Here is some information about the cost of stickers in two shops.

Stickers4u
Pack of 25 stickers for £2.25

World Stationery
Pack of 10 stickers for £1.75
Buy 1 pack get 1 pack free

Gigi wants to buy the stickers for the best possible price.

Which shop should Gigi buy the 100 stickers from?
You must show how you get your answer.

The equation defines y as a function of x, where the function has a slope of -2 and a y-intercept of -8.

If there is only one unique value of y for each value of x, then the equation 4x + y = 2x - 8 does not define y as a function of x.

The equation can be rewritten as y = mx + b, where m denotes the slope and b the y-intercept.

4x + y = 2x - 8

Taking 2x away from both sides:

2x + y = -8

When we take away 2x from both sides, we obtain:

y = -2x - 8

As a result, the equation establishes y as a function of x, with a y-intercept of -8 and a slope of -2.

To know more about Function visit:

https://brainly.com/question/14996337

#SPJ9

Let's use the given information to set up equations to solve for the ages of the family members.

We know that the mean age of the family is 23 years, so we can write:

(sum of ages) / 7 = 23

sum of ages = 161

We also know that the median age is 16 years, which means that the ages of the family members can be arranged in order from smallest to largest, and the middle age (or the average of the two middle ages, if there are an even number of ages) is 16. We can use this information to set up an equation:

(3rd smallest age + 4th smallest age) / 2 = 16

3rd smallest age + 4th smallest age = 32

Next, we know that the range of the ages is 35 years, which means that the difference between the largest age and the smallest age is 35. We can use this information to set up another equation:

largest age - smallest age = 35

Finally, we know that the modes (the most common ages) are 12 years and 45 years. This means that there are two family members whose ages are 12 years and two family members whose ages are 45 years. We can use this information to set up two more equations:

number of 12-year-olds + number of 45-year-olds = 4

12 x number of 12-year-olds + 45 x number of 45-year-olds = sum of ages

We now have five equations and five unknowns (the ages of the seven family members). We can solve for these unknowns using algebra. One possible set of ages that satisfies all of the equations is:

2, 2, 12, 16, 20, 45, 64

(Note that the ages do not have to be integers, but this particular set of ages happens to be integers and satisfies all of the given conditions.)

The sale price per sheet in this example is $12.60.

What is the discount?

A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.

To compare the two deals, we need to calculate the sale price per sheet for each deal.

In the previous example, the sale price per sheet was $15.00 after a 20% discount off the regular price of $18.00.

In this example, the sale price per sheet is 30% off the regular price of $18.00, so we can calculate the sale price per sheet as:

Sale price per sheet = Regular price per sheet - Discount amount

Sale price per sheet = $18.00 - (30% x $18.00)

Sale price per sheet = $18.00 - $5.40

Sale price per sheet = $12.60

Comparing the two deals, we can see that the sale price per sheet in this example is lower than the sale price per sheet in the previous example. Therefore, the better deal is the 30% discount off the regular price of $18.00, which results in a sale price per sheet of $12.60.

Therefore, the sale price per sheet in this example is $12.60.

To learn more about the discount, visit:

brainly.com/question/1548141

#SPJ1

The result is not reasonably close to the value of 3/4 i.e. 0.75.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The probability of getting a green pea can be estimated by dividing the number of green peas by the total number of peas:

probability of green pea = number of green peas / total number of peas

In this case, the number of green peas is 439 and the total number of peas is the sum of the green and yellow peas, which is:

total number of peas = number of green peas + number of yellow peas

= 439 + 30 = 469

Therefore, the probability of getting a green pea is:

probability of green pea = 439 / 469 ≈ 0.935 or 93.5%

So, the estimated probability of getting an offspring pea that is green is approximately 93.5%.

The result is not reasonably close to the value of 3/4 i.e. 0.75.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

Answer:

Step-by-step explanation:

We can use the formula:

average speed = (speed downstream + speed upstream) / 2

We are given the speed downstream is 8 miles per hour and the speed upstream is 2 miles per hour. Therefore,

average speed = (8 + 2) / 2 = 5 miles per hour

So the answer is (B) 5.0 miles per hour to the nearest tenth.

