Six toilet rolls cost $1.99. Nine toilet rolls cost $2.69. Is cost directly proportional to number of toilet rolls? Explain your reason!​

Answers

Answer 1

Answer:

not directly proportional

Step-by-step explanation:

if the cost is directly proportional to number of rolls , then the unit cost for both will be equal.

first

one roll costs $1.99 ÷ 6 = $0.33 ( to 2 decimal places )

second

one roll costs $2.69 ÷ 9 = $0.30 ( to 2 decimal places )

since the unit costs are different there is not a directly proportional relationship.

Answer 2

Answer:

No because to buy nine rolls would be $2.69 but to buy six and then three to make nine then it would be $2.985 which is more expensive.

Step-by-step explanation:

$1.99 divided by 2 = 0.995

$1.99 + 0.995 = $2.985

$2.985 > $2.69

Hope this helps!!! :)

Related Questions

heyy! i’ll give brainliest please help

Answers

the answer is absolute dictator

Answer the following questions:

1. a. 126 ÷ 12
b. 217 ÷ 4
c. 75 ÷ 6
d. 11 ÷ 9
e. 200 ÷ 35

2. a. Determine whether the quotient of 7 ÷ 2.2 is a terminating or nonterminating, repeating decimal.
b. Find out if the quotient of 0.5 ÷ 0.12 is a terminating or nonterminating, repeating decimal.
c. Which of these has a quotient that is a nonterminating, repeating decimal:
3 ÷ 0.8, 9 ÷ 0.16 or 2 ÷ 2.7?
d. Mr. Pelaez wants to divide his 1.3 hectares of land among his three children. How much land will each child get?

3. Identify if each resulting quotient is a terminating or nonterminating, repeating
decimal.
a. 2 ÷ 3
b. 5 ÷ 1.2
c. 0.3 ÷ 0.9
d. 2.4 ÷ 1.8

4. In a feeding activity, the teacher used 1.25 kilograms of ground pork to make 30 pieces of hamburger patties. How much meat was there in one piece of hamburger?

Answers

1. The quotients of the following division operations are as follows:

a) 126 ÷ 12 is 10.5.

b) 217 ÷ 4 is 54.25.

c) 75 ÷ 6 is 12.5.

d) 11 ÷ 9 is 1.2222.

e) 200 ÷ 35 is 5.7143.

2a) The quotient of 7 ÷ 2.2 is a nonterminating or repeating decimal.

2b) The quotient of 0.5 ÷ 0.12 is a nonterminating or repeating decimal.

2c) The division operation with a quotient that is nonterminating or repeating decimal is 2 ÷ 2.7.

3) The identification of each resulting quotient as a terminating or nonterminating, repeating decimal is as follows:

a. 2 ÷ 3 Nonterminating quotientb. 5 ÷ 1.2 Nonterminating quotientc. 0.3 ÷ 0.9 Nonterminating quotientd. 2.4 ÷ 1.8 Nonterminating quotient.

4) The quantity of meat in one piece of hamburger, if they are evenly shared or divided, is 41.67 g.

What is the quotient?

The quotient is the result of the division operation.

Every division operation involves the dividend (the numerator), the divisor (the denominator), the division operand (÷), and the equal sign (=).

2)

a) 7 ÷ 2.2 = 3.181818

b) 0.5 ÷ 0.12 = 4.16667

c) 3 ÷ 0.8 = 3.75

9 ÷ 0.16 = 56.25

2 ÷ 2.7 = 0.740740

3)

a. 2 ÷ 3 = 0.6667

b. 5 ÷ 1.2 = 4.16667

c. 0.3 ÷ 0.9 = 0.3333

d. 2.4 ÷ 1.8 = 1.3333

4) Total weight of ground pork = 1.25 kilograms

1 kg = 1,000 g

1.25 kg = 1,250 g

The pieces of patties = 30

The weight of each piece = 41.67 g (1,250/30)

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What is the difference between a difference of two squares and a perfect square trinomial?

Answers

Depending on whether a and b are real numbers, they can factor as (a + b) (a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.

what is perfect square ?

