There's a huge sale at the grocery store, so Kamal stocks up on his favorite breakfast cereal, Frosted Crunchy Bunches. As he puts the cereal boxes on a shelf in his pantry, he wonders if he has enough shelf space.
There is a proportional relationship between the number of cereal boxes Kamal stores on his pantry shelf, x, and the amount of shelf space (in inches) the boxes take up, y.
x (boxes) y (inches)
2 6
3 9
5 15
6 18
Write an equation for the relationship between x and y. Simplify any fractions.
y=

Answers

Answer 1

The slope is 3

the y intercept is 0

y=3x

Answer 2

The equation for the relationship between x and y, if there is a proportional relationship between the number of cereal boxes Kamal stores on his pantry shelf, x, and the amount of shelf space (in inches) the boxes take up, y is y = 3x.

What is ratio?

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given:

x = 2, 3, 5, 6

y = 6, 9, 15, 18

As you can see, the ratio is,

x / y = 2 / 6 or x / y = 3 / 9

x / y = 1 / 3

Thus, the equation can be written as,

y = 3x

Here, x is the number of cereal boxes and y is the space on the shelf.

To know more about Ratios:

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Related Questions

Use the Distributive Property to write an expression that is equivalent to 10 (a + b)

Answers

10a + 10b

Multiply 10 for the variables in the parentheses

Answer:

10a + 10b

Step-by-step explanation:

Using the method of FOIL (First Outside Inside Last) write this in expanded form:

⇒ First multiply 10 with "a"

   => 10 (a + b)

⇒ Then multiply 10 with "b"

   => 10 (a + b)

⇒ Combine both together:

   => 10a + 10b

Hope this helps!

It costs $3.00 for 45 gallons of detergent. What is the cost per gallon of detergent? *

Answers

Answer:

0,06

Step-by-step explanation:

$0.06 this is because you take the $3 and divide it by the 45 to get the cost of each gallon

halp me pleas :|.........

Answers

A for sure and possibly D
I’m pretty sure it’s A

Which expression is equivalent to 4 - ( -7) ?

no links pls and thank you
please explain your answer

Answers

Answer: 4 + 7 or 7 + 4

Step-by-step explanation:

this is correct because subtracting a negative is the same as adding a positive.

as a general rule, when you subtract a negative number it turns positive (the two negatives kinda cancel out)

so the expression is equivalent to 4 + 7

hope this helps :)

Gabriel's family took a road trip to Mount Rushmore. Gabriel slept through the last 72% of the trip. If the total length of the trip was 900 miles, how many miles had they travelled when Gabriel fell asleep?

Answers

Answer:

648 miles Pls mark me Brainliest

Step-by-step explanation:

72% of 900

72/100 * 900

72 * 9

= 648 miles

Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday,
Wednesday, and Friday, she runs 4 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 6 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?

Answers

Answer:

7

Step-by-step explanation:

Let's call x the amount of miles that equal a lap.

So on Monday Wednesday and Friday, she runs 4x + 6 miles.

On Tuesday and Sunday she runs 6x + 2 miles.

And the problem says that she runs the same distance every day, so that means that

4x + 6 = 6x + 2

Now we solve that equation:

4x + 6 = 6x + 2

6 = 6x + 2 - 4x

6 - 2 = 6x - 4x

4 = 2x

x = 2

After that we choose either 4x + 6 or 6x + 2 to calculate the distance she runs on per day by replacing the x with a 2.

4(2) + 6 = 14

6(2) + 2 = 14

Finally we just divide the amount of miles (14) by the amount of miles per lap (2).

14/2 = 7 laps

Help ASAP i need the answer to this question plsss NO LINKS AND NO DOING IT JUST FOR THE POINTS Will give brainliest and just because i say don't do it just for the points doesn't mean i don't want you to do it i'm just saying that because i don't want random answers i want the right answers with work shown


Figure D’E’F’G’ is a dilation with center (0, 0) of figure DEFG. What is the scale factor? Enter your answer in the box.

Answers

Answer:

4

Step-by-step explanation:

I believe that it is four because the top distance between DEFG is two. Then when you look at D’E’F’G’ it is eight. So eight divided by two is four.

Write a system of linear equations to model this situation where x represents the pizza and y represents the bags of wings. Use the system to answer the following questions.

Answers

Answer:

x -3...?

Step-by-step explanation:

how many zeros will x^2-10=49 have?

options: two, one, not enough information, none

Answers

Answer:

none?

Step-by-step explanation:

2, for questions like this you can type the equation into a desmos graphing calculator, it’s online, and it’ll show you the 2 zeros :)

Ursula has 5 cubes with side lengths of 1/2 inch and 24 cubes with side lengths of 1/4 inch. Together, the 29 cubes could be used to fill a rectangular prism with what dimensions?