The domain and range for the mapping diagram are given as follows:

The diagram represents a function, as each value of the input is mapped to a single value of the output.

The concepts for the domain and the range of the diagram are defined as follows:

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The probability of rolling a sum of 7 when rolling a pair of six-sided number cubes is 1/6

It is a branch of mathematics that deals with the occurrence of a random event.

We need to count the number of ways in which the cubes will have a sum of 7

There are six possible ways to roll a sum of 7

(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

Since each cube has six possible outcomes, there are a total of 6 x 6 = 36 possible outcomes when rolling two number cubes.

The probability of rolling a sum of 7 is the number of ways to roll a sum of 7 divided by the total number of possible outcomes:

Probability of rolling a sum of 7 = number of ways to roll a sum of 7 / total number of possible outcomes

Probability of rolling a sum of 7 = 6 / 36

Probability of rolling a sum of 7 = 1 / 6

Therefore, the probability of rolling a sum of 7 when rolling a pair of six-sided number cubes is 1/6

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ1

Answer:

First one is b second one is a thrid is c

Step-by-step explanation:

Answer:

10^9 = 1,000,000,000

2^6 = 64

7^1 = 7

10^3 = 1,000

10^8 = 100,000,000

0^4 = 0

7^6 = 117,649

Step-by-step explanation:

The exponent multiplies a number by itself by whatever value it is.

Answer:

↓ ↓ ↓

Step-by-step explanation:

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

________________________

Hope this helps! :)

The car's market value will therefore be $4,621.92 after five years.

Value is a good, service, or asset's estimated, monetary, or material worth. The term "value" can refer to a number of concepts, including shareholder value, company value, fair value, or market value.

After each year, the car's resale value will drop by 30%. Consequently, following a year, the value will be:

$27,500 × (1-0.3) = $19,250

The value after two years will be:

$19,250 × (1-0.3) = $13,475

The value after three years will be:

$13,475 × (1-0.3) = $9,432.50

The value after four years will be:

$9,432.50 × (1-0.3) = $6,602.75

The value will finally be after five years.

$6,602.75 × (1-0.3) = $4,621.92

To know more about market value visit:

https://brainly.com/question/30527446

#SPJ1

The value of the ratio g(24)/g(21) is 729, and other solutions are shown below

The domain and the range of h(n)

Given that

h(n) is the number of houses

The possible values of n and h(n) are whole numbers

So, we have

The values of h(5) and h(11)

Based on the patterns in the sequence, we have

h(n) = n

So, we have

h(5) = 5

h(11) = 11

The explicit function of h(n)

In (b), we have

h(n) = n

The values of s(4) and s(7)

Given that

s(n) is the number of segments

Based on the patterns in the sequence, we have

s(n) = 2n

So, we have

s(4) = 8

s(7) = 14

The growth pattern of s(n)

Above, we have

s(n) = 2n

The above equation is a proportional equation

This means that

The growth pattern of s(n) is linear, with a constant rate of change

The explicit function of s(n)

Above, we have

s(n) = 2n

Complete the table for f(5) and f(7)

From the table, we can see that

As n increases, the value of f(n) is divided by 2 to get the next term

So, we have

f(5) = 2/2 = 1

f(7) = 1/2/2 = 1/4

The domain of f(n)

The possible values of n are real numbers

So, we have

Domain: All set of real numbers

The observation of the function

Above, we have

As n increases, the value of f(n) is divided by 2 to get the next term

This means that

As n gets larger and larger, the value of f(n) get halved

The value of g(4)

From the question, we have

First term, a = 9

Common ratio, r = 2

This means that

g(n) = 2(9)^n-1

So, we have

g(4) = 2(9)^3

g(4) = 1458

Completing the statements

Based on the function definitions, the statements when completed are

Recall that

g(n) = 2(9)^n-1

So, we have

g(24) = 2(9)^23

g(21) = 2(9)^20

Divide the equations

g(24) = 2(9)^23

-------     ----------

g(21) = 2(9)^20

Evaluate

g(24)/g(21) = 729

Hence, the value of the ratio is 729

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

An object's size in real life and its size on a map or a blueprint are compared using a scale factor, which is a mathematical concept. The scale factor may exceed, fall short of, or be equal to 1.

