Identify the graph of the system of linear inequalities.
x+y<1
5x + y > 4

Answers

Answer 1

The graph of the system has been attached below. The solution has been obtained by using linear inequality.

What is linear inequality?

If the equals relation were used in its place, a linear inequality would produce a linear equation.

We are given two inequalities as x+y < 1 and 5x + y > 4

For plotting the points, we need to find x and y

1. x+y < 1

So, let y be 0, then

⇒x < 1

This gives us the point as (1,0).

Now, let x=0, then

⇒y < 1

This gives us the point as (0,1).

From these two points, the graph for the inequality is drawn and represented by red line.

2. 5x + y > 4

So, let y be -1, then

⇒5x > 5

⇒x > 1

This gives us the point as (1,-1).

Now, let x=0, then

⇒y > 4

This gives us the point as (0,4).

From these two points, the graph for the inequality is drawn and represented by green line.

Hence, the graph of the system of linear inequalities is obtained.

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Identify The Graph Of The System Of Linear Inequalities.x+y&lt;15x + Y &gt; 4

Related Questions

Element X is a radioactive isotope such that its mass decreases by 8% every year. If an experiment starts out with 600 grams of Element X, write a function to represent the mass of the sample after t years, where the monthly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per month, to the nearest hundredth of a percent.​

Answers

On solving the provided question we cans ay that  the half life of the given exponential growth  radioactive isotope will be 3.2894067399  years.

What is exponential growth?

The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.

Here, Element X starts with 490 grams

After 1 year we have  (490 X 0.81 grams) or 396.9 grams

Now, We can solve for half-life by this equation:

Half life = (time  X log 2) / log (beginning amount / ending amount)

Half-life = (1 year X 0.30102999566) / log (490 / 396.9)

Half life = (1 year X 0.30102999566) / log (1.2345679012 )

Half life = (0.30102999566) / 0.091514981109

Half-Life = 3.2894067399  years

Thus, the half life of the given exponential growth  radioactive isotope will be 3.2894067399  years.

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what type of statistical learning do all data examples in problem 1 correspond to - supervised or unsupervised?

Answers

It is possible to design any statistical learning problem to minimize predicted loss. All data examples in problem 1 correspond to supervised learning.

What is supervised learning?

The use of labelled datasets distinguishes the machine learning strategy known as supervised learning. These datasets are intended to "supervise" or "train" algorithms to correctly classify data or forecast outcomes. Labeled inputs and outputs allow the model to monitor its precision and improve over time.

When using data mining, supervised learning may be divided into two categories: classification and regression.

Using an algorithm, classification issues correctly categories test data into distinct groups, such as distinguishing apples from oranges.

Another supervised learning technique that employs an algorithm to comprehend the link between dependent and independent variables is regression.

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Correct question:

What type of statistical learning do all data examples supervised or unsupervised?

in the given figure ab cd and p q. find the measure of x y and z

Answers

The measures of x, y and z are 40⁰, 90⁰ and 50⁰

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

We know that co-interior angles are supplementary.

∠APQ+∠CPQ=180⁰

x+∠CPQ=180⁰

x+140⁰=180⁰

x=40⁰

∠BPR+∠PRD=180⁰

z+130⁰=180⁰

z=50⁰

Now, angles x, y and z form a line, hence they sum up to 180∘.

x+y+z=180⁰

40⁰+y+50⁰=180⁰

y=90⁰

Hence, the measures of x, y and z are 40⁰, 90⁰ and 50⁰

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The question is not complete, similar kind of question is given below.

In the given figure, AB || CD. Find the measure of x, y and z.

I WILL GIVE BRAINLEST

Answers

The value of the angle 4 is 96 degrees as shown in the diagram.

Application of line geometry

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.

Given the following angles

m<3 = 84 degrees

Since the measure of <3 and <4 lies on the same straight line, hence:

m<3 + m<4 = 180

84 + m<4 = 180

m<4 = 180 - 84

m<4 = 96 degrees

Hence the measure of angle 4 from the figure is 96 degrees

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Is. AXYZ a right triangle? (Picture included)

Answers

Answer: yes

Step-by-step explanation:

7^2+24^2 = 625

[tex]\sqrt{625}[/tex] = 25

Guys no one answers this :(

A circle is inscribed in quadrilateral ABCD. If AB = 4, BC = 5, and CD = 8,
what is DA?

