Is "The weight of a stack of standard 8.5x11 copier paper vs. number of sheets of paper." a proportional relationship?

Answers

Answer 1

Answer:Yes it is proportional because w=kp k=paper weight which is constant. The relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional.

Step-by-step explanation:

Answer 2

Answer: Yes it is a direct proportional relationship

================================================

Explanation:

The equation is in the form y = kx, where

x = number of sheets of paper

k = weight of 1 sheet of paper

y = weight of all the x sheets of paper

x is some nonnegative whole number. The values of y and k are some nonnegative real numbers (aka any decimal values).

Note how if we had x = 0 pieces of paper, then y = 0 is the weight. So no paper leads to no weight. This visually is shown by the line y = kx going through the origin. All direct proportion equations go through the origin.

Each time we add a sheet of paper, we add on k ounces or k grams, or whatever units you're working with. The amount is constant assuming you are dealing with the same type of paper. Comparing y = kx with y = mx+b, we see that k plays the role of the slope or rate of change.


Related Questions

An online store that sells baseballs and bats offers free shipping on any order of $20 or more. The baseballs cost $1 each and the bats
cost $8 each. The inequality below shows the number of baseballs, 2, and bats, y, that a person can buy to get free shipping.
x+8y > 20
Which of the following ordered pairs are solutions to this inequality? Select all that apply.

Answers

Answer:

What are the answers?

Step-by-step explanation:

Approximately 6.5x10^7 people fly commercially in the United States each month. Approximately how many fly commercially each year?

Answers

The number of people that travel commercially each year is  7.8 x 10^8.

How many fly commercially each year?

The number of people that travel commercially each year is represented in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

In order to determine the number of people who flew commercially each year, multiply the number of people who flew each month by 12.

Number of people who fly commercially each year = 6.5x10^7 x 12

= 78 x 10^7

= 7.8 x 10^8

To learn more about scientific notation, please check: https://brainly.com/question/5756316

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Five less than 3 times a number is 25. What is the number?

Answers

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]3x - 5 = 25[/tex]

[tex]3x = 30[/tex]

[tex]x = 10[/tex]

Answer:

10?

Step-by-step explanation:

I think this is the right answer

I hoped this helped :)

16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio

Answers

Answer:

10

Step-by-step explanation:

16/20=8/10

16/2=8

20/2=10

16 pearls/20opals=8perals/10opals

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound
To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown
below.
3.40+0.85x=5.27
0.85X= 8.67
X= 10.2 pounds
Where, if anywhere, did Carina make an error?

Answers

Answer:

Carina made an error in the beginning.

Step-by-step explanation:

Carina didn't do the inverse operation of adding 3.40. She added it to the 5.27 when she shouldve subtracted it. x=2.2 lbs. Hope this helps!

Anwser ( C )

C: Carina should have divided 8.67 by 0.85.

Took the test. Hope this helps

Hayley is considering two gym membership plans. The plans are detailed here.

Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

Plan 2: $10 for each gym visit

What is a system of equations that represents the costs of the plans?

Express your equations in the form y=mx+b where x is the number of gym visits per month and y is the total cost per month.

Answers

1: y = 3x + 50
2: y = 10x

Need Help plz it has to be done now

Answers

Answer:

38 ft

Step-by-step explanation:

:)

Answer:

32ft

Step-by-step explanation:

Multiply 8 by 3 to get the area of the rectangle. Multiply 4 by 4 and then divide by two to get the area of the triangle.

Finally add them together to get 32ft

If asked to multiply 18 by 100 quicky, what is the short cut?​

Answers

Answer: 18 x 100 = 1,800

Step-by-step explanation:

You take the 100 and you remove the 2 zeros and put them at the back of 18 to get your answer.

CAN SOMEONE HELP- I'LL GIVE BRAINLIEST! I need all the questions pls.

Answers

Answer:

h

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) x is 2 and y is 6

2) x is 10 and y is 30

3) x is 10 and y is 30

 

27/22 as a decimal rounded to the nearest hundredth

Answers

Answer:

1.23

Step-by-step explanation:

27/22 = 1.227 --> 1.23 (7>5 so the number rounds up)

Can I actually get help and not people saying random stuff just for points????

Answers

Do you still need it?

Which one should I choose

Answers

Answer: 9

Step-by-step explanation:

Since x=2 that means there should be 2 3s being multiplied since it’s 3 to the second power. So 3x3 which equals 9. If this answer helped please mark it brainliest!

