Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whether there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.

Answers

Answer 1

Answer:

There's a proportion relationship between number of shell and their cost

Step-by-step explanation:

The graph is not given.

However, I've added the appropriate graph as an attachment.

From this, point....

I'll show that the cost and number of shells as given in the question are proportional.

Represent cost with y and number of shells with x

x = 2 when y = 0.8

x = 3 when y = 1.2

x = 4 when y = 1.6

Divide each value of y by x to get the constant of proportion (r).

r = y/x

r = 0.8/2 = 0.4

r = 1.2/3 = 0.4

r = 1.6/4 = 0.4

Notice that the values of r remain constant.

Hence, there's a proportion relationship between both

And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.

Melanie Buys 2 Shells For $0.80. Rosi Buys 3 Shells For $1.20. Carlos Buys 4 Shells For $1.60. Use The
Answer 2

The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.

Given :

Melanie buys 2 shells for $0.80.Rosi buys 3 shells for $1.20.Carlos buys 4 shells for $1.60.

The following steps can be used to determine there is a proportional relationship or not between the number of shells and their cost:

Step 1 - First determine the value of x and y from the given data.

Points - (2,0.8), (3,1.2), and (4,1.6)

Step 2 - Now, divide y by x in order to determine the proportionality constant.

[tex]r = \dfrac{0.8}{2} = 0.4[/tex]

[tex]r'=\dfrac{1.2}{3}=0.4[/tex]

[tex]r" =\dfrac{1.6}{4}=0.4[/tex]

Step 3 - Observe that the values of r, r', and r" are the same. Therefore, there is a proportional relation between them.

The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.

For more information, refer to the link given below:

https://brainly.com/question/21328304


Related Questions

The small squares on a chessboard can be combined to form larger squares. For example, there are sixty-four 1x1 squares and one 8x8 square. Use inductive reasoning to determine how many 2x2 squares, 3x3 squares, and so on, are on a chessboard. What is the total number of squares on a chessboard?​

Answers

Answer:

204

Step-by-step explanation:

Given that a 1x1 square can be located in 8 places horizontally and 8 places vertically,

Then we have 1x1 squares: 8² = 64

Again the subsequent squares will be written as

2x2 squares: 7² (2 squares in 7 places both horizontal and verticals) = 49

3x3 squares: 6² (3 squares in 6 places both horizontal and verticals)= 36

4x4 squares: 5² (4 squares in 5 places both horizontal and verticals)= 25

5x5 squares: 4² (5 squares in 4 places both horizontal and verticals)= 16

6x6 squares: 3² (6 squares in 3 places both horizontal and verticals)= 9

7x7 squares: 2² (7 squares in 2 places both horizontal and verticals)= 4

8x8 squares: 1² (8 squares in 1 places both horizontal and verticals)= 1

Hence, the total number of squares on chessboard is 1+4+9+16+25+36+49+64 = 204.

4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet

Answers

Answer:

The probability that the household has only cell phones and has high-speed Internet is 0.408

Step-by-step explanation:

Let A be the event that represents U.S. households has only cell phones

Let B be the event that represents U.S. households have high-speed Internet.

We are given that 51% of U.S. households has only cell phones

P(A)=0.51

We are given that 70% of the U.S. households have high-speed Internet.

P(B)=0.7

We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.

P(B|A)=0.8

[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]

Hence the probability that the household has only cell phones and has high-speed Internet is 0.408

A farmer sells peaches and kiwis at a farmers market. The peaches sell for $3.50 per pound and the kiwis sell for $2.75 per pound. The farmer's truck can carry 1,800 pounds of fruit.
If the farmer sells all 1,800 pounds of fruit that he brings to the market, what is the maximum and what is the minimum amount of money he can earn? Provide support for your answer.

Answers

Answer:

2000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Steps to subtracting a negative fraction from a positive decimal

Answers

Answer:

1.Subtract the absolute value of the decimal.

2. Add the negative number to the positive number.

3. Add the opposite of the negative number to the positive number.

Step-by-step explanation:

When dealing with the subtraction of negative fractions from positive decimals, the steps to follow are subtracting the absolute values of the decimals. Adding all negative numbers to the positive numbers and lastly adding the opposite positive numbers to the negative numbers.

The value -2 is a lower bound for the zeros of the function shown below.

f(x) = 4x^3 – 12x^2 - x + 15

True or false

Answers

The real answer: Flase

Answer:

Its True

Step-by-step explanation:

Just put in False and got it wrong.

f(x) = 2x^3 g(x) = x-3

find f(2)
find g(4)
find (f+g) (x)

Answers

[tex]f(x) = 2 {x}^{3} [/tex]

[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]

_________________________________

[tex]g(x) = x - 3[/tex]

[tex]g(4) = 4 - 3 = 1[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x) [/tex]

[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]

_________________________________

Done...♥️♥️♥️♥️♥️

3/4 divided by 8/9
A. 1/2
B. 2/3
C. 26/35
D. 27/32

Answers

Answer:

27/32

Step-by-step explanation:

Answer:

D. 27/32

Step-by-step explanation:

3/4 / 8/9

3/4*9/8

27/32

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that twenty-one adults in the United States are selected randomly. What is the probability that more than five of the selected adults save nothing for retirement

Answers

Answer:

0.769296

Step-by-step explanation:

The desired probability can be calculated from binomial probability distribution because there are 21 independent trials and probability of success(saving nothing for retirement) 0.2 remains same for each trial. Here, n=21 and p=0.20. We want to compute P(X>5).

