A scale drawing of a rectangular park had a scale of 1 cm = 110 m.
8.6 cm
5-7 cm-
What is the actual area of the park in meters squared?

The two possible amounts of change are 3 x £1 + 1 x 50p + 1 x 10p and 3 x £1 + 1 x 20p + 1 x 10p + 1 x 5p, which simplify to £3.60 and £3.25 respectively.

What is combination ?

Combination refers to the number of ways a selection of items can be made from a larger set of items without regard to their arrangement. In other words, combinations are a way to calculate the total number of possible groups of items that can be formed, regardless of the order in which the items are selected. The formula for calculating the number of combinations is nCr, where n is the total number of items and r is the number of items being selected.

According to the question:
Let's start by finding the possible prices of the pie. Since the price must be an exact number of pence, we can convert the price range to pence by multiplying each value by 100:

£1.30 = 130 pence

£2.99 = 299 pence

We know that the price plus the 24% tip must be an exact number of pence. If we let x be the price of the pie in pence, then we can write this as:

x + 0.24x = 1.24x

Since 1.24 is not divisible by 5 (which we'll need for the change), we need to find two values of x that differ by a multiple of 5. One way to do this is to start with the lower bound and add multiples of 5 until we get a valid value:

x = 130: 1.24x = 161.2

x = 135: 1.24x = 167.4

x = 140: 1.24x = 173.6 (valid)

x = 145: 1.24x = 179.8

x = 150: 1.24x = 186.0 (valid)

x = 155: 1.24x = 192.2

x = 160: 1.24x = 198.4

So the possible prices of the pie are 140p and 150p. To find the possible amounts of change, we need to subtract each price from 500p (the value of the £5 note) and express the result as a combination of coins. For example:

Price = 140p, change = 360p = 3 x £1 + 1 x 50p + 1 x 10p

Price = 150p, change = 350p = 3 x £1 + 1 x 20p + 1 x 10p + 1 x 5p

Therefore, the two possible amounts of change are 3 x £1 + 1 x 50p + 1 x 10p and 3 x £1 + 1 x 20p + 1 x 10p + 1 x 5p, which simplify to £3.60 and £3.25 respectively.

To know more about combination visit:

https://brainly.com/question/19692242

#SPJ1

Answer:

Parts of the expression:

b: a variable representing a quantity that can vary or change.

12: a constant representing a fixed value.

r: a variable representing a quantity that can vary or change.

Word expression:

"Add twelve times the quantity of r to b."

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Answer:

To determine the flexible budget for the Cutting Department, we need to use the information provided to adjust the original budget for the actual level of production.

First, we need to calculate the variable cost per hour of production:

Variable cost per hour = Direct labor / Hours of production

Variable cost per hour = $37,260 / 4,140 hours

Variable cost per hour = $9

Next, we can use this variable cost per hour to calculate the flexible budget for the actual level of production:

Flexible budget = (Variable cost per hour x Actual hours of production) + Fixed costs

Flexible budget = ($9 x 4,500 hours) + $43,370

Flexible budget = $40,500 + $43,370

Flexible budget = $83,870

Therefore, the flexible budget for the Cutting Department, based on the actual level of production of 4,500 hours, is $83,870.

Answer:

divide the numbers and you'll get 1×10^5

Answer: It looks like it could be III I'm not sure thought I hope it was right

Step-by-step explanation:

In this the point (-2,3) on the graph of f multiplied by the corresponding point (-2,2) on the graph of g yields the product (-2,6), which is equal to -8.

A coordinate plane is a two-dimensional surface composed of two number lines, one horizontal (x-axis) and one vertical (y-axis). It is used to graph points, lines, and other shapes. Each point is identified by a pair of numbers which indicate its position along the x and y axes. The x and y axes intersect at the origin and divide the plane into four quadrants.

The graph of fg can be found by first graphing both f and g on the same coordinate plane. From there, the graph of fg can be found by taking each point on the graph of f and multiplying it by the corresponding point on the graph of g. In this example, the point (x,y) on the graph of f is multiplied by the corresponding point (x,y) on the graph of g to form a new point (x,yz). This new point is then placed on the graph of fg.