The size of the object is decreased and becomes smaller if the scale factor is between 0 and 1. This is so because the scale factor only approximates the object's true size. The size of the thing on the map will be half that of the real object, for instance, if the scale factor is 0.5.

When the scale factor is 1, the object's size is said to remain constant. As a result, the map or blueprint is created using the same dimensions.

In other words, the map or blueprint is created at the exact same scale as the final product.

The size of the thing is enlarged and made larger if the scale factor is greater than 1. This is so because the scale factor is a multiple of the object's actual size. The size of an object on a map will appear twice as large as it is in reality, for instance, if the scale factor is 2.

In general, it's crucial to comprehend scale variables in order to appropriately depict an object's size on maps, blueprints, and other scaled representations.

Learn more about Scale factor here:

brainly.com/question/30215119

#SPJ1

Using the chain rule, the value for dz/dt is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

What is chain rule?

The chain rule is the formula used to determine the derivative of a composite function, such as cos 2x, log 2x, etc. Another name for it is the composite function rule. Only composite functions are subject to the chain rule.

To find dz/dt using the chain rule, we need to differentiate each term of z with respect to t, then multiply by the derivative of the inner function with respect to t.

First, we have -

x = 2t

Taking the derivative with respect to t, we get -

dx/dt = 2

Next, we have -

y = 4 - t²

Taking the derivative with respect to t, we get -

dy/dt = -2t

Using the chain rule, we have -

[tex]dz/dt = (x + y)e^y \times (\frac{dx}{dt} + \frac{dy}{dt}e^y)[/tex]

Substituting x and y into this equation, we get -

[tex]dz/dt = (2t + (4-t^2))e^{(4-t^2)} \times ((2 - 2t) e^{(4-t^2)})[/tex]

Simplifying this expression, we get -

[tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex]

Therefore, the value is obtained as [tex]dz/dt = 2(2t + (4 - t^2)e^{(4-t^2)}) ((1 - t)e^{(4-t^2)})[/tex].

To learn more about chain rule from the given link

https://brainly.com/question/28350594

#SPJ1

The ordered pair representing the point where both companies would charge the same amount is (25, 136.25).

From the given table, we can form the following equation for monthly cost of each company.

Company 1, the function for the monthly cost is;

(5, $55.25 ) and (10, $75.5). Let the monthly cost = y₁

(y₁ - 55.25 )/(x - 5) = ( 75.5 - 55.25 )/ (10 - 5)

y₁ = 4.05x + 35

Company 2, the function for the monthly cost is;

(5, $31.25 ) and (10, $57.5). Let the monthly cost = y₂

(y₂- 31.25 )/(x - 5) = ( 57.5 - 31.25 )/ (10 - 5)

y₂ = 5.25x + 5

To find the point where both companies charge the same amount, we need to set their costs equal to each other and solve for the number of garments, x:

y₁ = y₂

4.05x + 35 = 5.25x + 5

Subtracting 4.05x and 5 from both sides:

30 = 1.2x

Dividing both sides by 1.2:

x = 25

So both companies would charge the same amount when 25 garments are laundered. T

To find the cost, we can plug x = 25 into either equation:

y₁ = 4.05(25) + 35 = 136.25

y₂ = 5.25(25) + 5 = 136.25

Ordered pair = (25, 136.25)

Learn more about same amount for two services here:  https://brainly.com/question/14133517

#SPJ1

The complete question is below:

Two dry cleaning companies offer a home pick-up and delivery service. The monthly cost depends on the number of garments laundered, and is shown in the following table.

Number of Garments      Company 1       Company 2

5                                         $55.25              $31.25

10                                        $75.50             $57.50

15                                        $95.75              $83.75

Determine when both companies would charge the same amount and what that cost would be. Write your answer as an ordered with x representing the number of garments and y representing the cost.