Answers

Step-by-step explanation:

the distance from a vertex of the quadrilateral to the touching points on the two sides emanating from the vertex is the same.

and that applies to each of the 4 vertices.

so, AB splits into the distance a (from A to the circle touching point on AB) and b (from the touching point on AB to B).

b = AB - a

in the same way, BC splits into b (B to circle touching point on BC) = AB - a, and c (circle touching point on BC to C).

c = BC - (AB - a) = BC - AB + a

CD splits into c (C to circle touching point on CD) = BC - AB + a, and d (circle touching point on CD to D).

d = CD - (BC - AB + a) = CD - BC + AB - a

DA now splits into d (D to circle touching point on DA) = CD - BC + AB - a, and into ... a (the circle touching point on DA to A).

a = DA - (CD - BC + AB - a) = DA - CD + BC - AB + a

0 = DA - CD + BC - AB

DA = CD - BC + AB = 8 - 5 + 4 = 7

Work out the percentage change when a price of £50 is decreased to £40.
pls give simple working out :)

Answers

Answer: They took away 5%

Step-by-step explanation:

If you get 50 and the you have  40 you get 5%

what is s(t)=0.65(0.48)^t's percent rate of change.

Answers

The percent rate of change of s(t) is approximately -26.15%. This means that the function is decreasing at a rate of about 26.15% per unit of time.

The function s(t) = 0.65[tex](0.48)^t[/tex]represents a decreasing exponential function, where t is time and s(t) is the value of the function at time t.

To find the percent rate of change of s(t) at any given time t, we can use the formula:

percent rate of change = [(new value - old value)/old value] x 100%

In this case, the "old value" is s(t) and the "new value" is s(t+1), or the value of the function one unit of time later.

So, the percent rate of change of s(t) is:

percent rate of change = [(s(t+1) - s(t))/s(t)] x 100%

We can substitute the given function into this formula:

percent rate of change = [(0.65[tex](0.48)^(t+1)[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex]x 100%

Simplifying, we get:

percent rate of change = [(0.48(0.65)[tex](0.48)^t[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex] x 100%

percent rate of change = [-0.17/0.65] x 100%

percent rate of change = -26.15%

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4/7 of the girls the chicken nuggets,whereas 40% of the boys like the chicken nuggets.How many total students like chicken nuggets?What percents of the entire students body is this?

Answers

Total number of students that like chicken nuggets is 4/7 x G + 40/100 x B.

The percentage of entire student body that like chicken nuggets are (4/7 x G + 40/100 x B) / T x 100.

How to calculate totals and percentage?

Given that 4/7 of the girls like chicken nuggets, if there are G girls, then the number of girls who like chicken nuggets is 4/7 x G.

Given that 40% of the boys like chicken nuggets, if there are B boys, then the number of boys who like chicken nuggets is 40/100 x B.

The total number of students who like chicken nuggets is 4/7 x G + 40/100 x B.

To find the percentage of the entire student body that likes chicken nuggets, divide the number of students who like chicken nuggets by the total number of students, and multiply by 100.

Let's say there are T total students.

The percentage of the entire student body that likes chicken nuggets is (4/7 x G + 40/100 x B) / T x 100.

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Please work on paper and help me do this

Answers

It should be noted that the addition of 1.17+ √63 will give an irrational number.

How to convey the information

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so forth.

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.

In this case, the answer is irrational, as the square root of 63 is not a rational number and cannot be expressed as a fraction of two integers.

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Maths question attached​

Answers

(a) The scale factor from shape A to shape B is 3/4.

(b) The value of w is 21/4 cm.

What is sale factor?

A scale factor is the ratio of the new object to a given original object.

For example,

The size of original object is A.The size of new object is B.They have the similar shape.

The scale factor is A : B.

We have two similar trapezoid as shown in the picture.

Find (a) the scale factor from shape A to shape B, and (b) the value of w!

The scale factor from shape A to shape B can be determined by analyzing one of the side length. We can take the longest side of the trapezoid.

