Anna is selling boxes of cookies and tubs of popcorn for a Student Council fundraiser. On Monday, she made $40 selling 4 boxes of cookies and 2 tubs of popcorn. On Tuesday, she made $35 selling 1 box of cookies and 3 tubs of popcorn.

Write a system of equations to represent the cost of a box of cookies, x, and the cost of a tub of popcorn, y.

Answers

Answer 1

Answer:

5 boxes of cookies and 5 tubs of popcorn = $75

Step-by-step explanation:

To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.

Answer 2

The solution is

The cost of box of cookies x = $ 5

The cost of tub of popcorn y = $ 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of cookies be = x

Let the cost of popcorn be = y

And ,

On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn

Substituting the values in the equation , we get

4x + 2y = 40   be equation (1)

And ,

On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn

Substituting the values in the equation , we get

x + 3y = 35   be equation (2)

On simplifying both equations , we get

Multiply equation (2) by 4 , we get

4x + 12y = 140   be equation (3)

Subtracting equation (1) from equation (3) , we get

10y = 140 - 40

10y = 100

Divide by 10 on both sides of the equation , we get

y = $ 10

So , the cost of tub of popcorn is $ 10

Substituting the value of y in equation (2) , we get

x + 3y =  35

x + 30 = 35

Subtracting 30 on both sides of the equation , we get

x = $ 5

So , the cost of box of cookies is $ 5

Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2


Related Questions

HELP MY MOM IS GOING TO KILL ME

Answers

Answer:

−a2+17b

Step-by-step explanation:

Evaluate the expression when a =
and b = 6.
16a? – 4b =

Answers

Answer:

Step-by-step explanation:

16(1/4)^2 - 4(6)

16(1/16) - 24

1 - 24 = -23

Help me I'm too tired to think and this is easy.

Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)

Answers

Answer:

equal to

Step-by-step explanation:

two negatives equals positive

Answer:

Equal

Step-by-step explanation:

Double negative equals a positive. Gn

Samuel is going to invest in an account paying an interest rate of 5% compounded
continuously. How much would Samuel need to invest, to the nearest dollar, for the
value of the account to reach $77,000 in 9 years?

Answers

Answer:

49097

Step-by-step explanation:

Well the answer was in delta math what can I say

Answer:

$49677.4

Step-by-step explanation:

Given data

Interest rate r= 5%

Final amount A = $77,000

time t= 9 years

let us apply the compound interest formula

[tex]A=P(1+r)^t[/tex]

Substitute

[tex]77000=P(1+0.05)^9\\\\77000=P(1.05)^9\\\\77000=P*1.55[/tex]

Divide both sides by 1.55

P=77000/1.55

P=$49677.4

Hence the principal amount should be $49677.4

Anyone know the answer to 2? I really need answers :(

Answers

Answer:

1

Step-by-step explanation:

16 cups of water - 4 cups of paper

4 cups of water - [tex]\frac{4}{16}[/tex] × 4 cups of paper = 1 cup of paper

Answer:

1.

Step-by-step explanation:

16/4=4 and 4/4=1. 4/1 is the unit rate of 16/4. hope that helps

help!! geometry

jjjjjjjjjjjjj

Answers

Answer:

107

Step-by-step explanation:

Since they are congruent triangles angle B is the same as angle D.

To find D, all angles add to 180 degrees, so:

41+32+x=180

73+x=180

X=107

So angle B is 107 degrees

Points!

( you cant respond from the last 2 i did)

have a nice day :)

Answers

thank you very much i respect you for this have a amazing day

Answer:

Thank youuuu!!

Help me pleaseeeeeeeeeeee

Answers

Answer: 990 lb

Step-by-step explanation:

t = (4 x 180) + (3 x 90)

t = 720 + 270 = 990

What percent of the large square is shaded?

Answers

Answer:

48%

Step-by-step explanation:

a little less than half is shaded

The percent of the shaded square will be 48%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A large square is shown in figure.

Now,

In a figure,

The number of small squares = 100

And, Number of shaded squares = 48

Hence, The percent of shaded square = 48/100 × 100

                                                           = 48%

Learn more about the percent visit:

brainly.com/question/24877689

#SPJ2

Please help this is worth 30 points

Answers

That’s the answers hope this helps.