Using the graphs of f and g provided, we can determine that (fg)(-2) = -8. To find this, first locate the point (-2,3) on the graph of f. Then, locate the corresponding point (-2,2) on the graph of g. The product of these two points is (-2,6). This means that (fg)(-2) = -8.

In summary, to find (fg)(-2) using the graphs of f and g, first graph both f and g on the same coordinate plane. Then, take each point on the graph of f and multiply it by the corresponding point on the graph of g. In this example, the point (-2,3) on the graph of f multiplied by the corresponding point (-2,2) on the graph of g yields the product (-2,6), which is equal to -8.

To know more about coordinate plane, visit

brainly.com/question/13611766

#SPJ1

The set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)

A quadratic function is a type of function in mathematics that can be represented by a quadratic equation, which is a polynomial equation of the second degree. It is an equation, for example, y = ax2 + bx + c, where a, b, and c are constants and x is the variable, that involves a variable raised to the power of two.

The factored form of the quadratic function with zeros -5 and -13 is as follows:

f(x) = a(x + 5)(x + 13)

where a is a constant.

Substituting the given point (-9, -32) into the quadratic function, we get:

-32 = a(-9 + 5)(-9 + 13)

-32 = -16a

a = 2

So, the quadratic function in factored form is:

f(x) = 2(x + 5)(x + 13)

we need to find the range of values that satisfy this inequality:

y > a(x + 5)(x + 13)

Therefore, the set of values that is greater than the quadratic function with zeros -5 and -13 and includes the point (-9, -32) is: y > 2(x+5)(x+13)

To know more about function, visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

Look explain

Step-by-step explanation:

Give the following outcomes for each of the events with a set of 1,2,3,4,5,6,7,8:

Event A: The number can be 1,2,3 because it has to be less than 4

Event B: The number can be 2,4,6,8 because those are the only even numbers

Both Event A&B: The marble must be even and between 1,2,3 so only 2 is correct and must be marble #2

I hope this helps :)

Hence, in response to the provided question, we can say that Therefore equation there are 600 pupils in the seventh grade.

An algebraic equation is a method of connecting two quotes by using the equals symbol (=) to express equality. In algebra, an explanation is a definitive expression that verifies the equivalency of two formula. For example, the identical character divides the numbers 3x + 5 and 14. A linear equation might be used to recognize the connection that existing between the texts written on separate sides of a letter. The product and application both frequently the same. 2x - 4 equals 2, for example.

Let's call the total number of pupils in the seventh grade "x".

We know that the 12 students in the Environmental Club account for 2% of the seventh-grade students, which means:

12 = 0.02x

To find x, we must isolate it on one side of the equation. This can be accomplished by dividing both sides by 0.02:

12 ÷ 0.02 = x

This boils down to:

600 = x

Therefore there are 600 pupils in the seventh grade.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Best answer for the statement are Linear, Nonlinear.

A linear function is a type of mathematical function that has the following form:

f(x) = mx + b

where "m" and "b" are constants. "m" represents the slope of the line, or the rate at which the function changes .

Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".

Therefore, the best answer to complete the sentence is:

Linear functions have a constant rate of change and when graphed form a straight line. Nonlinear functions do not have a constant rate of change, can be graphed with one or more curves or a "v-shape".

to know more about slope, visit:

https://brainly.com/question/3605446

#SPJ1

The equation for the logarithmic function that passes through (0,0) and (-5,3) is given as follows:

y = log2(-x + 1)

First we must consider the vertical asymptote of the logarithmic equation, which is given as follows:

x = 1.

As the function is defined for the values to the left of the vertical asymptote, the function was reflected over the y-axis, hence:

y = logb(-x + 1) + d.

When x = -1, y = 1, hence we can have a logarithm of base 2 with a vertical shift of zero, hence:

y = log2(-x + 1)

Which is the logarithmic function for the function graphed in this problem.;

More can be learned about logarithmic functions at https://brainly.com/question/24160402

#SPJ1

[tex]\left[\begin{array}{ccc}Answr:\\=&=&=\\1&6&.\end{array}\right][/tex]

Step-by-step explanation & Answer

In order to find chau’s height we would only need to subtract:

40 - 24 = ?