When you square an integer, you get perfect squares. The number 81, for example, is a perfect square since it can be derived by squaring 9: 99=81. Because 12 can be squared to make 144, 144 is a perfect square. 13 may be squared to make 169, which is a perfect square. Mathematics-related language. Informally: When an integer (a "whole") number is multiplied by itself, whether the result is positive, negative, or zero, the result is referred to as a square number, a perfect square, or simply "a square." All square numbers are therefore 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

Perfect square trinomials, also referred to as trinomial squares, are the squares of binomial expressions.

Depending on whether a and b are real numbers, they can factor as (a + b)(a + b) or (a - b)(a - b). Forms like (a + b)(a - b) are unique products also known as the difference of squares.

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2x+5=2x+6
equations please help
8th grade math

Answers

Answer:

Step-by-step explanation:

Given: 2x+5=2x+6

Subtract 5 from both sides:

2x=2x+6-5

2x=2x+1

Subtract 2x from both sides:

2x-2x=1

0=1

Therefore, this is a false statement, so there are no solutions.

Graph the line that passes through the points (-3, -1) and (1, -1) and
determine the equation of the line.

Answers

Answer:

y = -1

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

To find slope we look for the rise/run or (y2 - y1) / (x2 - x1)

The slope here is 0, and the y-intercept is located at (0,-1), so the equation is

y = -1

Answer:

y = -1

Step-by-step explanation:

The diagram shows a cuboid with a volume of 42 cm³. K ? cm Work out the missing length of the cuboid. 2 cm 3 cm​

Answers

Using the formula for the volume of cuboid that is the product of length, breadth and height, The answer is 7cm.

What is a cuboid?

A cuboid is a three-dimensional shape with six rectangular faces, three of which are pairs of congruent squares and the other three are rectangles. It is also known as a rectangular prism. The opposite sides of a cuboid are parallel and equal in area. The length, width, and height of a cuboid are three of its measures of size.

What do you mean by volume and formula for volume of cuboid?

The volume of a three-dimensional object is a measure of the amount of space it occupies. It is typically measured in units of cubic units, such as cubic centimeters (cm^3) or cubic meters (m^3). The formula for the volume of a cuboid is length x width x height. For example, if a cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm, its volume would be 5 x 3 x 2 = 30 cubic centimeters. In general, the volume of a three-dimensional object can be found by multiplying the area of its base by its height.

length = 2cm

breadth =3cm

volume = 42 cm³

volume = l*b*h

42 = 2*3*h

h= 42/6 =7cm

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What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 15 observations

Answers

A 95% confidence interval has a critical value of 1.96, where (1-0.95)/2 = 0.025. The unknown mean's 95% confidence interval is (101.82 - 0.96, 101.82 + 0.96), which translates to (101.82 - 0.96, 101.82 + 0.96) = (100.86, 102.78).

The critical t-value is what?

The t-critical value marks the threshold at which the null hypothesis is accepted or disregarded. The null hypothesis is rejected if the t-statistic is closer to 0 than the t-critical value; otherwise, it is retained.

How do we determine the appropriate value of T *?

Using a standard t-test and the following formula, you can determine a t-value: t is equal to (X - ц0) / (s / √n), where X is the sample mean, 0 is the population mean, s is the sample standard deviation, and n is the sample size.

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A 95% confidence interval has a critical value of 1.96, where (1-0.95)/2 = 0.025. The unknown mean's 95% confidence interval is (101.82 - 0.96, 101.82 + 0.96), which translates to (101.82 - 0.96, 101.82 + 0.96) = (100.86, 102.78).

The critical t-value is what?

The t-critical value marks the threshold at which the null hypothesis is accepted or disregarded. The null hypothesis is rejected if the t-statistic is closer to 0 than the t-critical value; otherwise, it is retained.

How do we determine the appropriate value of T?

Using a standard t-test and the following formula, you can determine a t-value: t is equal to [tex](X - ц0) / (s / √n)[/tex], where X is the sample mean, 0 is the population mean, s is the sample standard deviation, and n is the sample size.

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What is line segment Theorem?

Answers

Line segment theorem states that if a line segment is bisected by another line, then the two parts of the line segment are equal.

This theorem is also known as the Midpoint Theorem. The formula for the Line Segment Theorem is A/B = C/D, where A and C are the two halves of the line segment, and B and D are the distances from the midpoint to the two endpoints of the line segment.