What is the distance between the points (-9,5) and (8,5)

Answers

Answer:

17 units

Step-by-step explanation:

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):

Let,

[tex] (x_1, y_1) = (-9, 5) [/tex]

[tex] (x_2, y_2) = (8, 5) [/tex]

Plug in the values into the distance formula:

[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]

[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]

[tex] d = \sqrt{(289 + 0)} [/tex]

[tex] d = \sqrt{289} [/tex]

[tex] d = 17 [/tex]

Sarah has 782 stickers in her sticker book. It took 8 stickers to fill one page. She filled each page before putting stickers on another page. How many full pages of stickers does Sarah have

Answers

Answer:

97

Step-by-step explanation:

if there are a total of 782 stickers and 8 stickers fill one page the number of full pages can be found by dividing 782 by 8. Doing this gives us 97.75, but since the question is asking us about full pages the answer if 97 full pages of stickers.

Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right-endpoint sum. In the following exercise, compute the indicated left and right sums for the given function on the indicated interval.
L4 for f(x)=1/x−1; [2,3]

Answers

Answer:

[tex]L_4=0.7595[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=\frac{1}{x-1},[/tex][2,3]

We have to find L4

It means n=4

[tex]\Delta x=\frac{b-a}{n}=\frac{3-2}{4}=\frac{1}{4}=0.25[/tex]

Now, intervals are

[2,2.25],[2.25,2.50],[2.5,2.75],[2.75,3]

Now,

[tex]L_4=f(x_0)\Delta x+f(x_1)\Delta x+f(x_2)\Delta x+f(x_3)\Delta x[/tex]

[tex]L_4=\frac{1}{2-1}(0.25)+\frac{1}{2.25-1}(0.25)+\frac{1}{2.5-1}(0.25)+\frac{1}{2.75-1}(0.25)[/tex]

[tex]L_4=0.7595[/tex]

thank you
if this helps​

Answers

Answer: 8

Step-by-step explanation:

8/2 + 5 =9 in desmos

father's step is 65cm long while his daughter's step 4dm long. they start walking together. when the father has walk 8 step, his daughter has walked... step​

Answers

Answer:

5 steps

Step-by-step explanation:

[tex]65cm \times 8 = 520cm[/tex]

[tex]4dm = 40cm \\ 65 - 40 = 25[/tex]

[tex]25 \times 8 = 200cm \: gap[/tex]

[tex]200 \div 40 = 5[/tex]

Answer:

His daughter has walked 13 steps

Step-by-step explanation:

Unit Conversion

Each step of the father is 65 cm long and each step of his daughter is 4 dm long.

Recalling that 1 dm = 10 cm, then each step of the daughter is 4*10 = 40 cm long.

Now we can compare both measures. When the father has walked 8 steps, this distance is 8*65 = 520 cm, and the daughter has walked 520/40 = 13 steps.

His daughter has walked 13 steps

PLEASE HELP AND ANSWER ALL 3

Answers

Answer: 10.) -6 and it's B

11.) A

12.) C

Step-by-step explanation:

how many eighths make a quarter

Answers

Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

x + 6 >10 or 3x + 11 ≤ −7

Answers

Answer:

x>4 or x≤-6

Step-by-step explanation:

x+6>10 or 3x+11≤-7

x>4 or 3x≤-18

x>4 or x≤-6

At the same time of day, a tree and a flagpole cast shadows as shown below.
How tall is the tree?

Answers

Answer:

16 feet

Step-by-step explanation:

Height of tree = [tex]\frac{20}{15}[/tex] × 12ft

                       = 16ft

What is the value of 1/2 x^3+3.4y when x=2 and y=5?

Answers

(1/2) * x^3 + 3.4y when X = 2 and Y = 5.
= (1/2) * (2^3) * 3.4(5)
= (1/2) * 8 * 17
= (1/2) * 136
= 136/2
= 68.

Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'

Answers

Answer:

(x,y) -> (x + 8, y - 3)

Step-by-step explanation:

Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.

A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a ​338 gallon hot​ tub?

Answers

Answer:

1 hour and 12 mins and 56 seconds

Step-by-step explanation:

Hope this helps and have a great day!!!

Help please I will Brainly

Answers

Answer:

we have the same computer

Step-by-step explanation:

Answer:

[tex]114\:\mathrm{yd^2}[/tex]

Step-by-step explanation:

The composite shape consist of two rectangles. We can find the area of these two rectangles and add them to get our answer:

[tex]10\cdot9+6\cdot 4= 90+24=\fbox{$114\:\mathrm{yd^2}$}[/tex].

