Write an equation that represents the perimeter of the rectangle. The width of a rectangle is 9 less than one-third it's width, when the perimeter is 45.

Answers

Answer 1

Answer:

The equation that represents the perimeter of the rectangle is:

[tex]\text{Perimeter} = \frac{2}{3} \times [4l-27][/tex]

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

Perimeter = 2 × [l + w]

It is provided that the width of a rectangle is 9 less than one-third it's length.

That is:

[tex]w = \frac{1}{3}l-9[/tex]

The perimeter is given as 45.

The equation that represents the perimeter of the rectangle is:

[tex]\text{Perimeter} = 2 \times [l + \frac{1}{3}l-9]\\\\\text{Perimeter} = 2 \times [\frac{3l+l-27}{3}]\\\\\text{Perimeter} = 2 \times [\frac{4l-27}{3}]\\\\\text{Perimeter} = \frac{2}{3} \times [4l-27][/tex]

Thus, the equation that represents the perimeter of the rectangle is:

[tex]\text{Perimeter} = \frac{2}{3} \times [4l-27][/tex]


Related Questions

Question 1
34 pts
Identify the type of data that would be used to describe a response for the question, "What is your
favorite movie?"
O quantitative discrete
O quantitative continuous
O qualitative
Question 2
33 pts

Answers

Answer: C) Qualitative

The response isn't a numeric value, but rather a name instead. So that's why we have qualitative data here. Specifically, it is nomimal as it deals with names or labels. The data is not ordinal as we cannot sort the labels.

What is the equation in point-slope form of the line passing through (0, 2) and (1,5)?

Answers

The equation of the line passing through the points (0,0) and (1,5) is y = 5x. Answer ‼️
yes that’s correct what the person below me said

). How many dots do you see from the figure below? (Find patterns, don’t just count).




Answers

Answer:

where is the figure or picture

i need a figure or a picture

The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,750 per day. FSF supplies hot dogs to local restaurants at a steady rate of 270 per day. The cost to prepare the equipment for producing hot dogs is $67. Annual holding costs are 47 cents per hot dog. The factory operates 297 days a year. Find
A) The optimal run size.
B) The number of runs per year.
C) The length (in days) of a run.

Answers

Answer:

A) 22812 hotdogs per run

B) 75 runs/yr

C) 4 days in a run

Step-by-step explanation:

We are given;

Production rate;p = 5750 per day

Steady Usage rate;u = 270 per day

Setup cost of hotdog;S = $67

Annual carrying cost (H) = 47 cents = $0.47 per hot dog

No. of Production days; d = 297 days

A) Let's first find the annual demand given by the formula;

Annual demand;D = pd

D = 5750 × 297

D = 1707750 hot dogs/yr

Now, formula for optimal run size is given by;

Q_o = √[(2DS/H) × (p/(p - u))]

Plugging in the relevant values gives;

Q_o = √[(2 × 1707750 × 67/0.47) × (5750/(5650 - 270))]

Q_o =√520375454.7971209

Q_o = 22812 hotdogs per run

B) formula for Number of runs per year is given as;

No. of Runs = D/Q₀

Thus;

no. of runs = 1707750/22812

no. of runs ≈ 75 runs/yr

C) Length of a run is given by the formula;

Length = Q₀/p

Length = 22812/5750

Length ≈ 4 days in a run

there are 16 circles and 20 squares. What is the simplest ratio of circles to total shapes

Answers

Answer:

4 : 9

Step-by-step explanation:

Step 1: Find total amount of shapes

16 circles + 20 squares = 36 total shapes

Step 2: Write out ratio of circles to total shapes

16 : 36

Step 3: Simplify by dividing both numbers by 4

16/4 : 36/4

4 : 9

Find the area of the triangle.
16 in.
25 in.
The area is
square inches.

Answers

Answer:

A=200 in

Step-by-step explanation:

[tex]A=\frac{1}{2} (bh)\\A=\frac{1}{2} (16*25)\\ A=\frac{1}{2} (400)\\ A= 200 in[/tex]

Yeshabbashsjshxbdhdjdjdjfj

Is how old are you? a statistical question

Answers

Answer:

Hey!

NO IT IS NOT A STATISTICAL QUESTION!

Step-by-step explanation:

This is because you are including ONLY YOU...this wont work as statistics take data from a COLLECTION of people or things!

