The length of a rectangular floor is two ft more than its width. If the area of the floor is 63 ft, find the length and the width of the floor.​

Answers

Answer 1

Answer:

width = 7 and length = 9

Step-by-step explanation:

Let's assume width = w, and length = 2 + w

So area of a rectangle = width * length

63 ft² = w (2 + w)

63 = 2w + w²

w² + 2w - 63 = 0

Use the quadratic formula to solve this

here, a = 1, b = 2 and c = -63

w = 7 or -9

The dimensions of a rectangle cannot be negative. So we take the dimension, w = 7.

Width = 7 and Length = 7+2 = 9

The Length Of A Rectangular Floor Is Two Ft More Than Its Width. If The Area Of The Floor Is 63 Ft, Find

Related Questions

What is the slope of the line containing the points (-2, 1) and (4, -3)?

Answers

Step-by-step explanation:

the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.

so, when going from (-2, 1) to (4, -3)

x changes by +6 (from -2 to 4).

y changes by -4 (from 1 to -3).

therefore, the slope is

-4/+6 = -4/6 = -2/3

You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in., how many bricks will you need

Answers

You plan to construct a brick wall measuring 14.5 ft. in length, 5.5 ft. high, and 0.5 ft. in width. If a brick measures 6 in. x 4 in. x 2 in. you will need 3,240 bricks.

What is the volume of the cuboid?

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

We have given that

Dimensions of a brick wall is given by

Length = 14.5 feet

Width = 0.5 feet

Height = 5.5 feet

Dimensions of a brick is given by

Length = 6 inch

Width = 4 inch

Height = 2 inch

First of all, we will convert the dimensions of a wall from feet into inches.

1 feet = 12 inch

15 feet = 12*15 inch = 180 inch

6 feet = 12*6 inch = 72 inch

We know that volume of a brick wall will be equal to the volume of 'n' bricks, so we can set an equation;

The volume of a brick wall = the volume of 'n' bricks

180 x 72 x 12 = n x 6 x 4 x 2

155520 = n x 48

n = 3240

Therefore, you will need 3,240 bricks.

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I don't know what the answer is

Answers

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9\\ s=9.7 \end{cases}\implies 9.7=\cfrac{\theta \pi (9)}{180}\implies 9.7=\cfrac{\theta \pi }{20} \\\\\\ 194=\theta \pi \implies \cfrac{194}{\pi }=\theta \implies 62\approx \theta[/tex]

The annual commissions per salesperson employed by a retailer of mobile communication devices are normally distributed, and averaged $40,000, with a standard deviation of $5,000. what percent of the salespersons earn between $32,000 and $42,000?

Answers

Using the normal distribution, it is found that 60.06% of the salespersons earn between $32,000 and $42,000.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 40000, \sigma = 5000[/tex]

The proportion of salespersons that earn between $32,000 and $42,000 is the p-value of Z when X = 42000 subtracted by the p-value of Z when X = 32000, hence:

X = 42000:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{42000 - 40000}{5000}[/tex]

Z = 0.4

Z = 0.4 has a p-value of 0.6554.

X = 32000:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32000 - 40000}{5000}[/tex]

Z = -1.6

Z = -1.6 has a p-value of 0.0548.

0.6554 - 0.0548 = 0.6006 = 60.06%.

60.06% of the salespersons earn between $32,000 and $42,000.

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Answer: 60.06% of the salespersons earn between $32,000 and $42,000.

The coordinates of triangle EFG are E(28, 24), F(24, 27), and G(0, 24).
a. What is the perimeter of triangle EFG? Round to the nearest tenth
b. Is the triangle equilateral, isosceles, or
scalene?

Answers

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

Answer:

  a.  57.2

  b.  scalene

Step-by-step explanation:

The lengths of the sides can be found from the coordinates of the vertices using the distance formula. The perimeter of the triangle is the sum of the side lengths.

__

a.