The little monsters will do an overhead press and a squat at the same instant 3 times during the drill.

The term "operation" in mathematics refers to the process of computing a value utilising operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Rote tells the little monsters to do an overhead press every 12 seconds and a squat every 30 seconds.

The prime factorization of 12 is 2² x 3, and the prime factorization of 30 is 2 x 3 x 5.

To find the smallest common multiple, we need to take the highest power of each prime factor that appears in either factorization. Thus, the smallest common multiple of 12 and 30 are:

2² x 3 x 5 = 60

This means that the little monsters will do an overhead press and a squat at the same instant every 60 seconds.

To find out how many times this will happen during the 200-second drill, we can divide 200 by 60:

200 ÷ 60 = 3 remainder 20

This means that there will be 3 complete cycles of both exercises during the 200-second drill, with an additional 20 seconds left over.

Therefore, the little monsters will do an overhead press and a squat at the same instant 3 times during the drill.

Learn more about Mathematical operations here:

https://brainly.com/question/8959976

#SPJ9

Answer:

Step-by-step explanation:

After one year, Devon's income will have grown by 2.9%. However, because inflation is 3.1%, the purchasing power of his income will decrease. This means that Devon will be able to buy less than he could today.

To calculate how much Devon can buy with his annual income after one year, we can use the following formula:

Purchasing power = Income / (1 + inflation rate)

Substituting the values given in the problem:

Purchasing power after one year = Income / (1 + 0.031)

Purchasing power after one year = Income / 1.031

Therefore, Devon will be able to buy approximately 0.97 times (or 97% of) what he could buy with his income today. In other words, his purchasing power will have decreased by approximately 3%.

Answer:

Devon's annual income increases at a rate of 2.9% per year, which means that after one year, his income will be 1.029 times his current income. However, due to inflation of 3.1% per year, the purchasing power of money decreases, which means that after one year, the amount of goods and services that can be purchased with the same amount of money will be 1/1.031 times what it is today.

Therefore, after one year, Devon can buy (1.029/1.031) times what he can buy today with his annual income. Simplifying this expression gives:

1.029/1.031 = 0.9971

So, Devon can buy about 99.71% of what he can buy today with his annual income after one year. In other words, he can buy slightly less than he can buy today, because inflation is greater than the rate at which his income is increasing.

The number of square feet of wallpaper that Austin will need for the large wooden storage boxes would be = 1,296 ft².

To calculate the amount of wallpaper needed, we should find the area of the rectangular prism.

The formula for the area of rectangular prism = 2 (lh +wh + lw ).

Where;

Length (l) = 6ft

width (w) = 3ft

Height (h) = 6ft

area = 2( 6×6 + 3×6 + 6×3)

= 2( 36+18+18)

= 2( 72)

= 144 ft²

Therefore the amount of wallpaper needed = 144× 9 = 1296 ft².

Learn more about area here;

https://brainly.com/question/25965491

#SPJ1

The angular motion of the second hand is 720 h , we also have to know the meaning of angular motion.

The body moving along the curved path at a constant angular velocity can be used to describe the angular motion.

As there are 12 hours on a clock, every hour means 360/12 = 30° rotation for the hour hand.

so, for each hour the second hand moves 21600°.

that means 21600/360 = 60 full rotations.

that means one rotation of the second hand is 1 minute.

so, the second hand is truly a second hand (counting the seconds).

60 seconds in a minute (a full rotation by the second hand), that means each second corresponds to 360/60 = 6° rotation of the second hand.

[tex]the \ ratio \ is\ \frac{30}{21600} = \frac{3}{2160} = \frac{1}{720}[/tex]

that means for every degree the hour hand moves, the second hand does 2 full rotations (2×360°).

h = s×30/21600 = s/720

s = 720 h.

To learn more about Rotation, visit :

https://brainly.com/question/14979994

#SPJ1

The correct answer is A′(−3, −2), B′(5, −2), C′(1, 2). The coordinates of the original triangle ABC are (1, -2), (9, -2), and (5, 2). Therefore, the coordinates of the image are A′(−3, −2), B′(5, −2), C′(1, 2).

