Elene went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for 2.50. How much does popcorn cost per ounce? How much popcorn can you buy per dollar? Write two different equations that represent this situation. Use for ounces of popcorn and for cost in dollars.

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

Fron the question, we are informed that she bought 10 ounces of spicy popcorn for $2.50.

a. How much does popcorn cost per ounce?

1 ounce of popcorn = $2.50/10 = $0.25

b. How much popcorn can you buy per dollar?

Since 1 ounce of popcorn cost $0.25, $1 can buy popcorn worth:

= $1/$0.25

= 4 ounce of popcorn.

Answer 2

The relationship between the ounce of popcorn and the amount spent is an illustration of a linear function.

The cost per ounce is $0.25The amount of popcorn for $1 is 4 ounces

From the question, we have:

[tex]\mathbf{10oz - \$2.50}[/tex]

(a) The cost per ounce

To do this, we simply divide both sides by 10

[tex]\mathbf{Cost = \frac{\$2.50}{10oz}}[/tex]

[tex]\mathbf{Cost = \$0.25/oz}[/tex]

Hence, the cost per ounce is $0.25

(b) Popcorn for $1

To do this, we simply divide both sides by 2.5

[tex]\mathbf{Popcorn- \frac{10oz}{\$2.50}}[/tex]

[tex]\mathbf{Popcorn- 4oz/\$}[/tex]

Hence, the amount of popcorn for $1 is 4 ounces

(c) Represent as equations

In (a),  the cost per ounce is $0.25.

So, the equation is:

[tex]\mathbf{y = 0.25x}[/tex]

In (b),  the amount of popcorn for $1 is 4 ounces

So, the equation is:

[tex]\mathbf{x = 4y}[/tex]

Where: x represents the size of popcorn, and y represents the cost.

Read more about linear functions at:

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Related Questions

Pls help me fast! Thank you!

Answers

Answer:

-2.5

Step-by-step explanation:

Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6

Answer:

Step-by-step explanation:

89 times what is 6285

Answers

just do 6285:89
i got 70.61797752808989

Answer:

71

Step-by-step explanation:

6285 ÷ 89 = 71

(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?

Answers

Answer:

i think u forgot to add the picture bro?

Step-by-step explanation:

need help ...............................

Answers

The answer is region 1.

what is the slope of a line that is perpendicular to the line y= -1\2x+ 5

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.


Answers

Answer: g(x)=(3/4)x, points at (-4,-3), (0,0), and (4,3)
Step by step:
We know what the equation is, so we just have to multiply it by 3/4.
So, we get g(x)=(3/4)x. Plug in some random x values to get y values. I listed some convenient ones at the top.

The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.

Determine the scale factor for the transformation. In this case, the scale factor is 3/4.

Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.

For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).

Connect the plotted points with a smooth curve to obtain the graph of g(x).

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Help please! (Please do not answer with links)
Three step linear equations

8x - 10 = 4x - 30

Answers

Answer:

x = -5

Step-by-step explanation:

8x - 10 = 4x - 30

Subtract 4x from each side

8x-4x - 10 = 4x-4x - 30

4x -10 = -30

Add 10 to each side

4x-10+10 = -30+10

4x= -20

Divide by 4

4x/4 = -20/4

x = -5

– 3х + 10 = 2
— 3х + Зу = 9

Answers

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5

Graph Y equals -5/6x -4

Answers

Step-by-step explanation:

y = -5/6x - 4

(0,-4) is the y intercept

the slope is -5/6, it descends 5 and goes 6 horizontally.

Here are three different rules:



number of tiles = position x 1 + 1



number of tiles = position x 3 + 1



number of tiles = position x 5 + 1



How are these pattern rules the same?



How are these pattern rules different?

Answers

Answer:

they all add one

and...

the position is multiplied by different numbers

Name an angle adjacent to ZHGJ.
D
H
G
F
ZFGD
ZEGH
O ZEGD
O ZIGF
HELP

Answers

EGH
adjacent means next to so EGH is next to the angle HGJ

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer: 13x-1

Step-by-step explanation:

Please help with this question

Answers

Answer:

2:5

Step-by-step explanation:

beacuse ratio is 8/20 which is equal to AP/PB= 2/5

Answer:

2.5

Step-by-step explanation:

AP is 8

PB is 20 thus

AP

PB is equal to8/20 which is 2.5

Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five months after he purchased the computer, his balance was $640. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?