? = 16

But it determines what you are putting it in as well.

You can put it in, feet, meters, or inches.

So I do not know but looking at the question it seems like I do not need to know. ( Saying thing because you might actually have the measurements but I do not know / I cannot see. )

Thus the answer to your problem is, 16

The width of the rectangle is x = 6 inches and the length of the rectangle is 13 inches.

The region contained inside the rectangle's perimeter is referred to as the area of the rectangle. In other terms, the area of a rectangle is the whole area that a rectangle encloses. Depending on the provided dimensions, this may be determined using the area of rectangle formula and a number of other techniques.

Let us suppose the width = x.

Then, length is given as:

l = x + 7

The area of the rectangle is:

A = lw

Substituting the values:

A = (x + 7)x

The perimeter of the rectangle is:

P = 2(l + w)

P = 2(x + 7 + x)

P = 2(2x + 7)

P = 4x + 14

Also, we have:

A = 2P

Substituting the values of area and perimeter:

4x + 14 = (x + 7)x

Simplifying the expression:

x^2 + 7x = 8x + 30

x^2 - x - 30 = 0

(x-6)(x+5) = 0

Since, width cannot be negative value we have:

x = 6.

l = 7 + 6 = 13 inches.

Hence, the width of the rectangle is x = 6 inches and the length of the rectangle is 13 inches.

Learn more about area here:

https://brainly.com/question/28062041

#SPJ1

It is also important to communicate effectively with any individuals involved in the procedure to ensure that everyone is on the same page and working towards the same goal.

The procedure can refer to a variety of things depending on the context. If you are referring to a medical procedure, it is important to first consult with a healthcare professional to determine the specific procedure that is needed.

If you are referring to a legal or administrative procedure, it is important to review the guidelines and protocols set forth by the governing body or organization.

In general, the procedure typically involves a set of steps or instructions that must be followed in order to achieve a specific outcome. These steps may include gathering information, completing forms, submitting documents, or performing specific tasks.

It is important to carefully follow each step of the procedure to ensure that the desired outcome is achieved.

If you need a procedure completed by 12pm today, it is important to prioritize your tasks and ensure that you have all necessary resources and information available. Depending on the specific procedure, you may need to work quickly and efficiently in order to meet the deadline.

To learn more about : procedure

https://brainly.com/question/25907410

#SPJ11

After answering the presented question, we can conclude that As a rectangle result, the wall's length is approximately 18.67 metres.

In Euclidean geometry, a rectangle is a parallelogram with four small angles. It can also be described as a fundamental rule hexagon or one in which all of the angles are equal. Another option for the parallelogram is a straight angle. Four of the vertices in a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.

To begin, we can use the formula for the area of a rectangle, which is:

length x width Equals area

We know the wall's area is 39.2 m2, and we want to know how long it is. We are also given the wall's breadth, which is 2.1 m.

As a result, we can rearrange the formula to find the length:

width = Area length

length = 39.2 2.1 cm

a length of 18.67

As a result, the wall's length is approximately 18.67 metres.

To know more about rectangle visit:

https://brainly.com/question/29123947

#SPJ9

The sum of the infinite geometric series is: ²/₅

The formula for the sum of an infinite geometric series is;

[tex]S_{\infty} = \frac{a}{1 - r}[/tex]

where;

a is first term

r is common ratio

The first term is; a = ⁴/₁₅

Common ratio; r = ⁴/₉ ÷ ⁴/₁₅ = ⁵/₃

r = ²⁰/₂₇  ÷  ⁴/₉ = ⁵/₃

Thus;

[tex]S_{\infty}[/tex] = ⁴/₁₅ ÷ (⁵/₃ - 1)

[tex]S_{\infty}[/tex] = ⁴/₁₅ ÷ ²/₃

= ²/₅

Read more about sum of infinite geometric series at; https://brainly.com/question/26255015

#SPJ1

Answer:

How to find the sum of the infinite geometric series?The formula for the sum of an infinite geometric series is;S_∞ = a/(1 - r)where;a is first termr is common ratioThe first term is; a = 4/15Common ratio; r = (4/9)/(4/15) = 5/3r = (20/27)/(4/9)  = 5/3Thus;S_∞ = (4/15)/((5/3) - 1)S_∞ = (4/15)/(2/3) = 2/5

Answer: y = 4/3x -3

Step-by-step explanation:

Using the information shown on the auger shell. The value of x is found as 16.