A. 1 inch x 2 inches x 1/2 inch

B. 2 1/2 inches x 6 inches x 6 inches

C. 4 inches x 1/2 inch x 1 3/8 inches

D. 5 1/2 inches x 6 1/4 inches x 4 1/4 inches


*also, if you know the answer, I would like if you could explain how you got it,but you aren't obligated to*

Answers

The correct answer is b
I believe the answer is B

You are asked to find either the area or volume of this figure. Are you finding the area or volume?

Answers

Answer:

area

Step-by-step explanation:

volume is only for 3d shapes

Answer:

area

Step-by-step explanation:

47. Dave deposits 9818 in a bank for one year. If the interest rate is 9% p.a:
How much interest, in dollars, did Dave earn for the year? Write your answer to the nearest cent.

Answers

Answer:

The interest is $883.62 and the amount is $10701.62.

Step-by-step explanation:

Find the interest =

=9818 x 0.09 x 1

=883.62.

Since P = $9818 and I = $883.62 we have,

Find the Amount=

=9818+883.62

=10701.62..

oihneroigelrignerg please dont hurt me-

Answers

Answer:

110

Step-by-step explanation:

All the angles inside make 360.

Add them all up.

90+90+110= 290

360-290=70

X is a corresponding angle, meaning X and its neighbor make 180.

180-70=110

A rectangle has an area of 4cm^2, which of the following are true?

Answers

Answer:

Options: (D)

Step-by-step explanation:

As given,

Base = 8cm

Height = 1cm

Therefore,

Area

[tex] = \frac{1}{2} \times base \times height[/tex]

[tex] = \frac{1}{2} \times 8cm \times 1cm[/tex]

[tex] = 4 {cm}^{2} [/tex]

Answer:

It is D.

Step-by-step explanation:

The net of a rectangular prism is shown below. What is the total surface area of the prism?

Answers

Answer: 40.5

Step-by-step explanation: The way you get the surface area is by multiplying the numbers given, the rectangles are given as being 1.5 x 6, and the squares at 1.5 x 1.5, so you would multiply those, and then multiply them by the number of shapes that are the same size.

The rectangles would be;

1.5 x 6 = 9

9 x 4 = 36

The squares would be;

1.5 x 1.5 = 2.25

2.25 x 2 = 4.5

Now add the final numbers together to get the final surface area;

36 + 4.5 = 40.5

I hope this helps you!

Need Help. Preferably fast.

Answers

Answer:

Step-by-step explanation:

Yellow arrow aka the answer on the middle left goes with the answer on the middle right.

Red arrow aka the answer one from the bottem goes with the answer on the tippy top on the right.

The light green arrow aka the answer on the very bottom goes with the answer one from the bottom on the right.

The dark green arrow aka the answer on the tippy top goes with the one on the very bottom right.

Lastly, the purple answer aka the one thats one from the top goes with the one thats one from the top on the right.

Hope this helps! ;)

I attached a snipit of the answers as well

help me with this question please, explain why u choose that answer and show ur steps

Answers

Let’s condense the original expression and see if that’s one of the answers

-1/2(-3/2 x + 6x + 1) - 3x

First we distribute the -1/2

((-1/2)(-3/2 x) + (-1/2)(6x) + (-1/2)(1)) -3x

3/4x - 3x - 1/2 -3x

Combine like terms

(3/4 x - 3x - 3x) -1/2

-21/4 x - 1/2

We could make this a mixed number

-5 1/4 x - 1/2

(Mixed number: 5 times 4 plus one gets the numerator)

So the answer is D
^That helped me too

Brain is skateboarding at 8 kilometers per hour. How long will it take Brain to travel 12 kilometers?

Answers

Answer:

1.5 hours

Step-by-step explanation:

All you do is divide the speed by the distance 12/8=1.5 simple as that

Would be amazing if you marked me brainliest :)

I WILL GIVE BRAINLIEST

PLEASE ANSWER

Answers

A. multiplied by 2
explanation: it is multiplied by 2 because you add the radius 2 times

Answer:

When it is doubled the amount quadruples therefore ,the answer is multiplies by 4

Step-by-step explanation:

6.) A completely full spherical hot air balloon with a radius of 9 meters is being deflated at a rate of 22 cubic meters per minute. How much time must elapse for the balloon to be completely deflated? Use the volume formula and 3.14 for π . Find the volume of the full hot air balloon.

7.) Calculate the time it takes to completely deflate the balloon using the constant rate of deflation. Set up and solve a proportion.