The pdf of binomial distribution is

P(X=x)=nCx(p)^x(1-p)^(n-x)

P(X>5)=1-P(X≤5)

P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=0)=21C0*(0.2)^0*(1-0.2)^(21-0)=0.009223

P(X=1)=21C1*(0.2)^1*(1-0.2)^(21-1)=0.048423

P(X=2)=21C2*(0.2)^2*(1-0.2)^(21-2)=0.121057

P(X=3)=21C3*(0.2)^3*(1-0.2)^(21-3)=0.191673

P(X=4)=21C4*(0.2)^4*(1-0.2)^(21-4)=0.215632

P(X=5)=21C5*(0.2)^5*(1-0.2)^(21-5)=0.183287

P(X≤5)=0.009223+0.048423+0.121057+0.191673+0.215632+0.183287

P(X≤5)=0.769296

P(X≤5) can also be computed by using excel function BINOM.DIST(5,21,0.2,TRUE) which results in

P(X≤5)=0.769296.

The probability that more than five of the selected adults save nothing for retirement is; P(X > 5) = 0.239928

We are told that 20% of adults in the US save nothing for retirement. Thus;

p = 20% = 0.2

21 adults are selected randomly. Thus;

n = 21

Probability that more than five of the selected adults save for retirement is gotten from formula for binomial probability distribution which is;

P(X = x) = nCx × p^(x) × (1 - p)^(n - x)

Thus;

P(X > 5) = 1 - P(X ≤ 5)

Where;

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = 0) = 21C0 × 0.2^(0) × (1 - 0.2)^(21 - 0) =

0.009223

Using online binomial probability calculator, we can find the remaining as;

P(X = 1) = 0.048423

P(X = 2) = 0.121057

P(X = 3) = 0.191673

P(X = 4) = 0.215632

P(X = 5) = 0.183287

Thus;

P(X ≤ 5) = 0.048423 + 0.121057 + 0.191673 + 0.215632 + 0.183287

P(X ≤ 5) = 0.760072

Thus;

P(X > 5) = 1 - 0.760072

P(X > 5) = 0.239928

Read more about binomial probability distribution at; https://brainly.com/question/24239758

(1, 7); slope = -1 please help fast

Answers

Answer:

y = - x + 8

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = -x + b     Input Slope

Step 3:

7 = - 1 ( 1 ) + b    Input x and y

Step 4:

7 = - 1 + b      Multiply

Step 5:

b = 8     Add 1 on both sides

Answer:

y = - x + 8

Hope This Helps :)

is -3.7 less than,greater than or equal to -3.8 ?

Answers

-3.7 is greater than -3.8, but is it not less than of equal to -3.8

What does 4 1/2 ÷ 1 1/4 =

Answers

Hi :)

Lol a lot of repetition but I’m guessing your question is “what is 4 1/2 divided by 1 1/4

And your answer to that is 3.6

Hope this helps :)

Nine less than five times a number is equal to -30.

Answers

Answer: 5x-30-9

-159

Step-by-step explanation:

-159 is the answer

Find the value of (27) to the - 2/3

Answers

Answer: Yes. For example: (27)^2/3 would be 3^2 which = 9.

Step-by-step explanation: Hopefully this help :D ask for more help if you need!

HURRY AND AWNSER SISSYS

Answers

Answer:

Neither

Step-by-step explanation:

I also think it is neither

(HELP ASAP TIMED TEST)

Which of the following functions has the same end behavior as the graph shown below?

A. f(x) = 5x^3 + x^2 - 15
B. f(x) = 3x^4 + 12x^3 + 8x^2 + 60
C. f(x) = -8x^2 + x - 18
D. f(x) = x^2 + 10x + 25

Answers

Answer:

I think it's "B. f(x) = 3x^4 + 12x^3 + 8x^2 + 60", if I did it correctly.

HELP!!!!!!!


What is 2 8/10 + (-3.5) in decimal form

Answers

Answer: -0.7

Step-by-step explanation:

Gina works in a clothing store. At noon, she has $125 in the cash register. James gives her $60 for a sweater, and she gives him $7 change. Hana then gives her $40 for a blouse and receives $3 change. Use a series of addition equations to find out how much money Gina has in her cash register at the end of these sales.

