Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per roll for each shop.
Write which shop is the best value for money in the comment box.
lidal:8 for 2.80
oldi:9 for 3.24

The iterative rule for each sequence in the table will be to use the slope-intercept form of the equation of a line y=mx+b.

In this situation, x is the week, and y is the amount paid. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0.

The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1.

After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week.

Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.

The calculations to convince your friend that both your rules work are:

m=(y2-y1)/(x2-x1)

(x1,y1)=(1,200)

(x2,y2)=(2,250)

m=(250-200)/(2-1)

=50/1 =50

y=50x+b

200=50(1)+b

200=50+b

b=200-50

b=150

Learn more about tables on:

https://brainly.com/question/3632175

#SPJ1

We will spend altogether $1400.

We know that the process of combining two or more items is known as an addition. Addends are the sums of the numbers that are added. The addition sign (+), which is positioned in between the addends, is present. The outcome of adding the addends is referred to as the sum.

Given that

Food = $594.09

Clothes = $204.33

Trips = $100.40

Transport = $310.05

Extras = $189.74

Now we have to round each price to a hundred dollars.

Food = $600

Clothes = $200

Trips = $100

Transport = $300

Extras = $200

Now the sum = 600 + 200 + 100 + 300 + 200 = 1400

Therefore, we will spend altogether $1400.

Learn more about addition here -

https://brainly.com/question/641144

#SPJ10

The perimeter of the actual pool will be option C. 1100 ft.

It's the sum of the length of the sides used to make the given figure.

A scale drawing of a new pool is shown. All the corners are at right angles.

The lengths are 6 in, 2 in, 5 in and 3 in.

Perimeter = 6 + 2 + 5 + 3 + 2 + 4

                 = 22 in

We have given a scale;

1/2 in = 25 ft

So, 1 in = 50 ft

26 in will be

22 x  50 = 1100 ft

Hence, the perimeter of the actual pool will be option C. 1100 ft.

Learn more about perimeter here:

https://brainly.com/question/10466285

#SPJ1

Similar triangles can be used to explain the slope through the right angle.

It should be noted that a triangle refers to a shape that has three sides and angles.

In this case, similar triangles can be used to explain the slope through the right angle. The slope of the hypotenuse is what we are concerned about.

The legs of the triangle will be the horizontal change and the vertical change of the endpoints.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

The answers include the following:

This is a form of risk management which protects individuals from any form of loss or damage.

Life insurance has different types which are appropriately mentioned and matched above.

Read more about Insurance here https://brainly.com/question/24957776

#SPJ1

Answer:

out of 700 full marks dolma obtained 525 marks in an examination express her marks in percent

Answer: 26 cards

Step-by-step explanation: Just divide 52 by 2 and you get 26 cards :)

That is the answer for the 3 questions

Answer:

You're correct

Step-by-step explanation:

The fraction of the colored part is 10/12 or 5/6. None of the option is correct

Fractions are written as a ratio of two integers. From the given question;

3 square divided into4 equal parts will have a total of 12 parts. If Kelly colors 10 parts, the fraction of the colored part will be:

Fraction. = 10/12

Fraction = 5/6

Hence the fraction of the colored part is 10/12 or 5/6

Learn more on proportion here: https://brainly.com/question/19994681

#SPJ1

The graph we need is [tex]y=-3^x[/tex], which is shown in the attached image.

Answer:

No, it does not represent a function

Step-by-step explanation:

A function can be described as a set of points where each x coordinate has 1 corresponding Y coordinate

1 has multiple different Y coordinates

2 has multiple different Y coordinates

-4 has multiple different Y coordinates

Answer:

Only the second one

Step-by-step explanation:

All of the others have multiple values for 'x'

  a function can only have one value for each value of x

     Example: the first one      when x = 2   it has two 'y' values   3 and 9

The product (-3) * (1, 4) is (-3, -12)

The expression is given as:

(-3) * (1, 4)

Rewrite the expression as

(-3 * 1, -3 * 4)

Evaluate the product

(-3, -12)

Hence, the product (-3) * (1, 4) is (-3, -12)

Read more about products at:

https://brainly.com/question/10873737

#SPJ1

The 2018 actual overhead cost rate is $6.55

Compute the actual overhead cost rate for 2018?