Scale factor = 9/12 = 3/4

The value of w side is correspond to 7. So,

w/7 = 3/4

w = 3/4 × 7

w = 21/4 cm

Hence, the scale factor is 3/4 and the value of w is 21/4 cm.

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write the weight of caribou cows in kilograms as a prime factorization

Answers

Answer: Female caribou have a wide range of weight. They can average anywhere from 51 (3 x 17) to 156 (2 x 2 x 3 x 13) kg.

Step-by-step explanation:

Rephrasing a question I had because people keep misunderstanding it
write the equation 8-2x= 3(y+1)^2 in x-h=a(y-k)^2 form

Answers

Step-by-step explanation:

[tex](8 - 2x) = 3(y + 1) {}^{2} [/tex]

If we factor out -2

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

[tex](x - 4) = - 1.5(y + 1) {}^{2} [/tex]

Disclaimer: this is a weird question because they would usually have you isolate the quadratic(the term being squared) but this is the answer is you're form you asked about

The vertex of this parabola is (4,-1)

Suppose you know that ∠S and ∠Y are complementary and that m∠S = 3(m∠Y) − 70°. Find m∠Y. (help pls)

Answers

The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.

What is the measure of angle Y?

As evident in the task content; ∠S and ∠Y are complementary.

Therefore; m∠S + m∠Y = 90°.

Also, since; m∠S = 3(m∠Y) − 70°.

By substitution;

3(m∠Y) − 70° + m∠Y = 90°

4m∠Y = 160°

m∠Y = 40°.

Ultimately, the measure of angle Y as required is; m∠Y = 40°.

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how many ways are there to arrange 7 elves and 5 goblins in a row in such a way that no goblins stand next to each other

Answers

There are 11,838,890 ways to arrange 7 elves and 5 goblins in a row without any goblins standing next to each other.

This can be calculated using the formula for combinations, n!/(r!(n-r)!), where n is the total number of elves and goblins (12) and r is the number of goblins (5). The calculation is written as 12!/(5!(12-5)!) = 11,838,890.

To illustrate, one possible arrangement is EE EG EEG EEG EGEE EG. Here, E stands for elf and G stands for a goblin. The arrangement starts with two elves, followed by an elf and a goblin, followed by three elves, followed by an elf and a goblin, followed by two elves, and finally ending with an elf.

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Helpppppppp please i would like to have some help so i don't have to do it later

Answers

Answer:

Math ba yan? Wala ba diyan example kung pano i solvee yan?

Step-by-step explanation:

11 cm

assuming all sides angles are right angles, opposing sides are equal in length or total length.

top bottom.

x = 5 +6 = 11

x = 11 cm

How to get smarter for a math test

Answers

Answer:

I would recommend taking practice quizzes online for the level of math you are taking to find what areas you understand well and what areas you are struggling in. From there, you can review that specific area of math and refine your knowledge. Taking practice quizzes repeatedly until you are confident both in the mathematics and the test taking itself(if you struggle with test taking in general) will help a lot.

Answer:

Step-by-step explanation:

Study Time: I suggest you study over a period of time and try to understand the topic. For example, try to include breaks to help yourself relax. DO NOT cram lots of math into your head on an overnight studying marathon. Many people try that, and unless you have a photographic memory, it does not help at all.

Topics: Try to study one topic at a time so the information does not get mixed up in your head. Try to remember things with variables.

Resources: Ask your teacher what topics the test will cover and how many questions will be on the test. You can find lots of worksheets online and review explanations to similar questions on websites.

Morning before the test: Sleep early and wake up early. Try to relax and eat a healthy breakfast.

I wish you luck on your test!

find the value of x , please show how you did it

Answers

The value of x from the given figure is 15°.

What is sum of exterior angles of polygon?

An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side. The sum of the measures of the exterior angles of a polygon is equal to 360 degrees, irrespective of the number of sides in the polygons.

In the given figure, we have 7x°, 83°, 33°, 6x° and 49°.

Now, 7x°+83°+33°+6x°+49°=360°

13x+165=360

13x=360-165

13x=195

x=195/13

x=15

Now, 6x=90° and 7x=105°

Therefore, the value of x is 15°.