For example, consider a line segment AB with endpoints at A(-3, 2) and B(3, 2). The midpoint of the line segment is at (0,2). To calculate the length of each half of the line segment, we would use the distance formula and plug in the coordinates of the two endpoints and the midpoint.

For half A, the distance is d(A, M) = sqrt[(-3 - 0)^2 + (2 -2)^2] = 3.

For half C, the distance is d(M, B) = sqrt[(3 - 0)^2 + (2 -2)^2] = 3.

Therefore, A/B = 3/3 = 1 and C/D = 3/3 = 1. This confirms that the two halves of the line segment are equal in length.

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hi plz answer image below may god less you no bot answers plz

Answers

Answer:42.875 feet3

Step-by-step explanation:

Answer:

Step-by-step explanation:

V=a³

=[tex](3\frac{1}{2})^3=42\frac{7}{8}[/tex]in³

heyy! i’ll give brainliest please help.

Answers

Answer:

B: weather occurs because the climate is constantly changing

Step-by-step explanation:

9 Jugadores de un equipo de baloncesto chocan palmadas unos con otros ¿Cuántas palmadas dan en total? 2 jugadores dan una palmada. 3 jugadores, tres palmadas. 4 jugadores, seis palmadas. 5 jugadores, diez palmadas.

Answers

Answer:

Los jugadores dan 36 palmadas en total.

Step-by-step explanation:

Dado que 9 jugadores de un equipo de baloncesto chocan palmadas unos con otros, para determinar cuántas palmadas dan en total, sabiendo que 2 jugadores dan una palmada, 3 jugadores, tres palmadas, 4 jugadores, seis palmadas, y 5 jugadores, diez palmadas, se debe realizar el siguiente cálculo:

Cada jugador da un número de palmadas igual al número de jugadores en el campo, menos 1. A su vez, esa palmada es recíproca con el otro jugador que la recibe, con lo cual el número de jugadores a contar va disminuyendo.

8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = X

15 + 6 + 5 + 4 + 3 + 2 + 1 = X

21 + 5 + 4 + 3 + 2 + 1 = X

26 + 4 + 3 + 2 + 1 = X

30 + 3 + 2 + 1 = X

33 + 2 + 1 = X

35 + 1 = X

36 = X

Por lo tanto, dan 36 palmadas en total.

Can some one help me with this question its hard :( down below ill give brainliest
and plz explain

Answers

Answer:

C. xy²

Step-by-step explanation:

You have to add the exponents:

(xy) exponent is 1

(x) exponent is 1

Combine the (x):

xy²

What is the 3 variable?

Answers

A three-variable system is a system of equations or inequalities involving three variables.

The three variables could refer to any three related quantities, such as a person's age, height, and weight. In a three-variable system, the number of equations is equal to the number of variables, so three equations are needed to solve the system. Each equation in the system will involve all three variables and will be solved through a combination of algebraic manipulation, substitution, and elimination techniques. Once all three equations have been solved, the values of the variables can be found.

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A scatter plot was made to show the value of various vehicles based on the age of the vehide (in years). The equation for the line of best fit is y= 34,000 - 1,600x wherey is the value of the vehicle in dollars and x is the age of the vehicle in years. Use the line of best fit to predict the value of the vehide after 8 years

Answers

Answer:

$21,200

Step-by-step explanation:

Given the best fit equation:

y= 34,000 - 1,600x

Where ;

y = value of vehicle in $

x = Age of vehicle in years

The predicted value of vehicle aged 8 years ;x = 8

y = 34000 - 1600(8)

y = 34000 - 12800

y = 21,200

Hence, the predicted value of car aged 8 years is $21,200

Find the product of 12 and 8. Find the greatest common factor of 12 and 8. Find the least common multiple of 12 and 8. Find the product of the greatest common factor and the least common multiple of 12 and 8.

Answers

Answer:

Product: 96

GCF: 4

LCM: 24

Product of the GCF and LCM: 96

Step-by-step explanation:

Product - The answer to a multiplication problem.GCF - The greatest positive integer that evenly divides both numbers.LCM - The smallest multiple that both numbers have in common.