Note that the requirement is to determine the actual overhead cost rate per machine hour in the year 2018, which considers the actual manufacturing overhead incurred and the actual machine hours used.

In essence, the actual overhead cost rate is the actual manufacturing overhead cost divided by the actual machine hours

actual overhead cost rate=$360,000/55,000

actual overhead cost rate=$6.55

https://brainly.com/question/16868593

#SPJ1

Answer:

a)

density = mass/volume

density = 320/128

density = 2.5 g/cm3

b)

mass = density x volume

mass = 65 x 26

mass = 1690g

Answer:

a) d = 2.5g/cm3

b) m = 1690g

Step-by-step explanation:

density equals mass between volume

a) [tex]d=320g/128cm^{3} =2.5g/cm^{3}[/tex]

mass equals density by volumen

b)[tex]m=(26g/cm^{3} )(65cm^{3} )=1690g[/tex]

Hope this helps

The trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ

Since (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]

Using the identity a² - b² = (a + b)(a - b), we have

(cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = [(cos²θ)² - (sin²θ)²]/[1 - (tan²θ)²]

= (cos²θ - sin²θ)(cos²θ + sin²θ)/[(1 - tan²θ)(1 + tan²θ)] =

= (cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] (since (cos²θ + sin²θ) = 1 and 1 + tan²θ = sec²θ)

Also, Using the identity a² - b² = (a + b)(a - b), we have

(cos²θ - sin²θ) × 1/[(1 - tan²θ)sec²θ] = (cosθ - sinθ)(cosθ + sinθ)/[(1 - tanθ)(1 + tanθ)sec²θ]

= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)/cosθ × (cosθ + sinθ)/cosθ × sec²θ]

= (cosθ - sinθ)(cosθ + sinθ)/[(cosθ - sinθ)(cosθ + sinθ)/cos²θ × 1/cos²θ]

= (cosθ - sinθ)(cosθ + sinθ)cos⁴θ/[(cosθ - sinθ)(cosθ + sinθ)]

= 1 × cos⁴θ

= cos⁴θ

So, the trigonometric identity (cos⁴θ - sin⁴θ)/(1 - tan⁴θ) = cos⁴θ

Learn more about trigonometric identities here:

https://brainly.com/question/27990864

#SPJ1

The amount of money left for Mr Ade after deducting his house payment, children allowance and food is #110

Amount given to each child = #2

Number of children = 5

= #10

Balance left = 460 - (50 + 10 + 290)

= 460 - (350)

= #110

Learn more about total balance:

https://brainly.com/question/26867415

#SPJ1

There are 14,515,200 ways to arrange the people around the table

The given parameters are:

People = 13

Thénardiers = 2 actors

Cosette and Marius = 2 actors

If the married actors must seat together, then the actors must be grouped as 1.

The 2 actors can be arranged in 2! ways each

Now, there are 9 individuals remaining

The 9 people can be arranged in 9! ways

So, the number of ways is

Ways= 2! * 2!* 9!

Evaluate

Ways =14,515,200

Hence, there are 14,515,200 ways to arrange the people around the table

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

Option (A) one side of a triangle is the object that best describes the term line segment is the correct answer.

What is a line segment?

A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.

For the given situation,

A line segment is a portion or piece of a line that allows you to build polygons, determine slopes, and make calculations.

From the definition of line segment we know that the object that best describes the term line segment is one side of a triangle.

Hence we can conclude that option (A) one side of a triangle is the object that best describes the term line segment is the correct answer.