5/6 divided by 1/2 simplest from

Answers

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

You are driving up a mountain. At the base of the mountain you see a sign that states the elevation above sea level is 3,720 feet at this point. You then travel a horizontal distance of 5 miles to the top of the mountain, and see another sign that states the elevation is 4,215 feet above sea level. What was the average slope of the mountain you just climbed in feet/mile?

A) 843 ft/mi
B) 744 ft/mi
C) 99 ft/mi
D) 0.0188 ft/mi

Answers

Step-by-step explanation:

Slope of the mountain

= Rise in height / Run in distance

= (4215ft - 3720ft) / 5 mi

= 495ft / 5mi

= 99ft/mi. (C)

Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm

Answers

Ndiuewuneqdkiqjdqjiodqeiojqdoiqdioaejdijeioeajdihoqedjioqedjoiqhioeqoieqjd

A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours

Answers

Answer:

[tex]P(t) = 10000e^{0.1733t}[/tex]

Step-by-step explanation:

The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

A petri dish has 10, 000 bacteria in it.

This means that [tex]P(0) = 10000[/tex]. So

[tex]P(t) = 10000e^{rt}[/tex]

After 4 hours the bacteria’s population increased to 20,000.

This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So

[tex]P(t) = 10000e^{rt}[/tex]

[tex]20000 = 10000e^{4r}[/tex]

[tex]e^{4r} = \frac{20000}{10000}[/tex]

[tex]e^{4r} = 2[/tex]

[tex]\ln{e^{4r}} = \ln{2}[/tex]

[tex]4r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{4}[/tex]

[tex]r = 0.1733[/tex]

So, the formula is given by:

[tex]P(t) = 10000e^{0.1733t}[/tex]

what is equivalent to the expression 2/5 divided by 4

Answers

0.1 would be the answer I’m pretty sure I did the math and even searched it up so I knew it was right!!

It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?

Answers

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

if AB=BA= I then write the relation between matrix A and matrix B​

Answers

Answer:

If  AB = BA = I, then B is inverse of A and vice-versa.

Step-by-step explanation:

Given: AB = BA = I

To find: The relation between matrix A and B.

If AB = BA = I, then B is called the inverse matrix of A and is denoted by [tex]A^{-1}[/tex].

In that case, A is said to be invertible.

Also, if B is the inverse of A, then A is also the inverse of B.

Hence, the relation between A and B is that both are inverse of each other.

Other Questions
Hacer anlisis sintctico de esta frase:Hoy pareca ms dispuesto a colaborar. Can someone please fill in the blanks I really need help! The temperature of the system is highest when it is aA. gasB. liquidC. plasmaD. solid 24 apples and 36 oranges in a basket. What percentage of the fruit is oranges I want to double-check my answer. I think it may be wrong. I need this ASAP. Have a great day. under whose rule were the jews able to practice their religion freely?a. the egyptian pharaohs b. the roman general pompeyc. the persian monarch cyrusd. adolf hitlere. the green rulers Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip? Which of these passages from FDR's first inaugural address best reflects his overall purpose? A. This great Nation will endure as it has endured, will revive and will prosper.B. Nature still offers her bounty and human efforts have multipliedC. Faced by failure of credit they have proposed only the lending of more money.D. Happiness lies not in the mere possession of money; it lies in the I NEED HELP!! Please What is the name of this compound S2I4? What limits US growth to the, North, South, East, and west Question 4 (2 points)Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?2y + 10x = 8Ob4y - 10x = 12OC5y + 2x = 10Od5y-2x = 25Question 5 (2 points)What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12? Which aspect of Act 2 of The Monsters Are Due on Maple Street marks it as science fiction and not fantasy fiction?It is about aliens and takes place on another planetIt is about humans who meet aliens here on Earth.It is about aliens visiting Earth and observing humans.It is about magical events that cannot be explained. What lesson did Malcolm X learn from his fathers death Pope Gregory VII and Holy Roman Emperor Henry IV initially disagreedabout f(x) = 5x + 6; reflection in the x-axis The process in which rocks are broken down into smaller pieces by ice, water, the wind, changes in temperature, plants, animals, or by chemicals? answer please science True or False. The more energy put into making a sound the lower its intensity. . Most rocks are made of what elements?a. quartz, granite, marble, limestone, shale, sandstone, obsidian, micab. lithium, nitrogen, selenium, fluorine, chlorine, antimony, gallium, tinc. oxygen, silicon, aluminum, iron, calcium, sodium, potassium, magnesium can someone help me?