Now that we know what definitions are, we can solve this word problem.

12 × 8 = 96.

96 is the product.

To find the greatest common factor, we can list all of the factors for each number.

12: 1, 2, 3, 4, 6, 12

8: 1, 2, 4, 8

The largest factor both numbers have in common is 4.

Therefore, 4 is the greatest common factor.

To find the least common multiple, we can list the multiples of both numbers.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64

The smallest multiple both numbers have in common is 24.

Therefore, 24 is the least common multiple.

Lastly, we have to find the product of the GCF and the LCM.

The GCF is 4 and the LCM is 24.

4 × 24 = 96.

96 is the product.

Therefore, 96 is the product of the greatest common factor and the least common factor of 12 and 8.

What is sin E for this triangle?
Enter your answer by filling in the boxes.
E
g
F
sin E =
I
e

Answers

Answer:

e/f

Step-by-step explanation:

sin =opposite/ hypothenuse

e is opposite

f is hypothenuse

With respect to the reference angle E, sinE = e/f.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know, sin is opposite over hypotenuse.

From the given figure, With respect to the reference angle E,

opposite is FG and hypotenuse is EG.

Therefore, sinE = FG/EG.

sinE = e/f.

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Finn leaned a 100-foot ladder against the side of a building. The base
of the ladder is 14 feet from the base of the building. The top of the
ladder is 11 feet from the top of the building. How tall is the building?
Provide an answer accurate to the nearest tenth of a foot.

Answers

The height of the Building is 110.01 feet.

What is the Pythagorean theorem?

The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem.

Given, Finn leaned a 100-foot ladder against the side of a building. The base of the ladder is 14 feet from the base of the building. The top of the ladder is 11 feet from the top of the building.

For the triangle made by ladder

hypotenuse = 100

base = 14

thus, from the Pythagorean theorem

hypotenuse² = base² + height²

100² = 14² + height²

height² = 10000 - 196

height = √9804

height = 99.01

total height of the wall = height of triangle + remaining height of the wall

Thus the total height of the wall  = 99.01 + 11

the total height of the wall  = 110.01

therefore, the building is 110.01 feet tall.

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Which rule describes the relationship between the ex and Y coordinates on the following graph
choose 1 answer:
A) y = x
B) y = 2x -2
(PICTURE INCLUDED WHOEVER GETS IT RIGHT FIRST GETS MARKED BRAINLIEST)

Answers

Answer:

A, y = x

Step-by-step explanation:

Slope is equal to one

Y-intercept is origin

Answer:

A.) Y=X

Step-by-step explanation:

It intercepts with origin

Given cos 0= -1/2 and angle 0 is in quadrant two what is the exact value of sin 0  in simplest form

Answers

Answer:

[tex]-\sqrt{7/4}[/tex]

Step-by-step explanation:

[tex] \sin( \theta) = \frac{ \sqrt{3} }{2} [/tex]

Which of these equations is equivalent to the following: 8/12 divided by 7/8=
Plsssss help me

Answers

Answer: o.7619

Step-by-step explanation: i used the standard algorithm i am sorry i cant do a more in depth just hard to do with words ;)

Answer: 0.7619

:)

Step-by-step explanation:

A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height.

Answers

Answer:

The height of the triangle = 6 inches

The base of the triangle = 10 inches

Step-by-step explanation:

The formula for the Area of a Triangle = 1/2 × Base × Height

Area = 30 in²

h = b - 4

Hence

30 = 1/2 × b × b - 4

Cross Multiply

30 × 2 = b² - 4b

60. = b² - 4b

b² - 4b - 60

We factorise the Algebraic expression to find b

b² - 4b - 60 = 0

b² - 10b + 6b - 60 = 0

b(b - 10) + 6(b - 10) = 0

(b - 10) + (b + 6 ) = 0

b - 10 = 0 , b = 10

b + 6 = 0, b = -6

We are going to take the positive answer of b as the value of b

b = 10 inches

Solving for h

h = b - 4

h = 10 - 4

h = 6 inches

Therefore, the height of the triangle = 6 inches

base of the triangle = 10 inches

my helpers help me again -^-

Answers

Answer:

g= 92°

h= 88°

k= 91°

m= 89°

Step-by-step explanation:

Answer:

g = 92°

h = 88°

k = 91°

m = 89°

Step-by-step explanation:

Have a nice day!