Step-by-step explanation:

the slope of a line is the factor of x, when the equating looks like

y = ...

so,

x - 3y = 3

x = 3y + 3

3y = x - 3

y = 1/3 x - 1

so, the original slope is 1/3.

a parallel line has the same slope.

having a specific point we can use the point-slope form as equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

y - -3 = 1/3(x - 2)

y + 3 = 1/3(x - 2)

simplified that is

y + 3 = 1/3 x - 2/3

y = 1/3 x - 2/3 - 3 = 1/3 x - 2/3 - 9/3 = 1/3 x - 11/3 =

= 1/3 × (x - 11)

Answer:

[tex]y=\frac{1}{3}x - \frac{11}{3}[/tex]

Step-by-step explanation:

We are given the line x-3y=3.

We want to write the equation of the line that is parallel to this line, and that passes through (2, -3).

Parallel lines have the same slope.

Therefore, let's find the slope of x-3y=3.

The line is currently written in standard form, which is ax+by=c, where a, b, and c are free integer coefficients.

In order to find the slope of this line, we can convert it into slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.

To do that, we need to isolate y on one side; this is the same as solving the equation for y.

x - 3y = 3

Start by subtracting x from both sides

-3y = -x + 3

Now divide both sides by -3

[tex]y = \frac{1}{3} x - 1[/tex]

The slope of the line is 1/3, as 1/3 is the coefficient in front of x.

It is also the slope of our new line.

Since the question doesn't specify which format for the equation of the line, we can use any form. However, let's put the equation of the new line into slope-intercept form.

So, substitute 1/3 as m in y=mx+b.

[tex]y = \frac{1}{3} x + b[/tex]

Now we need to find b.

As the equation passes through the point (2, -3), we can use its values to help solve for b.

Substitute 2 as x and -3 as y.

[tex]-3 = \frac{1}{3} (2) + b[/tex]

Multiply.

[tex]-3 = \frac{2}{3} + b[/tex]

Subtract 2/3 from both sides (we can write this as an improper fraction).

[tex]-\frac{11}{3} = b[/tex]

Substitute -11/3 as b in the equation.

[tex]y=\frac{1}{3}x - \frac{11}{3}[/tex]

Answer:

Step-by-step explanation:

[tex]F(2)=\frac{1}[3} \cdot 4^{2}=\frac{16}{3}[/tex]

Answer: 745.50

Step-by-step explanation:

49445-41990=7455

7455/10=745.50

This transformation requires us to shift 1 unit left and 4 units down.

Factorizing the denominator gives

[tex]\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{x^4}{x(x^2+1)(x^2-x+7)} = \dfrac{x^3}{(x^2+1)(x^2-x+7)}[/tex]

Then the partial fraction decomposition would take the form

[tex]\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{a_0x + b_0}{x^2+1} + \dfrac{a_1x + b_1}{x^2-x+7}[/tex]

Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie. The required critical value is 1.31.

Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie; for example, if the null hypothesis is true, the critical value is surpassed with probability alpha.

The value of α can be written as,

α = 1 - 0.81 = 0.19

[tex]z_{\frac{\alpha}{2}} = \dfrac{0.19}{2}= 0.095[/tex]

Now, using the z-table the value of z will be,

z = 1.31

Hence, the required critical value is 1.31.

Learn more about Critical Values:

https://brainly.com/question/14508634

#SPj

Answer:

The required cost is $10,612.8

Step-by-step explanation:

Find the value at t = 3.6:

2948t, t=3,6

Substitute t=3,6

Multiply 2948x3,6

Solution = 10612,8

The height of the ramp of Raúl is calculated as; 8ft

Both big and small triangles are similar triangles because all three of their corresponding angles are congruent.

Now, to get the height we will use the concept of similar triangles to get;

h/2 = 12/3

Cross multiply to get;

h = 24/3

h = 8 ft

Thus, the height of the ramp of Raúl is 8ft.

Read more about similar triangles at; https://brainly.com/question/14285697

#SPJ1

Answer:

C

Step-by-step explanation:

To be a factor of 16 they need to be numbers that divide into it without remainders.

Answer:

Step-by-step explanation:

its C

Answer: (8,3)

Step-by-step explanation:

The distance from (2,3) to (5,3) is 3. The only other point that is 3 units away from (5,3) where y=3 is (8,3).