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

sides

The length of EF is ...

  d = √((24 -28)² +(27 -24)²) = √(16 +9) = √25 = 5

The length of FG is ...

  d = √((0 -24)² +(24 -27)²) = √(576 +9) = √585 ≈ 24.2

The points E and G lie on the same horizontal line, so the distance between them is the difference of their x-coordinates:

  d = 28 -0 = 28 . . . . length of EG

perimeter

The perimeter is the sum of side lengths:

  P = EF +FG +GE

  P = 5 +24.2 +28 = 57.2

The perimeter of the figure is about 57.2 units.

__

b.

The three sides have three different lengths. This makes the triangle a scalene triangle.

The polygon has six sides. find the length of each side of the polygon

Answers

Answer:

question is incomplete,there must be something else too

Step-by-step explanation:

i hope this help you and have a great day

How do you write 84 in scientific notation?

Answers

Answer:

8.4 x 10

Step-by-step explanation:

Scientific notation

Answer:

8.4 x 10^1

You do not have to use the 1st power that is just the official way of writing it  :)

Step-by-step explanation:

scientific notations

Sally is older than Jenny. The sum of their ages is 45 and the difference is 9. Find the ages of Sally
and Jenny

Answers

Answer:

Sally is 27

Jenny is 18

Step-by-step explanation:

using algebra:

x+(x-9)= 45

x+x-9

2x-9=45

2x-9+9=45+9

2x=54

54÷2=27

Sally = 27

27-9 = 18

Jenny = 18

This should be it!

hope this helps :)

please help me on this my moms really mad at me

A spinner is divided into 8 identical sectors and labeled 1 through 8.

How many spins are expected for a multiple of 3 to be spun 6 times?

The spinner is expected to have to spin approximately ______ times for a multiple of 3 to be spun 6 times.

Question 8 options:

12


16


24


48

Answers

Answer:

The answer is 12

Step-by-step explanation:

1-8(6)

The multiples of 3 would be 3 and 6.

3 and 6 are found 12 times within those 6 spins

For one spin

Sample space ={1,2,..,8}

So

|S|=8

Elements which are multiple of 3

3,6

So

Total probability

2/8=1/4

Now

For 6 spins

Total time spins as multiple of 3

2(6)=12 times

4
Which symbol makes this statement true?
18 - 3 x 6 4 = 4
A X
B
C
+ 1
D +

Answers

Answer:

18-3×6+4=0

18-18+4=0

0+4=4

it is completely right(+) is the correct symbol

please help. please i beg.

Answers

Answer:

Step-by-step explanation:

Don't make life difficult with decimals. First multiply both sides with 10 to get rid of decimals.

10 (3x^2 + 2.5x) = 10 (12.5)

30x^2+ 25x = 125 (now rearrange to write in quadratic form)

30x^2 + 25 x - 125 = 0 (now we know a = 30, b= 25, c = -125)

Final answer x = 5/3 , -5/2

Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours.

Answers

A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,

y = mx +c

9 = -0.5(0) + c

c = 9

Now, the equation that can represent the height of the candle at any hour after it is lit will be,

y= -0.5x+9

substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.

y=-0.5(1)+9 = 8.5 inches  ⇒ (1,8.5)y=-0.5(2)+9 = 8 inches  ⇒ (1,8)y=-0.5(3)+9 = 7.5 inches  ⇒ (1,7.5)y=-0.5(4)+9 = 7 inches  ⇒ (1,7)y=-0.5(5)+9 = 6.5 inches  ⇒ (1,6.5)y=-0.5(6)+9 = 6 inches  ⇒ (1,6)

Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).

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Kevin has 17 trading cards. Billy has more trading cards than Kevin. Choose the expression that shows how many trading cards Billy has.
A. t
B. t+17
C.17-t
D.t-17

Answers

Answer:

t + 17

Step-by-step explanation:

it’s this because, t + 17 = more than what Kevin has t = 17 I’m assuming which is why it’s B. Or t + 17.

classify 24 as a polynomial by degree and number of terms

PLEASE PLEASE I NEED THIS

Answers

the number changes by the degree so you need to multiply it.