PLEASE HELP!!
The function f(x) has a vertical asymptote at x = [BLANK].

Answers

Answer:

-4

Step-by-step explanation:

Clara and erin volunteered at an animal shelter a of 9 1/5 hours. Clara worked for 41/3 hours. How many hours did erin work?Yon can use fraction strips to solve this problem

Answers

If $10,000 is invested at x percent simple annual interest for n years, the total amount of interest would be F = 10,000n(x/100)

What is simple interest?

Simple interest is calculated based on the principle of a loan or the initial deposit into a savings account. Simple interest doesn't compound, so a creditor will only charge interest on the principal sum, and a borrower will never be required to pay interest on interest that has already accrued.

F = P(1+rt), formula for simple rate of interest

Here,

=> Future value is F

Present value is P

=> Rate is R

=> Time is t

Substituting x for r

And, n for t

Also, 10,000 in for P

F = 10,000(1+xn)

The formula tells us principal + interest,

F = 10,000(xn)

Now, to get the x into terms of a percentage,

F = 10,000(n * x/100)

F = 10,000n(x/100)

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can someone pls help

Answers

Answer:

10 walnuts..

Step-by-step explanation:

12 - 2 = 10

Answer:

10?

Step-by-step explanation:

12-2=10

Use the graph of the function to find the domain and range of f (Enter your answers using interval notation)

Answers

In the given graph the domain and range of function y=f(x) is

Domain: (-2,2]

Range : [-4, 5)

What is domain and range?

A function's domain is the set of all possible inputs to the function. This means it can be any number that can be entered into a function. For the majority of functions, this will be any number that can be substituted for the letter x. Except for a few exceptions such as square root functions and rational numbers, your domain will almost always be all real numbers.

The set of all possible outputs of a function is referred to as its range. This is usually represented by the letters y or f(x). The range is any number obtained by substituting any number for x.

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find the value of n so that the system below has no solution y=nx-3
y=-4x+3

Answers

Answer:

n = - 4

Step-by-step explanation:

The system of linear equations has no solution when the lines are parallel. It means the lines have same slope but different y-intercepts.

The y-intercepts are different:

-3 and 3, and the slope of one line is -4.

For the given system to have no solution we need n = -4.

If 2 kids shared 1/3 of a cookie how much would each kid get?

Answers

Answer:

1/6

Step-by-step explanation:

if one kid shared 1/3 of cookies then each kid would have 1/3 of cookies

Joanne is campaigning for class president and plans to distribute some campaign materials. 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?

Answers

The greatest number of classrooms is 4, Joanne can distribute materials

5 flyers and 4 buttons.

What is the greatest common factor?

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor or GCF.

Given:

Joanne is campaigning for class president and plans to distribute some campaign materials.

20 flyers and 16 buttons.

She wants each classroom to receive an identical set of campaign materials, without having any materials left over.

In order to find the greatest number of classrooms, Joanne can distribute materials:

We have,

the number of flyers = 20.

Number of buttons = 16

We need to find the GCF.

GCF of 16 - 1,2,4,8,16

GCF of 20-1,2,4,5,10,20

Clearly, 4 is the GCF.

Therefore, total number of classrooms = 4

Number of flyers distributed to each classroom

= Total number of flyers / Total number of classroom

= 20/4

= 5

Number of buttons distributed to each classroom

= Total number of buttons/ Total number of classrooms

= 16/4

= 4

Therefore, the Joanne can distribute 5 flyers and 4 buttons to each classroom.

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A group of friends wants to go to the amusement park. They have no more than $310
to spend on parking and admission. Parking is $9, and tickets cost $35 per person,
including tax. Write and solve an inequality which can be used to determine x, the
number of people who can go to the amusement park.

Answers

Answer: [tex]35x+9\leq 310,\ 8[/tex]

Step-by-step explanation:

Given

A group of friends has $310 to spend

Parking costs $9 and ticket cost $35 per person

Suppose  there are x friends who go to amusement park

So, the cost of tickets and parking must be less than or equal to $310

[tex]\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6[/tex]

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.

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