Fractions and ratios can both be stated as reciprocals of one another. Similar rules apply to proportions, which are just the equivalence of two ratios.

For the given values in question:

8.8 mm

11 mm

20 mm

Value of x.

Using proportion of the numbers:

8.8 / 11 = x / 20

x = 8.8*20 / 11

x = 16

Thus, using the information shown on the auger shell.  The value of x is found as 16.

know more about the proportion of the numbers

https://brainly.com/question/870035

#SPJ1

The (x, y) is translated tο (x-1, y-6).

Resizing an οbject is accοmplished thrοugh a change called dilatiοn. The οbjects can be enlarged οr shrunk via dilatiοn. A shape identical tο the sοurce image is created by this transfοrmatiοn. The size οf the fοrm dοes, hοwever, differ. A dilatatiοn οught tο either extend οr cοntract the οriginal fοrm. The scale factοr is a phrase used tο describe this transitiοn.

The scale factοr is defined as the difference in size between the new and οld images. An established lοcatiοn in the plane is the center οf dilatatiοn. The dilatiοn transfοrmatiοn is determined by the scale factοr and the centre οf dilatiοn.

the cοmpοsitiοn οf

(x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)

(x, y) --> (x-5, y-5)

(x+4-5, y-1-5) = (x-1, y-6)

Therefοre, the cοmpοsitiοn οf (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5) is (x, y) --> (x-1, y-6).

In οther wοrds, the translatiοn rule fοr the cοmpοsitiοn is:

Hence, The (x, y) is translated tο (x-1, y-6).

Learn more about dilation, by the following link

https://brainly.com/question/29811168

#SPJ1

Answer:

(x, y) --> (x-1, y-6)

Step-by-step explanation:

Answer:

Where is the expression bro

Answer: 9·9 -36 +4.

Step-by-step explanation: 9x² -12x +4 for x=3. 9·3² -12·3 +4 = 9·9 -36 +4.

As a result, the probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.

Probabilistic theory is a branch of mathematics that evaluates the probability of a certain occurrence or proposition occurring or being true. A danger is a number in the range between 0 and 1, whereas 1 signifies certainty and a probability of around 0 reflects how likely an event seems to be to occur. Probability seems to be a mathematical function for the likelihood or likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1 or as percentages ranging from 0% to 100%. In relation to all other outcomes, the ratio of occurrences between equally as likely possibilities that result in a specific event.

The probability of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is as follows:

As a result, the odds of selecting a jack from the remaining cards are 4/51.

The product of these probabilities is the likelihood of selecting a 7 and a jack in sequence:

P(7) = P(7) x P(jack|7 not picked) = 4/52 x 4/51

When we simplify this expression, we get:

P(Jack and 7) = 16/2652

As a result, the likelihood of selecting a 7 and a jack from a regular deck of cards, one at a time and without replacement, is about 0.006 or 0.6%.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

b-y=55

Answer:

154%

Step-by-step explanation:

First, we need to calculate the increase in size of the privately owned farm:

increase = new value - old value

increase = 432 - 170

increase = 262

Next, we can use the formula to calculate the percent increase:

percent increase = (262 / 170) x 100%

percent increase = 1.54 x 100%

percent increase = 154%

Therefore, the percent increase in the size of privately owned farms in the country is 154%.

Answer:

The percentage rate of change of a function f(t) is given by:

(Δf / f) x 100

where Δf is the change in f and f is the original value of the function.

To find the largest value of t such that the percentage rate of change equals 100, we need to find the value of t for which:

(Δf / f) x 100 = 100

Simplifying, we get:

Δf / f = 1

This means that the change in f is equal to the original value of f.

So, we need to solve the equation:

f(t + Δt) - f(t) = f(t)

where Δt is the change in t.