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find the quotient. simplify your answer. 3b/4 divided by -c/6

Answers

The quotient of 3b/4 divided by -c/6 is -9b/2c

What are algebraic expressions?

Algebraic expressions are simply defined as those expressions that are made up of coefficients, variables, constants, terms and factors.

They are also seen as expressions that are composed of mathematical or arithmetic operations, such as;

SubtractionAdditionMultiplicationDivisionParenthesesBracketFloor division

From the information given, we have that;

3b/4 divided by -c/6

This is represented as;

3b/4 ÷ -c/6

Take the inverse of the divisor and multiply

3b/4 × 6/-c

18b/-4c

Divide the values

-9b/2c

Hence, the value is -9b/2c

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Simplify

Sin A(cos A + sin A tan A)

Answers

The equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).

What is meant by trigonometric identities?

Trigonometric Identities are equality conditions that apply to all values of the equation's variables and which require trigonometry functions. There are numerous unique trigonometric identities that involve both the side length and angle of a triangle.

Trigonometry equations known as trig identities are used frequently to solve trigonometry and geometry problems and comprehend a variety of mathematical facts. Understanding and remembering fundamental mathematical concepts and resolving a variety of math issues are made easier by having a solid understanding of key trig identities.

Let the equation be Sin A(cos A + sin A tan A)

Express with sin, cos

[tex]$=\frac{\left(\cos ^2(A)+\sin ^2(A)\right) \sin (A)}{\cos (A)}$$[/tex]

Rewrite using trig identities

= tan (A)

Therefore, the equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).

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2x power of 2 + 3x + 1,Gives the answer 2x power of 3 + x power of 2 - 2x +1

Answers

The answer 2x power of 2 + 3x + 1. Therefore, the answer of the equation is x = 2.

Equation:

An equation is a mathematical operator that contains two algebraic expressions on either side of an equals (=) sign. Shows the equivalence between the expression written on the left and the expression written on the right. Every equation in mathematics has L.H.S = R.H.S (left = right). We can solve an equation to find the value of an unknown variable that represents an unknown quantity. If an expression does not have an equal sign, it is not an equation. This is considered an expression.

Now,

It has been given that

[tex]\frac{2^{3x-1} +10}{7} = 6[/tex]

Cross multiplying, we get

[tex]2^{3x-1} +10 = 42[/tex]

Subtract 10 to both sides

[tex]2^{3x-1} = 32[/tex]

Write 32 in exponent form

[tex]2^{3x-1} = 2^{5}[/tex]

Since, base of both sides of the equation is 2. Hence, the exponent must be equal.

   3x - 1 = 5

⇒ 3x = 6

⇒ x = 2

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Rebecca, Meg, and Kristin drive together for their home to visit their grandparents. Kristen drives 65 miles. Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined, which gets them to their grandparents house. How far did Meg drive?

Answers

Meg has drive 390 miles to visit Grandma.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are Given Number of miles Kristen drive = 65 miles

Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined

This means Number of miles Meg drive is equal to twice the number of miles driven Kristin .

Then equation we get;

Number of miles Meg drive = 2 × Number of miles Kristin drive =

Number of Miles Driven by Rebecca is equal to twice the sum of Number of miles Kristin drive and Number of miles Meg drive.

Then equation we get;

Number of miles Meg drive = 2 × (Number of miles Susie drive + Number of miles Meg drive) =

Hence Meg has drive 390 miles to visit Grandma.

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given that the augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations. determine whether the system has a solution and find the solution(s) to the system, if they exist.

Answers

We have solution as:

z =z and y -8-z

The solution set is

x=9, y = -8-z, w = 1, z = z

Matrix:

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.

The augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

We find that this is a rectangular matrix 3 rows and 4 columns

i.e. the variables are four but independent equations are only 3.

So only parametric equations can be found out

First row gives x = -9

Last row gives w = 1

II row gives y + z =-8 and we do not have any other equation in y or z

Hence we have solution as:

z =z and y -8-z

The solution set is

x=9, y =-8-z, w =1, z=z

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The given question is incomplete, complete question is :

Given that the augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations. Determine whether the system has a solution and find the solution(s) to the system, if they exist.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

A) x=-9, y=-8, z=-8, w=1

B) No solution.