So a better question will be :

HOW OLD ARE THE PEOPLE IN MY NEIGHBORHOOD?

(averages)

HOPE THIS HELPS!!

somebody plz help this is algebra ll I need help fast plz anyone?

Answers

Answer:

the answer is A.

Step-by-step explanation:

You decide to hike up a mountain. You climb steadily for 2 hours, then take a 30 minute break for lunch. Then you continue to climb, faster than before. When you make it to the summit, you enjoy the view for an hour. Finally, you decide to climb down the mountain, but stop halfway down for a short break. Then you continue down at a slower pace than before. Is the graph discrete or continuous?

Answers

Answer:

The graph is continuous.

Step-by-step explanation:

A continuous graph is depicted with straight smooth lines and not plot points as in a scatter graph.  On the other hand, discrete graphs represent values at specific points along the number line. The most common discrete graphs are those that represent sequences and series. Since, these discrete graphs do not possess a smooth continuous line, they rather have plot points above consecutive integer values, unlike some continuous line graphs.

16. Write the equation of line that contains
the points (1, 2) and (3, 0).

Answers

Answer:

y=-1x+3

I honestly have no idea how I would explain this. Apologies.

Answer:

[see below]

Step-by-step explanation:

Finding Slope:

m = [tex]\frac{rise}{run}=\frac{0-2}{3-1}=\frac{-2}{2}=-1[/tex]

Using the slope and a point to make a point slope equation:

[tex]y-y_1=m(x-x_1)[/tex]

m = -1  (x,y) = (1,2)

Plug values:

[tex]y-2=-1(x-1)[/tex]

Convert the equation into slope-intercept:

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

Hope this helps.

PLEASE HELP ME!!! AWARDING BRAINLIEST!!! MATHEMATICS

Answers

6x-6

Step-by-step explanation:

add both equations together, then multiply that by 2

2*(2x+3+x-6)

Answer:

6x and -6

Step-by-step explanation:

2x+3 * 2 4x+6

x-6 * 2 = 2x-12

4x+6 + 2x-12 = 6x and -6 inches

16-2v+3 what is the answer pls help

Answers

Answer:

the answer is 19-2v combine like terms if not that then try this....

19-2y=0

-2y=-19

Then divide by -2

y=-19/-2

=9.5

What is half of 30?????

Answers

Half of 30 is 15. You can obtain this by dividing it by 2 or multiplying it by 1/2.

15!

30/2 = 15

Good luck!

1800 people attended the National Day dinner in a certain constituency Given that 35.5 of them were. men, 40 % of them were women and the rest were children, find the number of children who attended the dinner​

Answers

children

25.5 %

so 25.5% of 100

495

If 20% of x is y, and 30% of y is z, then what percent of x is z?

Answers

Your answer is 6% of x.

We can write the given information as equations to find the answer:

Another way to write "20% of x" is to write 0.2x, so therefore 0.2x = y

You can also write "30% of y" as 0.3y, so 0.3y = z

Now we can substitute in the first equation to the second equation, as we know what y equals in terms of x:

0.3(0.2x) = z

Multiplying out we get:

0.06x = z, and 0.06 as a percentage is 6%

I hope this helps!

The diameter of a sphere is measured to be 4.17 in.
(a) Find the radius of the sphere in centimeters.
cm

(b) Find the surface area of the sphere in square centimeters.
cm2

(c) Find the volume of the sphere in cubic centimeters.
cm3​

Answers

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

a).

We can find the radius using the formula

[tex]radius = \frac{diameter}{2} [/tex]

From the question

diameter = 10.59 cm

So we have

[tex]radius = \frac{10.59}{2} [/tex]

radius = 5.30 cm

b).

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

Surface area = 353 cm²

c).

Volume of a sphere is given by

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

r = 5.30

The volume of the sphere is

[tex] \frac{4}{3} ( {5.30})^{3} \pi[/tex]

= 623.61451

We have the answer as

Volume = 623.6 cm³

Hope this helps you

Erin is considering joining one of 2 swim clubs. The Gators Swim Club has no registration fee, but charges $105 per month. The Tidal Wave Swim Club charges members $80 per month plus a one-time registration fee of $375. For how many months is Gators the cheaper option? Use system of equations and define variables

Answers

Answer:

14 months

Step-by-step explanation:

Given

Gator's = $105 monthly charges

Tidal Wave = $375 registration fee + $80 monthly charged

Required

Determine for how many months Gators is cheaper

Let the number of months be x;

Represent the given data, algebraically.