Answers

Answer:

$90

Step-by-step explanation:

$125 + $60 - $7 + $40 - $3

125 + (60 + -7) + (40 + -3)

Maybe?

Un bombardeo pica, formando ángulo de 53o con la vertical, y abandona una bomba a una altura de 2400 pies. Se observa que el proyectil llega al suelo 5 segundos después de

Answers

If you look up ash kaash and click the first link the answer is there she is my math teacher and gives out the answer cause she knows how hard math is

pls help:( i’ll mark brainlest!

Answers

Answer:

[tex]\sqrt{26}[/tex]

Step-by-step explanation:

A basketball player made 55 baskets in a season. Of these, 20% were three-point shots. How many three-point shots did the player make?

Answers

Given:

A basketball player made 55 baskets in a season.

20% of these baskets were three-point shots.

To find:

The number of three-point shots.

Solution:

We have,

Total number of baskets = 55

Number of three-point shots = 20% of total baskets

Now,

[tex]\text{Number of three-point shots}=\dfrac{20}{100}\times 55[/tex]

[tex]\text{Number of three-point shots}=\dfrac{1}{5}\times 55[/tex]

[tex]\text{Number of three-point shots}=11[/tex]

Therefore, the number of three-point shots did made by the player is 11.

Please help ASAP this is timed

Answers

Answer:

the answer is 30 with 75 kids voting for drinks in total

Answer:

30 students

Step-by-step explanation:

45 divided 3 (the numerator of 3/5) is 15 so 1/5 is 15. 5 minus 3 =2. so 2/5 students picked sprite. and 15 times 2 equals 30. easy

The local nursery is waiting for its spring annuals to be delivered, and 20% of the plants ordered are petunias. If the first truck contains 120 plants packed at random, what is the probability that no more than 30 plants are petunias?

Answers

Answer: 0.9147

Step-by-step explanation:

Given: 20% of the plants ordered are petunias.

Let p = 20% = 0.2

Sample size: n = 120

If they follow normal distribution, then mean = np = 120x 0.2 = 24

Standard deviation = [tex]\sqrt{n p(1-p)}=\sqrt{120\times0.2\times.8}[/tex]

[tex]=\sqrt{19.2}\\\\ =4.38[/tex]

The  probability that no more than 30 plants are petunias : [tex]P(\dfrac{X-\mu}{\sigma}\leq \dfrac{30-24}{4.38})[/tex]

[tex]=P(Z<1.37)= 0.9147[/tex]

Hence, the probability that no more than 30 plants are petunias = 0.9147

The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g

Answers

Answer:

This vector make an angle of 141° with the positive x axis

Step-by-step explanation:

Refer the attached figure

Components of vector :

[tex]A_x=-10 \\A_y = 8[/tex]

We are supposed to find  What angle does this vector make with the positive x axis

[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]

Now ,

[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]

So, this vector make an angle of 141° with the positive x axis

Which angles are adjacent?

Answers

Answer:

D) mln and kln

Step-by-step explanation:

angles are adjacent when they have a common side and a common vertex, they have to share both a side and vertex

anyone in flvs? we should find each other in live lessons lol

Answers

Answer:

nope

Step-by-step explanation:

There are three times elephants compared to giraffes in the safari. If there is a total
of 88 elephants and giraffes, how many elephants are there in the safari?

Answers

Answer:

66 elephants

Step-by-step explanation:

88 divided by 4= 22

Therefore, there are 22 giraffes.

88-22=66. Therefore, there are 66 elephants. Hope this helps, feel free to ask for a more in depth explanation!

result when the number 90 is decreased by 7.1%? Round your answer to the nearest tenth.

Answers

Answer:

83

Step-by-step explanation:

you need to think about the equation and think of the number closest to each number and decide which fits

Answer:

83.6

Step-by-step explanation:

You need to subtract 7.1 from 100, because it's a percentage, to get the resulting percent. Then multiply 90 with the answer you got in percent.

The front porch has a width of 2x feet, length of 8
feet, and its area is 112412. What is the width?

Answers

i think it’s 16 since there’s an x on 2 so you have to multiple 2x8


A government may create and regulate natural monopolies because:

Answers

Answer:

they can handle the costs of providing essential services

Step-by-step explanation:

A government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to own citizens.

Given that,
A government may create and regulate natural monopolies because:,
The incomplete statement is to be complete.

What is right?

An authority or claim controlled by the all-around people as the result of a constitution, law, ordinance, judicial precedent, or another type of law.

Here,
A government in any country has one motto rule of the country is to the people, for the people, and of the people. Whatever government does suppose to be for the welfare and proper livelihood in the country for its citizens. So in this manner,

Thus, a government may create and regulate natural monopolies because the government has the right to manage and regulate the resources available to the country in order to provide welfare and proper services to its own citizens.

Learn more about rights here,
https://brainly.com/question/8903161
#SPJ5

Evaluate the expresions -8-14÷2+5

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

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