C) x=-9, y=-8, z=1

D) x=-9, y=-8+z, w=1, z=any real number

E) z=-9, y=-8-z, w=1, z=any real number

F) None of the above.

Matthew signed up for a streaming music service that costs $14 per moilth. The service allows Matthew to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1.50 per song. How much total money would Matthew have to pay in a month in which he downloaded 15 songs? How much would he have to pay if he downloaded s songs?

Answers

Answer:p-by-step explanation:

15 x$1.50 is $22.50 then add that to the monthly fee of $14.00 for a total of $36.50

Yes but you forgot the second answer, which would be $(14+1.5s)

I NEED HELP ON THIS ASAP!!

Answers

By using the x- and y-intercepts, a graph of the function modeling the total number of tickets sold is shown in the image attached below.

The domain and range of each function is {-∞, ∞}.

The meaning of the x-intercept is that the initial number of student tickets sold is 600 tickets.

The meaning of the y-intercept is that the initial number of adult tickets sold is 300 tickets.

The slope of the function is 0.5 and it represents the number of tickets sold per week.

You can use the graph to determine a combination of ticket sales to meet the goal of $3,000 by adding each ordered pair (s, a) or (x, y) together.

Felina's graph is correct because it has the same x-intercept and y-intercept with the original graph.

How to write an equation to model this situation?

In order to write a linear equation to describe this situation, we would a assign variable to the number of student tickets sold and the adult tickets sold respectively, and then translate the word problem into a linear equation as follows:

Let the variable s represent the number of student tickets sold.Let the variable a represent the number of adult tickets sold.

Since student are paying $5 while adults are paying $10 for a ticket and the athletic association need to raise $3000 by selling tickets, a linear equation that models the situation is given by:

5s + 10a = 3000

When s = 0, the value of a is given by:

5(0) + 10a = 3000

a = 300

When a = 0, the value of s is given by:

5a + 10s = 3000

s = 600

For the total number of tickets, we have this linear equation:

s + a = 450

In conclusion, we would use an online graphing calculator to plot the system of linear equations in order to determine the solution (point of intersection), which is at the ordered pair (300, 150).

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Complete Question:

The Marshall High School Athletic Association sells tickets for the weekly football games. Students pay $5 and adults pay $10 for a ticket. The athletic association needs to raise $3000 selling tickets to send the team to an out-of-town tournament.

1. Use x- and y-intercepts to graph the function modeling the total number of tickets sold on each coordinate plane.

2. Determine the domain and range of each function

Please help now I need help ASAP thank you!

Answers

Answer:

Top TUV

Bottom: UV, UT, TV

Step-by-step explanation:

The scale factor from the larger to the smaller is 3/4

24(3/4) = 18

12(3/4) = 9

16(3/4) = 12

what information do you need to be given to be able to use trig function to solve for a missing side length of a right triangle?

Answers

Sin = opp/hyp
Cos = adj/hyp
Tan = opp/adj

Let’s say we have an angle 50 and the hypotenuse length is 20cm, to find the opposite we could either use the sin or tan function. Let’s say we use the sin function.

Sin(50)=x/20
x=sin(50)*20
=15.32cm (2dp)

To get the echo of a positive integer, we write it twice in a row without a space. For example,
the echo of 2023 is 20232023. Is there a positive integer whose echo is a perfect square? If
so, how many such positive integers can you find? If not, explain why not.

Answers

Answer: Yes, but it's extremely hard to find

Step-by-step explanation:

The echo number 20222022202220222022 is the perfect square of 4496890281.

What echo number is a perfect square

An echo number has a perfect square if its square root is also a natural number. After some iterations we found that echo number 20222022202220222022 is a perfect square:

The echo number 20222022202220222022 is the perfect square of 4496890281.

I NEED HELP WITH THIS QUESTION ASAP PLEASE LOOK AT THE IMAGE ATTACHED

Answers

Answer: 250

Step-by-step explanation:

It says in the question that the first round was -350 but the second round she score 250 and the question wants to know how many points she scored in the second round with would be 250.

