hence, We get;

⇒ sin 60° = √3 / 2

Thus, The value of expression sine of 60° is,

⇒ √3 / 2

Learn more about the triangle visit;

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Encuentra la solución a los triángulos que cuentan con las siguientes características y represéntalos gráficamente​

Answers

Answer:

unce de Grenada! Nani de suburban don't listen to me in trying to get points here

m∠MNO =____because they are_____ (Fill in the blanks)

Answers

Answer:

No answer is possible from the information provided

Step-by-step explanation:

The is no∠MNO in the image.

Answer:

But then there is no < MNO on the diagram

Which of the following is an irrational number? OA. 67 OB. 564 OC. 19 9 OD. 1.9​

Answers

Answer:

D. 1.9​

Step-by-step explanation:

An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

Complete the solution of the equation. Find the
value of y when x equals 1.
927y=-12
Enter the correct answer
OOD
DONE
?

Answers

The answer is -3 because 9x1=9 subtract 9 from both sides then divide by seven and you are left with -3

PLEASE HELP LAST QUESTION MATH

Answers

9514 1404 393

Answer:

A = 48°B = 115°C = 115°D = 67°E = 48°

Step-by-step explanation:

A and the angle marked 48° are vertical angles, hence congruent.

  A = 48°

B is part of a linear pair with the angle marked 65°, so it is supplementary to that angle.

  B = 115°

C is an alternate interior angle with angle B, so is congruent.

  C = 115°

D is a vertical angle with the one marked 67°, so is congruent.

  D = 67°

E is an alternate exterior angle with the one marked 48°, so is congruent. It is also a corresponding angle with A, so congruent to that as well.

  E = 48°

factorise using suitable identities
x^2 (y+z)^2

Answers

Answer:

Step-by-step explanation:

[tex]x^2 ( y +z)^2 = x^2 (y+z)(y+z)[/tex]                               [tex][ \ (a+b)^2 = (a+b)(a+b) \ ][/tex]

[tex]x^2 - ( y +z)^2 = (x - ( y +z)) (x + (y+z))[/tex]             [tex][ \ a^2 - b^2 = (a-b)(a+b) \ ][/tex]

                  [tex]=(x-y-z)(x+y+z)[/tex]                  

Helllpppp my teacher is being a chihuahua and won’t help meeeee

Answers

Answer:

the constant of proportionality is 9 here as the division of all the numbers leads to the answer 9

Step-by-step explanation:

Answer:

Your constant proportionality is 9 because 2x9=18, 3x9=27, 4x9=36, and 5x9=45.

Step-by-step explanation:

x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.

Answers

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

SURFACE AREA PLEASE HELP

Answers

Answer:

486 yd^2

Step-by-step explanation:

Surface area is just finding the area of each face in a figure and adding it all up.

For the surface area of a cube, use this formula:

(a^2) 6

(a is the side length) a^2 is the area of one face of a cube, then multiply it by 6 since there are 6 faces on a cube.

Use formula with given dimensions:

(9^2) 6 = 486

Surface area is measured in square yards

(yards in this case)

Therefore, the surface area of the cube is 486 yd^2

Hope this helps!

find AD and AB
hhjhh​

Answers

Answer:

y = 13

x = 20.6155281281

Step-by-step explanation:

5^2 + 12^2 = y^2

25 + 144 = y^2

169 = y^2

[tex]\sqrt{169}[/tex] = y

y = 13

y^2 + 16^2 = x^2

13^2 + 16^2 = x^2

425 = x^2

20.6155281281 = x

Hope this helps!

simple Answer:

y = √(119)

x = √(375)

Step-by-step explanation:

harder answer:

12^2 - 5^2 = y^2

y = √(119)

16^2+ √(119) = 375

x = √(375)

2.8-5.3n - 4n + 5 =
plss help again
Thank you!

Answers

Answer:

7.8-9.3n

Step-by-step explanation:

2.8-5.3n - 4n + 5

Combine like terms

2.8 +5 -5.3n -4n

7.8-9.3n

Answer:

In simplest form: 7.8 - 9.3n

Step-by-step explanation:

Equation: 2.8 - 5.3n - 4n + 5

Combine like terms: 2.8 + 5 = 7.8

-5.3n + -4n = -9.3n

Put it all together: 7.8 - 9.3n

Hope this helps! :)

what is the hcf of 12 45 and 75​

Answers

Answer:

3

HCF of 12, 45 and 75 by Prime Factorization

As visible, 12, 45 and 75 have only one common prime factor i.e. 3. Hence, the HCF of 12, 45 and 75 is 3.

Step-by-step explanation:

A regular hexagon abcdef is shown. Work out the size of angle x

Please help

Answers

Answer:

30

Step-by-step explanation:

cause the angles in a hexagon should add up to 720degrees(area) which means each angle in a hexagon is 120.

Angles in a triangle add up to 180

we know that A is 120 and the angles of F and B are equal (this is an assumption) so 180-120=60 then 60/2 (because we have 2 angles) 30

So X=30

(sorry if the answer is incorrect)

Answer:

30

(6-2)(180)/6

=120

∆FAB=180°

180-120=60

x=60/2

=30

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