Answers

Answer:

6 or 7

Step-by-step explanation:

CHOOSE WISELY

Help me with this please

Answers

I can’t see it si sorry if you take a better picture I’ll answer it

What angle is this is it a obtuse right or straight I need help

Answers

the answer is obtuse

PLEASE HELP ME ASAP!!!!! I'LL GIVE THE BRAIN THINGY AND STUFF JUST PLEASE HELP MEEEEEEEE

Answers

Answer:

1st.) Is already correct (put 523 because that's

a whole number

2nd.) 28,730 (28730.91201

Step-by-step explanation:

search up "what is the volume of a sphere" and find the formula

Hi the pictures are not showing in my screen, what is the topic about maybe I can help you because I cant see picture!! (*v*)

Which of the following choices represent the zeros of the function g(x)=2(x-5)²-400?

Answers

Even though you didn't give us the zeros, i will find it for you

expanding g(x)=2(x-5)²-400

2x^2-20x-350

using quadratic formula, the zeros are

x=-19.142

and

x=9.142

x = 19.14, -9.14 are the zeros of function g(x)=2(x-5)²-400.

What is the zero of a function?

Zeros of a function indicates that for one or multiple input, the output will be zero.

Given,

g(x)=2(x - 5)²- 400

For the zero of this function, g(x) = 0.

Therefore, 2(x - 5)² - 400 = 0.

⇒ (x - 5)²- 200 = 0

⇒ x² - 10x + 25 - 200 = 0

⇒ x² - 10x - 175 = 0

⇒ x = [- (- 10) ± √{(-10)² - 4 × 1 × (- 175)}]/ (2 × 1) = [10 ± √{100 + 700}]/ 2

= [10 ± 28.28]/ 2

Hence, x = 19.14, -9.14.

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Mrs. Jones wanted to know whether the average grades of her students in her first period and last period classes were different. Her data is shown.
First period: 80, 84, 78, 90, 96, 88, 98, 74, 80, 80, 78, 82
Last period: 88, 84, 86, 88, 92, 94, 96, 78, 88, 80, 84, 86
Use the information to complete the statement
The median of class with the greatest median is ???

Answers

the last period class had a greatest median of 87 while first period had a median of 81. good luck!!
The median would be the center number of data points.

Let’s list them

First period:

80, 84, 78, 90, 96, 88, 98, 74, 80, 80, 78, 82

Last period;

88, 84, 86, 88, 92, 94, 96, 78, 88, 80, 84, 86

Let’s put the two classes in order from least to greatest.

First period:

74, 78, 78, 80, 80, 80, 82, 84, 88, 90, 96, 98

Last period:

78, 80, 84, 84, 86, 86, 88, 88, 88, 92, 94, 96

Since there are an even amount of each data set, we need to find the two center points, add them, and divide by 2.

Center points for first period:

80 and 82

Center points for last period:

86 and 88

Add them then divide by 2

( 80 + 82 )/2
162/2
81

( 86 + 88 )/2
174/2
87

Last period had the greatest median with a median of 87.

A gorilla needs to eat at least 40 pounds of food each day. The zoo feeds the gorilla using canisters that contain 4 pounds of food. The gorilla has already consumed 28 pounds of food. How many more canisters x of food does the gorilla need to eat? Write your answer as an inequality.

Answers

3 more canisters explanation: 40/4=10, 28/4=7, 10-7=3 more canisters
40/4=10 28/4=7 10-7=3

question and possible answers in image

Answers

Im not sure use a caculator with it

Five I’m pretty sure

Which of the following expressions can be used to find the
volume of the box in cubic meters? Choose Yes or No.

Box with length as 9 m, height as 12m and width as 4 m.

4 × 12

36 × 12

(9 × 4) + 12

12 × (4 × 9)

48 × 9

Answers

Answer:

Step-by-step explanation:

nnn

36 times 12

9 times 4=36 then times by height which is 12

so 36 times 12

100 POINTS PLEASE HELP ANYTHING NONSENSCAL OR IRREALIVANT WILL BE REPORTED! REAL ANSWERS ONLY, NO LINKS!
As you know Genetic Material cannot be seen with the naked eye and must be observed through a microscope! To understand the size of genetic material inside of a virus, use scientific notation to determine the size of genetic material inside of your mystery virus! Question: The viral genome of a mimivirus is 1.2 x 106 nucleotides in length. The viral genome of a circovirus is 1.7 x 103 nucleotides in length.1 How many times longer is the mimivirus than the circovirus?

Answers

Answer:

Standard Form: 47.9

Scientific Notation Form: 4.79 x 10

Step-by-step explanation:

1.2 x 106 = 127.2

1.7 x 103 = 175.1

175.1 - 127.2 = 47.9

47.9 = 4.79 x 10

the standard form will be 47.9

the scientific notation will be 4.79 x 10

I need some help out with a question!


If anyone could explain (including a rough sketch would be awesome) the process of solving this question so I can solve the other questions on my work

Draw five angles so that:

Angle 2 and angle 3 are acute vertical angles

Angle 1 and 2 are supplementary

Angle 2 and angle 5 are complementary

Angle 4 and angle 5 are adjacent.

Answers

Answer:

Here is your answer plz mark as brainliest

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