What is the inverse of y = x2 + 16

Answers

y=x2-16
I’m not sure if I’m right or not

Answer:

[tex] {y}^{ - 1} = \sqrt{x - 16} [/tex]

Step-by-step explanation:

To find the inverse of this function, we make "x" the subject of the equation .[tex]y = {x}^{2} + 16 \\ {x}^{2} = y - 16 \\ x = \sqrt{y - 16} [/tex]then we interchange "y" and "x" .[tex]hence \: the \: inverse \: is \\ {y}^{ - 1} = \sqrt{x - 16} [/tex]

A faucet is leaking at a rate of 0.8 gallon per hour. Can you write a rule to find the volume of water that will leak in 3 hours.

Answers

x=3 y=0.8(x) this is your answer

Х
23.4 x 13.9
0.18
pls help

Answers

Answer: 1610

Step-by-Step Explanation:

Lets round off each number,
=> 23.4 to 23
=> 13.9 to 14
=> 0.18 to 0.2

Therefore,
= 23 * 14 / 0.2
= 322 / 0.2
= 1610

The answers for the given multiplications are 100 and 2000

What is a significant figure?

Significant figures are the digits of a number that are meaningful in terms of accuracy or precision.

Given that, two numbers, we need to simplify them and then round them to 1 significant figure.

1) 8.2×6.7/0.46 = 119.4347

Rounding to 1 significant figure, = 100

2) 23.4×13.9/0.18 = 1807

Rounding to 1 significant figure, = 2000

Hence, The answers for the given multiplications are 100 and 2000

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find the length of YZ

Answers

Answer: 11.42

Step-by-step explanation: Pythagorean Theorem

Answer:

11.42

Step-by-step explanation:

3,4,5 and 8,3,sqrt(55)

around 11.42

Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:

Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95

Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

please help ASAP. dont put wrong answers. people who have flvs and got a 100 on this pleasezanswer

Answers

The patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.

What is erosion?

It should be noted that erosion simply means the washing away of the top soil.

In this case, the patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.

The years when the beaches have approximately the same width will be between 11 and 12 years.

Assuming these rates remain constant, to get a better approximation of when the two beaches will have the same width, one can plot the data against time and draw a curve that goes through the data.

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The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:

A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 35 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 55.

Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)

Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)

Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)

Answers

The information that provided by the graph are median and the range. The information that cannot be gotten from the graph is the mode.

The interquartile range is 25.

The outlier would distort the value of the median and mean.

How can a box plot be interpreted?

The information that can be derived from the box plot are the minimum value, maximum value, range, median, first quartile and third quartile.

The interquartile range is the difference between the first quartile and third quartile.

Interquartile range = 60 - 35  = 25

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Answer:

PART A: You cannot find the mode from the box plot. However, you can find the mean, median, and the range along with outliers.

PART B: 60-35=25 This is the interquartile range.

PART C: The outliers will cause the mean into increase.

Step-by-step explanation:

Which table represents a linear function?

Please help I have to take my final


Answers

Answer:

#3

Step-by-step explanation:

You can tell if a table is linear, if the slope is constant within the graph. #3 is the only option that has a constant slope. In the others, if you pick different points from that same table the slope changes. That is how you know that is not a linear function.

A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 3. Thus, the correct option is 3.

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form

y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, gives a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the third table, the slope between the first two points is,

[tex]m = \dfrac{(- 10 + 2)}{(2 - 1)}[/tex]

[tex]m = - 8[/tex]

The slope between the last two points is,

[tex]m = \dfrac{(- 18 + 10)}{(2 - 1)}[/tex]

[tex]m = - 8[/tex]

Hence, the table that represents a linear function is Table 3. Thus, the correct option is 3.

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Answer plsss my cousin need it!:(​

Answers

Answer:

Step-by-step explanation:

For a graph, put the bottom(x) with the teachers and the side(y) with the number of students. Maybe that kind of helps?  You can choose how you want to space out the numbers on the side

Step-by-step explanation:

a pie chart is a circle with differently sized pizza slices designating how many or how much in every category in relation to the whole (the full circle).

a full circle = 360°.

the listed teachers together have obviously 200 students.

that means 200 is the whole, and correlates to 360° (everything takes the whole circle).