Answer:

the last option, 9

Step-by-step explanation:

if x=2 then you would just plug x into the equation to get:

y=3^2 or 3 squared and that's just:

3x3 which is

9

So your answer would be 9

I hope this helps! blessings, have a lovely day/night, xo, nm :) <3

I’m doing a percent equation and I need help here is the question 90% of blank =72

Answers

Answer:

80

Step-by-step explanation:

90/100*x=72

9/10*x=72

x=72*10/9

x=80

Find the cost of erecting a 6 m by 4 m rectangular garden shed that is 2 m high if
the metal sheeting costs shs58,500 per square metre.​

Answers

Answer:

2320000

Step-by-step explanation

work out the perimeter first 6+4 times 2= 20

20 time 2m high=40

40 times 58000= 2320000

a shirt that cost $5 is marked up 20% what is the markup​

Answers

Answer:

1 dollar

Step-by-step explanation:

20% = .20(percentage to decimal conversion)

.20 * 5 = 1 or 5 * .20 = 1 either way works

Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?

Answers

Answer:

80%

90%

Step-by-step explanation:

BRAINLIEST PLEASE

Find the slope and the y-intercept of the graph of y=−45x−2.

Answers

Answer:

Slope: -45

Y-intercept: -2

Step-by-step explanation:

The expression is written in slope-intercept form or y=mx+b.

mx is the slope and b is the slope intercept

Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)

Answers

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

https://brainly.com/question/11485644

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The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

 Please create a graph to reflect the following situation:

Max is going to school. For the first 20 minutes he walks at a constant speed of 10 miles per hour. Then he gets to the bus stop and waits for the bus for another 5 minutes. Then he rides the bus for 10 minutes. The speed of the bus is 40 miles per hour.
Show graphically the distance Max has traveled to school over time since he has left his house.

Make sure you include the name of the graph, the labels and the scale on x- and y-axes; Please use graphing paper, pencil and a ruler. Please help me it’s due today I would love the help.

Answers

You show the time on the x-axes (from 0 to 35) and the distance on the y-axes (from 0 to 10).

You start at origin of coordinates. Then the graph rises linear until it reaches the point (20|3.3333...), then it is parallel to the x-axes (as he does not move) until it reaches (25|3.3333...). Then it increases again until it reaches (35|10).

Basically, it's linear all the time, while the slope of the graph varies in three different intervals. (Actually it wouldn't be linear as he doesn't move with the same speed all the time but we can't go more into detail based on the information we have, so we use average values.)

You can use the rule of three to find out how far he moves.

-4-3(1-x)<7-2(x+2)
Its just this :)

Answers

Answer: the answer is x=12 and x=4

Help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

y is 130° too because it's an alternative angle love

Answer:

X=130

Y=130

Step-by-step explanation:

I know this because x is the same as 130 and the congruent angle is the same as well.  Hope this helps

please help me out ​

Answers

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Answer: A

Step-by-step explanation:

12 and 16

i need help! i lost my notes

Answers

Answer:

sin A= 3/5

sin C= 4/5

cos A= 4/5

cos C= 3/5

write the equation of a parellel to the given line that goes through the given point y=8x+3 (2,4)

Answers

Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y=8x-12[/tex]

Step-by-step explanation:

Given the equation

[tex]y=8x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4 = 8 (x-2)[/tex]

[tex]y-4 = 8x-16[/tex]

[tex]y = 8x-16+4[/tex]

[tex]y=8x-12[/tex]

Mary is 10 years old and Eleanor is 15 years old. Divide £1:75 between them in the ratio of their ages

Answers

Answer:

Mary have £ 0.7

and Eleanor 1.05

because

Mary 10/ 10 +15 × 1.75= .7

Eleanor 15 /10+15× 1.75 =1.05

28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.

Answers

Answer:

[tex]\frac{5}{6}[/tex] cups

Step-by-step explanation:

Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.

1 [tex]\frac{1}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt

[tex]\frac{3}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt

2[tex]\frac{1}{2}[/tex] cookies --- ? cup plain yogurt

[tex]\frac{5}{2}[/tex] cookies --- [tex]\frac{5}{3}[/tex] × [tex]\frac{1}{2}[/tex] cup plain yogurt = [tex]\frac{5}{6}[/tex] cups plain yogurt

The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point ​(​8,6​) ​represent? If the plants grew 12 mm one​ season, how much rain​ fell?

Answers

Answer/Step-by-step explanation:

✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.

✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.

From the graph, when y = 12, x = 16.

This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.

Therefore:

If the plants grew 12 mm one season, 16 cm rainfall fell.

HELP PLEASE ITS MY LAST QUESTION!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______

Let C = _______

Answers

Answer:

N=CD C=2-3 sentance

Step-by-step explanation:

(Need help ASAP)
How many solutions does the equation have:
3x - 5 = -5 + 3x

Answers

Answer:

Infinitely many

Step-by-step explanation:

Add 5 to both sides and subtract 3x on both sides. that results in 0=0. if the numbers are the same, than its infinitely many.

Answer:

0=0

Step-by-step explanation:

3x-5=-5+3x

0=0

I’ll name brainliest✨

Answers

Answer: -5 1/2 or -5.5

Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2

Answer:

Point B is located at -5.5

Step-by-step explanation:

Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5

I hope this helped to answer your question.  

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