For Gators: 105x

For Tidal Wave: 375 + 80x

Represent the above as a n inequality

Since Gators has to be cheaper; we have

[tex]105x < 375 + 80x[/tex]

Collect Like Terms

[tex]105x - 80x < 375[/tex]

[tex]25x < 375[/tex]

Divide both sides by 25

[tex]x < 15[/tex]

This implies that Gator's will be cheaper for months less than 15

Hence, the number of months is 14

In this figure Ab and cd are parallel.

Answers

Answer:

figure is not available...

Find the midpoint of PQ. SEE
17. P(3, 5), Q(-2, 13)
18. P(-2, 2.5), Q(1.4, 4)
19. P(4 1/3, 3 1/6), 0(-2 1/5, 3 2/3)

Answers

Answer:

17. (1.5,9);

18.(-0.3,3.25)

19.(1.06,3.41)

The required midpoints are  Mx(1/2, 9), My (-0.3, 3.25), and  Mz(1 1/5, 3 1/4).

What is the midpoint?

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,

The midpoint between two coordinates (x, y) and (a, b) can be given as M(s, t)
s = x +a /2 ; t = y + b / 2

MIdpoints
For P(3, 5), Q(-2, 13)
s = 3 - 2 / 2 ; t = 5 + 13 /2
s = 1 / 2 ; t = 9
Midpoint  Mx(1/2, 9)


For  P(-2, 2.5), Q(1.4, 4)
s = -2 + 1.4 / 2 ; t = 2.5 + 4 / 2
s = -0.3 ; t = 3.25

Midpoint My (-0.3, 3.25)

For P(4 1/3, 3 1/6), Q (-2 1/5, 3 2/3)

s = (4 1 / 3  - 2 1/5 ) / 2  ; t = (3 1/6 + 3 2/3) / 2
s = 1 1/15        : t = 3 1/4
Midpoints Mz(1 1/5, 3 1/4)

Thus, the required midpoints are  Mx(1/2, 9), My (-0.3, 3.25) and  Mz(1 1/5, 3 1/4).

Learn more about midpoints here:
https://brainly.com/question/28224145
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Use the given conditions to write an equation in slope-intercept form. slope = 7, passing through (1,-3) My suggestion is to first write in point-slope form then rearrange equation into slope-intercept form

Answers

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y + 3 = 7x - 7

y = 7x - 10

A rectangle has a perimeter of 60 inches. The length of the rectangle is 3 inches less than twice the width
What is the length of the rectangle?

Answers

Answer:

length = 19 units

Step-by-step explanation:

width = x

length = 2x-3

width = 11 units

length = 2(11)-3

length = 22-3

length = 19 units

perimeter = 11 + 11 + 19 + 19 = 60 units

The perimeter of a shape is the sum of the side lengths of the shape. The length of the rectangle is 19 units.

Given that:

[tex]Perimeter = 60[/tex]

[tex]Length = 2 \times Width -3[/tex]

The perimeter of a rectangle is:

[tex]Perimeter = 2 \times (Length + Width)[/tex]

So, we have:

[tex]60= 2 \times (2\times Width - 3+ Width)[/tex]

Divide both sides by 2

[tex]30= 2\times Width - 3+ Width[/tex]

Collect like terms

[tex]3 + 30= 2\times Width + Width[/tex]

[tex]33= 3Width[/tex]

Divide both sides by 3

[tex]11= Width[/tex]

Rewrite as:

[tex]Width = 11[/tex]

Recall that: [tex]Length = 2 \times Width -3[/tex]

[tex]Length = 2 \times 11 - 3[/tex]

[tex]Length = 22- 3[/tex]

[tex]Length = 19[/tex]

Hence, the length of the rectangle is 19 units.

Read more about perimeters at:

https://brainly.com/question/6465134

Which of the following statements is true about a distribution that appears to have a gap when displayed as a histogram? The distribution must have an outlier. The distribution must have an outlier. A The distribution has a region between two data values where no data were observed. The distribution has a region between two data values where no data were observed. B The distribution is approximately normal. The distribution is approximately normal. C The distribution cannot be symmetric. The distribution cannot be symmetric. D The distribution must be bimodal. The distribution must be bimodal. E

Answers

Answer:

Option B is correct - The distribution has a region between two data values where no data were observed.