Substituting the given function, we get:

[1 - 2(t + Δt) + 4(t + Δt)^2] - [1 - 2t + 4t^2] = 1 - 2t + 4t^2

Simplifying, we get:

-8tΔt + 8Δt^2 = 1

Since we are interested in the largest value of t, we can assume that Δt is a small positive number, such that Δt << t.

Ignoring the term Δt^2, we get:

-8tΔt = 1

Solving for Δt, we get:

Δt = -1 / (8t)

Substituting this value of Δt back into the equation -8tΔt + 8Δt^2 = 1, we get:

-8t(-1 / (8t)) + 8(-1 / (8t))^2 = 1

Simplifying, we get:

1 / t^2 = 1

Solving for t, we get:

t = 1

Therefore, the largest value of t such that the percentage rate of change equals 100 is t = 1.

According to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]

An equation is a mathematical statement that shows the equality between two expressions. In other words, it is a way to describe a relationship between two or more variables or quantities.

The center of the ellipse is (-1,-5), which means that the center of the ellipse is shifted from the origin. We can find the equation of the ellipse using the standard form equation:

[tex]$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$[/tex]

where (h,k) is the center of the ellipse, and a and b are the lengths of the semi-major and semi-minor axes, respectively.

Since the minor axis has length 2, we know that b=1. We also know that the vertex on the minor axis is (5,-5), which means that the semi-major axis has length 5. Therefore, a=5.

Substituting these values into the standard form equation, we get:

Simplifying, we get:

[tex]$\frac{(x+1)^2}{25}+(y+5)^2=1$[/tex]

Therefore, according to the given conditions, the equation of the ellipse is [tex]{\frac{(x+1)^2}{25}+(y+5)^2=1}$.[/tex]

To know more about equations visit :

https://brainly.com/question/22688504

#SPJ1

In response to the question, we may say that  205 adults and 130 kids equation respectively attended the concert, for a total of 205 adults and 130 kids.

The equals symbol (=), which indicates equivalence, connects two statements in a mathematical equation. An algebraic equation's mathematical assertion proves the equality of two mathematical propositions. The equal sign, for instance, places a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. Use a mathematical formula to understand how the two sentences on opposite sides of a letter relate to one another. Usually, the logo corresponds to the particular programmed. An example would be 2x - 4 = 2.

Assume that "x" represents the proportion of adults who attended the performance and "y" represents the proportion of children.

The problem statement informs us that:

x + y = 335 —-(1) (1) (There are 335 persons present in all.)

The total amount of money gathered is $675 (2.5x + 1.25y).

1.25x + 1.25y = 418.75 —-(3) (3)

2.5x - 1.25x = 675 - 418.75

1.25x = 256.25

x = 205

205 + y = 335

y = 130

205 adults and 130 kids respectively attended the concert, for a total of 205 adults and 130 kids.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

See below.

Step-by-step explanation:

For this problem, we are asked to find x, the hypotenuse.

There are a few ways to find the hypotenuse, but an easy way is to use the Pythagorean Theorem.

Represented as;

[tex]a^2 + b^2 = c^2\\(Short \ Leg)^2 + (Long \ Leg)^2 = (Hypotenuse)^2.[/tex]

We have 2 given values, the short leg and the long leg. We can begin solving for the hypotenuse.

Substitute:

[tex]40^2+42^2=c^2[/tex]

[tex]3364 = c^2[/tex]

Square Root the Equation:

[tex]\sqrt{3364} = \sqrt{c^2}[/tex]

[tex]c = 58.[/tex]

The Hypotenuse is 58. Our final answer is Letter D.

The image after the reflection over the line x = 2 is (11, -3)

Here we have the point T which has coordinates (-7,  -3), and we apply a refletion across the line x = 2.

This reflection will only chane the value of x in our point, such that the initial value x = -7

Is at the same distance of the line x = 2 than the final x-value

The distance between these values is:

d = |-7 - 2| = 9

Then the new x-value will be:

x = 2 + 9 = 11

Thus, the image after the reflection is (11, -3)

Learn more about reflections at:

https://brainly.com/question/4289712

#SPJ1