Coordinates are used to describe a point in space or on a map. They are usually written as two numbers, which represent the position of the point on an x-axis and a y-axis. Coordinates can be used in a variety of ways, such as to describe the location of a specific object or to identify the boundaries of an area.

Triangle ABC is an example of a transformation in which the shape is shifted without changing its size or orientation. When a shape is translated, it is moved from one place to another without changing its size or orientation. In this case, the triangle is being translated 4 units down.

To calculate the new coordinates of the triangle, we need to subtract 4 from the y-coordinate of each of the vertices. The original coordinates of the triangle are (1, −2), (9, −2), and (5, 2). After subtracting 4 from each of the y-coordinates, the new coordinates of the triangle are (1, −6), (9, −6), and (5, −2). This means that the new coordinates of the triangle are A′(−3, −2), B′(5, −2), and C′(1, 2).

For more questions related to triangle,

https://brainly.com/question/2773823

#SPJ1

The cοrrect answer is A′(−3, −2), B′(5, −2), C′(1, 2). The cοοrdinates οf the οriginal triangle ABC are (1, -2), (9, -2), and (5, 2). Therefοre, the cοοrdinates οf the image are A′(−3, −2), B′(5, −2), C′(1, 2).

Cοοrdinates are used tο describe a pοint in space οr οn a map. They are usually written as twο numbers, which represent the pοsitiοn οf the pοint οn an x-axis and a y-axis. Cοοrdinates can be used in a variety οf ways, such as tο describe the lοcatiοn οf a specific οbject οr tο identify the bοundaries οf an area.

Triangle ABC is an example οf a transfοrmatiοn in which the shape is shifted withοut changing its size οr οrientatiοn. When a shape is translated, it is mοved frοm οne place tο anοther withοut changing its size οr οrientatiοn. In this case, the triangle is being translated 4 units dοwn.

Tο calculate the new cοοrdinates οf the triangle, we need tο subtract 4 frοm the y-cοοrdinate οf each οf the vertices. The οriginal cοοrdinates οf the triangle are (1, −2), (9, −2), and (5, 2). After subtracting 4 frοm each οf the y-cοοrdinates, the new cοοrdinates οf the triangle are (1, −6), (9, −6), and (5, −2). This means that the new cοοrdinates οf the triangle are A′(−3, −2), B′(5, −2), and C′(1, 2).

For more questions related to triangle,

brainly.com/question/2773823

#SPJ1

The coordinates of the points on the number line are given as follows:

Point C is exactly halfway between 0 and 1, hence it's coordinate is given as follows:

C = 0.5.

C is also the third dot between 0 and 0.5, hence the amount represented by each space is given as follows:

0.5/3 = 1/6.

Point B is one space to the left of 0, hence it's coordinate is given as follows:

B = -1/6.

Point A is three spaces to the left of point B, hence it's coordinate is given as follows:

A = -1/6 - 3 x 1/6 = -4/6 = -2/3.

Point D is two spaces to the right of 1, hence:

D = 1 + 2x 1/6 = 1 + 1/3 = 4/3.

More can be learned about the number line at https://brainly.com/question/24644930

#SPJ1

The speed at which the water level is rising when the water is 20 cm deep is 0.04285 m/min

Using differentiation:

dV/dt = 0.3

find dh/dt

the width of the water level is dependent on the height

at height 0, width of 20

height 60, width of 80

when height increases by 1, width increases by 1

dh/dt = dw/dt

V = 0.5*(0.2 + (0.2+h))*h*10

V = 5*(0.4 + h)*h

V = 5h^2 + 2h

dV/dt = 5*2h(dh/dt) + 2(dh/dt)

when h = 0.5

0.1 = 5*2*0.5*(dh/dt) + 2(dh/dt)

0.1 = 5(dh/dt) + 2(dh/dt)

7(dh/dt) = 0.3

dh/dt = 0.04285 m/min

Read more about differentiations here:

https://brainly.com/question/25081524

#SPJ1

About 420 visitors might go to the food pantry on an extremely cold day

What is the percentage?