Step-by-step explanation:

To answer this question, i would use a sample histogram to explain the gaps in a histogram.

For example, a histogram has been attached.

The histogram has been plot to show the average height of children of different ages in a particular year.

From the attached image, we can see that all the bars represent average height of different ages.

Now, if one of the bars was to be empty which in this case means that the value there is zero and there is a gap. Since the bar is to represent average height of a particular age, it means that there was no data collected for that age as height cannot be zero!

This same reason applies generally to gaps in histogram which means that no data was collected for that particular bar region.

Thus, Option B is correct - The distribution has a region between two data values where no data were observed.

- x+4=-3x + 8
multi-step equations

Answers

Answer:

x = 2

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

& is the order of operation.

------------------------------------------------------------------------------------------------------

First, add 3x and  subtract 4 from both sides:

-x (+3x) + 4 (-4) = -3x (+3x) + 8 (-4)

-x + 3x = 8 - 4

Simplify. Combine like terms:

3x - x = 8 - 4

2x = 4

Isolate the variable, x. Divide 2 from both sides:

(2x)/2 = (4)/2

x = 4/2

x = 2

x = 2 is your answer.

~

Step-by-step explanation:

this is answer

[tex] - x + 3x = - 4 + 8 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2x = 2x = 2[/tex]

Solve the two-step equation.
- 2/3 x - 21/4 = 27/4

Answers

Answer:

x = -18

I hope this helps!

Answer:

X- (-18)

Step-by-step explanation:

Hope this helps:)

Explain the difference between congruence and equality. Use an example. GIVING BRAINLIEST!!!!!!!!

Answers

Answer:

Congruence is a relationship of shapes and sizes, such as segments, triangles, geometrical figures, while equality is a relationship of sizes, such as lengths, widths, heights.

Congruence deals with objects while equality deals with numbers. You wont say that two shapes are equal or two numbers are congruent.

Step-by-step explanation:

Find the measures of angles 1-10

Answers

Answer:

1) 78

2) 28

3) 74

4) 28

5) 74

6) 106

7) 74

8) 74

9) 78

10) 78

How would 5,608,912,013 be written in word form?

Answers

Answer:

Five billion, six-hundred and eight million, nine-hundred and twelve thousand, and thirteen.

Hope this helps!

find the product of 7 and 4.76

Answers

Multiply from right to left:

Step 1: multiply 6*7 and get 42. Carry the 4 left.

Step 2; multiply 7*7 to get 49. Add the 4 and get 53. Carry the 5 left.

Step 3: multiple 4*7 to get 28. Add 5 and get 33.

Step 4: move the decimal point 2 times to the left.

4.76

*7

_______

33.32

PLEASE HELP ASAP


You are studying meteorology and collect weather data for Gainesville, FL for the months of April, May, and June 2015. The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015. Evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation. T ( 57 ) =____________

Answers

Answer:

90.5

Step-by-step explanation:

T(57)=.18(57)+80.25

T(57)=10.26+80.25

T(57)=90.51   (round to the one descimal place)

your answer would be

T(57)=90.5

The temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Given,

The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015.

We need to evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation.

What is a function?

A function has an input and an output.

Example:

f(x) = x + 5

x = 1

f(1) = 1 + 5 = 6

1 = input

6 = output

Find T(x) at t = 57.

We have,

T(x) = 0.18 x + 80.25

T(57) = 0.18 x 57 + 80.25

T(57) = 10.26 + 80.25

T(57) = 90.51

Rounding to one decimal place.

90.51 = 90.5

T(57) = 90.5

T(57) = 90.5 means that the temperature for 57 days from April 1 2015 is 90.5

Thus the temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Learn more about finding temperature differences at different points of time here:

https://brainly.com/question/17864807?referrer=searchResults

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50pts.
A problem states: "There are 2 more horses than cows in a field. There are 16 animals in the field in all. How many horses are there in the field?" Let c represent the number of cows. Which equation represents the situation?

c + 2 = 16

2c−2=16

2(c+2)=16

2c + 2 = 16

Answers

Answer:

2c + 2 = 16

Hope this helps :)

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