Answers

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

HELP NEEDED!!!!!!
Marley used 7 cups of water to make 4 loaves of French bread.
What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .

Answers

Answer:

Step-by-step explanation:

y=kx

7/4=1.75

6/4=1.5

The equation in the form y =kx will be as y = 7/4 x .

What are Proportional?

Proportional the type of relationships between two variables where their ratios are equivalent.

In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.

A proportional relationship between the variables x and y is written as:;

y=k.x

For the given problem, y represents the cups of water needed for making x loaves of French bread.

We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;

7=k.4

Solving for k:

k = 7/4

The equation to model the problem;

y = 7/4 x

More can be learned about proportions at;

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he microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.


How is this number expressed in standard form?

Answers

Nan x 10^0 should be your answer

which is the best estimate for (8.9 x 10^8)(3.3 x 10^4 written in scientific notation?

Answers

Answer:

3 x10^4

Step-by-step explanation:

need help asap at this question so what's the area of the shaded shape ​

Answers

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?

Answers

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]

6 * 2 tenths = 1.2

7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]

6 * 7 hundredths = 0.42

The partial products are:

18 + 1.2 + 0.42

The sum = 19.62

Answer:

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

Step-by-step explanation:

-k/5 = 7/5 can someone help with this?​

Answers

Answer:

k = -7

Step-by-step explanation:

Step 1: Write equation

-k/5 = 7/5

Step 2: Solve for k

Cross multiply: -5k = 35Divide both sides by -5: k = -7

Step 3: Check

Plug in k to verify it's a solution.

-(-7)/5 = 7/5

7/5 = 7/5

what factor makes the number sentence

7x4= 4x7

Answers

Answer:

Its a very complex solution but it x

=

0

,

3

14

2

Step-by-step explanation:

A truck driver has traveled for hours (4, h) south down a highway 50 kilometers per hour (50 km/h) How far as the delivery driver traveled?

Answers

Answer:

200 kilometers

Step-by-step explanation:

since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.

An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.

If m 4 = 48° and m28 = 3x + 9​

Answers

Answer:

x = 109

Step-by-step explanation:

m4 =48

m =48/4

m = 12

now

m28 = 3x+9

12*28 = 3x + 9

336-9 = 3x

327/3 = x

109 = x

10x² - x - 2 = 0
whats thr solutions in fractions

Answers

Answer:

X=1/2, -2/5

Step-by-step explanation:

Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

:) :) :) :) :) :) :0

Step-by-step explanation:

2/5 and 1/2

I need help again..... and FAST

Answers

Answer:

b

Step-by-step explanation:

Answer: B
Why: Reason being is that if you look at the graph the most likely answer will be B.

Which two expressions are
equivalent to 18p-36?
(Pick two choices)
3(9p-12)
9(2p-4p)
2(9p-18)
18(p-2)

Answers

Answer:

9(2p-18) and 2(9p-18)

Step-by-step explanation:

The equivalent expression to the expression  18p - 36 are,

9(2p - 4p) and 2(9p - 18).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 18p - 36.

We know the distributive property states a(b + c) = ab + ac.

Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.

Therefore,

18p - 36 can be written as,

9(2p - 4p) and 2(9p - 18).

learn more about numerical expressions here :

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If Kelly's heart beats an average of 1*10^2 times per minute , about how many times does Kelly's heart beat in a year?(1 year is 525,600 minutes)

Answers

Find out how many times her heart beats in a min then multiply it by 525,600

What is the answer?​

Answers

Answer is option D, 3.464

Hope this helps

What is the difference of 12-5i and -3 + 4i

Answers

imma follow up the answer above i don’t think it’s carrot but the color orange does have a good feel to it

5×+6×12-3= -3×6×-15

xf es para hoy ​

Answers

X=-20 2/5,x=-20.4 so it’s x=102/5
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