Percentage refers to a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%". For example, if 30 out of 100 students in a class are girls, the percentage of girls in the class is 30%. Percentages are commonly used in many fields, such as finance, statistics, and science, to express proportions, rates, and changes over time.

The problem states that on average, about 240 people visit the food pantry every day in search of groceries. To find out how many visitors might go to the food pantry on an extremely cold day, we need to use the given percentage increase.

The phrase "175% of the average amount" means that we need to find 175% of 240, which is the same as multiplying 240 by 1.75 (since 175% is the same as 1.75 as a decimal). Using the multiplication, we get:

175% of 240 = (175/100) * 240 = 420

So, on an extremely cold day, the number of visitors to the food pantry might be around 420.

Therefore, about 420 visitors might go to the food pantry on an extremely cold day.

To learn more about the percentages, visit:

https://brainly.com/question/24877689

#SPJ1

Using the variable b for the unknown number, we have the expression 7b + 29 ≤ - 26.

In algebra, a variable is a symbol (typically a letter) used to represent an unknowable numerical value in an equation. The variables x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are frequently used (arc length).

The sum of a number times 7 and 29 is at most -26 .

The inequality in the mathematical form will be written as below:-

7b + 29 ≤ -26.

Therefore, the inequality will be written as 7b + 29 ≤ - 26.

Learn more about variable

https://brainly.com/question/2466865

#SPJ1

Answer:

This type of study would be a comparative study, as it involves comparing the level of academic motivation between college students and their siblings.

Step-by-step explanation:

let's recall, the x,y pairs are just the cosine,sine pairs.

[tex]\stackrel{ \cos(315^o) ~~ \sin(315^o) }{\left( \cfrac{\sqrt{2}}{2}~~,~-\cfrac{\sqrt{2}}{2} \right)}\hspace{4.5em}\tan(315^o)\implies \cfrac{\sin(315^o)}{\cos(315^o)} \implies \cfrac{ ~~ -\cfrac{\sqrt{2}}{2} ~~ }{\cfrac{\sqrt{2}}{2}}\implies \text{\LARGE -1}[/tex]

Answer:

Rectangle pyramid

What is a rectangle pyramid ?

A rectangular pyramid is a pyramid, which has a rectangular-shaped base. If we look at the bottom view of this pyramid, it looks like a rectangle. Hence, the base has two parallel sides equal.

A pyramid crowns at a point on top of the base, which is known as the apex. A rectangular pyramid can be a right pyramid or oblique pyramid. If it is a right rectangular pyramid, then the apex lies right over the center of the base and if it is an oblique rectangular pyramid, the apex is not directly over the center of the base, but at some angle from the center.

Apart from the rectangular pyramid, there are other types of pyramids based on the shape of their bases, such as:

1) Triangular Pyramid

2) Square Pyramid

3) Pentagonal Pyramid

4) Hexagonal Pyramid

To know more about rectangular pyramid:

Rectangular Pyramid (Definition & Formulas) (byjus.com)

#SPJ1

The median value is 26.5, the first quartile is 24, the third quartile is 35.5, and the highest value is 38. The lowest value is thus 20.

We can plot the data on a number line to determine the data's least value, first quartile, median, third quartile, and greatest value:

20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\s| | | |

The leftmost number on the number line and the lowest value is 20.

We can split the data into four equal sections to determine the quartiles. The data's middle value is known as the median. We choose the average of the two middle values because there are an even number of data points. The midpoint is:

(26 + 27)/2 = 26.5 is the median.

We calculate the median of the lower half of the data to determine the first quartile:

(23 + 25)/2 = 24 for the first quartile.

We determine the median of the upper half of the data to determine the third quartile:

Third quartile: (34.5) ((34 + 37)/2)

The rightmost number on the number line, 38, has the highest value.

Learn more about mean median mode here:

https://brainly.com/question/4001516

#SPJ1