The diagram shows the floor plan of Jill's dining room.
Jill is going to cover the floor with wooden floorboards.
1.5m
Diagram NOT
accurately drown
The floorboards are sold in packs. One pack of floorboards will cover 2.25 m²
Work out how many packs Jill needs.
You must show all your working.

Answers

The number of pack Jill needs is 7.

How to find the number of packs Jill needs?

The diagram shows the floor plan of Jill's dining room. Jill is going to cover the floor with wooden floorboards. The floorboards are sold in packs. One pack of floorboards will cover 2.25 m². Therefore, the number of packs Jill needs can be calculated as follows;

Therefore, let's find the area of the floor.

area of the floor  = area of the first rectangle + area of the second rectangle

area of the first rectangle = 3 × 2

area of the first rectangle = 6 m²

area of the second rectangle = 4.5 × 2

area of the second rectangle = 9 m²

area of the floor  = 15 m²

Therefore,

2.25 m² = 1 pack

15 m² = ?

cross multiply

number of pack = 15 / 2.25

number of pack = 6.66666666667

Therefore,

number of pack ≈ 7

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find the coordinate of the image of the following [tex]d( - 5 [/tex] In 2-3 sentences, describe a situation in which self-fulfilling prophecy may occur with a student with a disability I Question 4 (1.5 points) Listen In 2-3 sentences, explain how systemic bias can affect curriculum and instruction. How can systemic bias affect students' achievement? What should teachers do to prevent bias in their classrooms ? The graph shows a figure and its image after a transformation how would you describe this as a rotation how many peptides would result if this peptide were treated with (1) cyanogen bromide, or (2) trypsin, or (3) chymotrypsin? if you dont feel well, you should ...... down The giant kangaroo rat is an endangered species native to California. Each decade, researchers at a nearby university estimate the giant kangaroo rat population in the San Joaquin Desert. The most recent estimate, conducted this year, concluded that there are about 73,000 giant kangaroo rats in the desert. The population is expected to decrease by a factor of 1 3 each decade. Write an exponential equation in the form y=a(b)x that can model the estimated population of giant kangaroo rats in the San Joaquin Desert, y, in x decades. g/16 = 16 step by step is it necessarily inequitable for future generations to face higher taxes as a result of benefits that accrue to those living today? Lamar drinks 8 fluid ounces of water with breakfast, 6 fluid ounces of water with his vitamins, 16 fluid ounces of water with his lunch, 16 fluid ounces of water with his dinner, and 32 fluid ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in fluid ounces that he drinks in a week. 14) Determine the base and height of the given parallelogram, and then find the area 3.14 LAB: HTML practiceDownload the ZIP file below containing an HTML and image file. The index.html file contains an tag for each question, 1-7. Eachquestion is followed by an tag. Implement the solution to each question between the and tags. Do not remove any existingtags in index.html. A rectangular vegetable garden will have a width that is 2 feet less than the length area of 48 square feet. If represents the length, then the length can be found by s equation:x(x - 2) = 48What is the length, x, of the garden?The length isfeet. A cork float a distance of 8. 75 meters down river after a period of 3. 5 hours what is the average speed? Help!! Please | Personal Finance |If you used money from your emergency fund, which is an appropriate next response?A) Repay your emergency fund by burrowing against credit cards.B) Continue with the savings plan as is, and your emergency fund will eventually return to its previous balance.C) Reduce casual spending and increase savings until your emergency fund has been paid back.D) Borrow the money from your friends to pay the emergency fund back. Round to 2 decimal places *1 pointAn architect is designing a building topped with a hemispherical dome. Shecreates a scale model of the building using a scale of 0. 25 inch : 1 foot. Inthe scale model, the diameter of the dome is 23. 75 inches. What will be the circumference, in feet, of the actual dome? for identical cannons and identical projectiles and identical initial speeds, maximum distance for a projectile is attained for the cannon which launches at the reason many of the major diseases of childhood, such as measles, whooping cough, and tuberculosis, are now fairly rare in western industrialized countries is because of Can someone please help me with this (just see if it is correct?) ender's game what stands out to you about peter's character? are there any good aspects to his character? When you push down on a block resting on a table, block atoms and table atoms that are in contact with one another.