20 students for Michelle means then 20 of 200 :

20/200 = 1/10 = 360/10 = 36°

38 students for Rose Grace.

38/200 = 19/100 = 19×360/100 = 0.19 × 360 = 68.4°

28 students for Melanie.

28/200 = 7/50 = 7×360/50 = 7×36/5 = 50.4°

36 students for Joy.

36/200 = 9/50 = 9×360/50 = 9×36/5 = 64.8°

42 students for Josephine.

42/200 = 21/100 = 21×360/100 = 21×36/10 = 75.6°

36 students for Daisy.

36/200 = 9/50 = 9×360/50 = 9×36/5 = 64.8°

you need to draw a circle with the sectors having the listed degrees. of course, you round to the nearest full degree.

if done right, these sectors fill the whole circle.

What is an equation of the line that passes through the points (-5, -1) and
(5, -3)?

Answers

The answer is

[tex]y = - \frac{1}{5} x - 1.2[/tex]

or you can replace -1/5 with -0.2

follow the procedures in the attachment please.

Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
What is the probability that the hens lay more than two eggs?
0.07
0.12
0.88
0.95

Answers

The probability that the hens lay more than two eggs is 0.80

How to determine the probability?

The probability that the hens lay more than two eggs is calculated using:

P(x > 2) = P(3) + P(4) + P(5) + P(6)

Using the data on the table, we have:

P(x > 2) = 0.12 +  0.30 + 0.2 +, 0.18.

Evaluate the sum

P(x > 2) = 0.80

Hence, the probability that the hens lay more than two eggs is 0.80

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Answer:

C. 0.88

Step-by-step explanation:

you just add all the probabilities for more than 2 eggs

0.12 + 0.30 + 0.28 + 0.18 = 0.88

On a platter of chicken wings there are mild wings and hot wings. in a representative sample of 5 chicken wings , there are 3 mild wings . if the platter has 90 chicken wings , estimate the number of mild wings on the platter

Answers

Ratio of mild wings to hot wings

=3:2

3+2=5

mild wings = 90/5×3

=54

hot wings =90/5×2

=36

A square has a side length of 7 ft. Find the area of the square in feet.

Answers

Answer:

49 ft²

Step-by-step explanation:

The sides of a square are all the same. This means if one of the sides is 7 ft then the others will be too.

To work out the area you have to times two of the sides together.

7x7=49

The table shows the rainfall in four towns on the same day.
Town
Morristown 3 9/16
Brighton 3 5/16
Pine Grove 3 13/24
Springfield 3 8/12

Which town had more rain, Brighton or Springfield? Morristown or Pine Grove?

Answers

Answer:

Springfield trust me it is the only one that makes sense

anyone knows the answer?! ​

Answers

Answer:

x = 3

Step-by-step explanation:

the axis of symmetry is a vertical line passing throught the vertex with equation

x = c ( where c is the value of the x- coordinate of the vertex )

vertex has coordinates (3, - 1 ) with x- coordinate 3 , then

equation of axis of symmetry is x = 3

Answer:

Your Answer is D. x = 3

Step-by-step explanation:

The axis of symmetry is x = 3.

I have copied your graph to appear to be this equation.

y = 2 * (x-3)^2 - 1

pls help asap first correct answer gets brainleist ​

Answers

Answer:

72 m^2

Step-by-step explanation:

0.5 x 9 x 16 = 72

hope this helps

have a good day

The Brittle Bird Store prepares bird-seed blends by mixing sunflower seeds and millet and packaging them in 5-pound bags for sale. Sunflower seed (s) is regularly sold for $1.75 per pound, and millet (m) is sold for $2.50 per pound. The mixture is sold for $11.60.
How many pounds of sunflower seed does the mixture contain?


3.8 pounds
3 point 8 pounds

1.2 pounds
1 point 2 pounds

2.9 pounds
2 point 9 pounds

2.1 pounds

Answers

Answer:

Hai! saya dari Indonesia! salam kenal yaa ^^ oh ya maaf tidak bisa menjawab pertanyaan kamu ^^

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