The length of a rectangle is three more than twice it’s width. The perimeter of the rectangle is 246 cm. Write an equation to find the perimeter and then find the length of the rectangle.

Answers

Answer 1

Answer:

83 cm

Step-by-step explanation:

Let the length of the rectangle be L cm and the width be W cm.

L= 2W +3 -----(1)

Perimeter of rectangle= 2(length) +2(width)

2L +2W= 246 -----(2)

Substitute (1) into (2):

2(2W +3) +2W= 246

Expand:

4W +6 +2W= 246

Simplify:

6W +6= 246

Divide both sides by 6:

W +1= 41

W= 41 -1

W= 40

∴ width of the rectangle is 40cm.

Substitute value of W into (1):

L= 2(40).+3

L= 80 +3

L= 83

Thus, the length of the rectangle is 83 cm.


Related Questions

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:  c

Step-by-step explanation:

and then when you add all of the given measurements you will have the distance from clear lake to the end of her hike

find the slope with the given numbers​

Answers

Answer:

[tex]m=-\frac{1}{26}[/tex]

Step-by-step explanation:

Formula:

[tex]Slope:m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

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

Work:

[tex]m=\frac{-15-(-16)}{-7-19}\\\\m=-\frac{1}{26}[/tex]

PLEASE HELP ME
The table shows the outputs, y, for different inputs, x:

Input (x) 1 2 3 4
Output (y) 5 5 7 9

Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Part B: Compare the data in the table with the relation f(x) = 2x − 8. Which relation has a greater value when x = 4? (2 points)

Part C: Using the relation in Part B, what is the value of x if f(x) = 34? (5 points)

(10 points)

Answers

Answer:

See below

Step-by-step explanation:

Part AAccording to definition of the function, the data in the table is a function. Each input value has own output and no repeat inputs.Part BAt x = 4, y = 9 (table)At x = 4, f(4) = 2*4 - 8 = 8 - 8 = 0

The relation in the table has greater value as 9 > 0

Part C

f(x) = 34, find x:

34 = 2x - 82x = 34 + 82x = 42x = 21

10 points and a brainliest…plz answer

Answers

Answer:

Identify the numerical terms in the following expression

a) x-y+7

b)-18-5 x^2+2y^2.

Step-by-step explanation:

Finally......

Just kidding Im just here to wasting your time

A woman places a laser pointer on the ground and shines it at the top of a lamp post. She then
stands between the laser and the lamp post so the laser just barely touches the top of her head.
The woman, the lamppost, the laser, and the ground combine to form two similar right triangles.
She is standing 2.4 meters away from the lamppost and 2.1 meters from the laser. If the woman
is 1.8 meters tall, how tall is the lamppost?

Answers

B you need b b is the hey to everyone 2x2 6x6

Question 7 of 10
A compensation package is
A. health, life, and disability insurance
B. a gym membership paid for by the employer
C. a combination of wage or salary and other types of compensation
D. a combination of retirement and insurance
SUBMIT

Answers

Answer:

C. a combination of wage or salary other types of compensation

Step-by-step explanation:

A compensation package is synopsis/summary of all the ways a company can pay its employees. It can be indirectly or directly.

Cantaloupes are four for $9, how many can you buy for $25?

Answers

You can buy 2

Explanation
25$/9$=2.8 but you can’t buy .78 of a cantaloupe

Free poi.nts but if you can figure this out:
We wish to send a message of size 150,000 bytes over the network. There are four hops, each of length 20 km and running at 100 Mb/s. However, before sending we split the message into 1500 byte packets. What is the end-to-end delay of the message? Use speed of light in copper c=2∗108 m/s, and round your answer to the nearest integer millisecond. (doubt ya'll will) - will give brainliest if you do

Answers

Answer:

hiiii how r u

Step-by-step explanation:

brainiest pleasee

Consider the sequence shown

Then describe the pattern

Answers

Well it looks like the sequence is that each shape is going up by 2 sides each time.

hi can anybody help thx!

What is the volume of air in a lab of dimensions 8 mx 5 m x 3 m?

What is the mass of the air? (Density of air = 1.3 kg/m3)

Answers

Answer:

Volume of air = 120 m³

Mass of air = 156 kg

Step-by-step explanation:

Volume of air in a lab of dimensions,

= 8 x 5 x 3

= 120 m³

Mass of the air ?

Given : Density of air = 1.3 kg/m³

Formula : -

Density = Mass / Volume

Mass = Density x Volume

= 1.3 x 120

Mass = 156 kg

erome has an app that tracks his running times and distances. He records his distances and times in a table.
Time (secs) Distance (mi)
3
14.4
6
28.8
9
43.2
12
57.6
What is Jerome's speed in distance compared to time?
Enter only a number in the space provided. Do not enter words in the box.

Answers

Answer:

IM SMART

Step-by-step explanation:

Solve for the variables shown in the steps simplifying the expression below:
2^5·8^4/16=2^5·(2^a)^4/2^4=2^5·2^b/2^4=2^c.

Answers

Answer:

a=3, b=12, c=13

Step-by-step explanation:

What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?

Answers

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

JK has endpoints (-2, 10) and K(10, -14). Point L divides JK into two parts with lengths in a
ratio of 5:1.
What are the two possible locations of L?
(5, 6)
(2, -4)
(8, -10)
(4, -2)
(2, 1)
(0,6)

Answers

Answer:

(8, - 10) or (0, 6)

Step-by-step explanation:

There are two options as below.

1. JL/JK = 5 : 1

Find the coordinates of L:

x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10

The point is L(8, - 10)

2. JL/JK = 1 : 5

Find the coordinates of L:

x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0y = 10 + 1/6(-14 - 10) = 10 - 4 = 6

The point is L(0, 6)

John has 4 milligrams of copper and 0.76 milligram of lead.
How much more copper does he have than lead?
A
3.24 milligrams
B 32.4 milligrams
C 4.76 milligrams

Answers

Answer:

A 3.24 milligrams

Step-by-step explanation:

4 milligrams of copper - 0.76 milligrams of lead = 3.24 milligrams.

brainliest please. . . .

I NEED HELP ON THIS QUICKLY

Answers

Answer:

B) Alternate Exterior Angles

Step-by-step explanation:

They are exterior (on the outside of the the lines) and they are alternate (opposite left and right).

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are outside angles that lies to the opposite side.

Help look at the photo
Will mark the brainlest

Answers

Answer:

1. 6

2. 8

3. 10

4. 12

5. 14

Step-by-step explanation:

just solve

What is the equation of the line that passes through points (-3, 0.5) and (3, -0.5)?
Group of answer choices
=−6
y
=

6
x

=−16
y
=

1
6
x



=−6−17.5
y
=

6
x

17.5



=−16+1

Answers

Answer:

Remember that the slope is the change in y/the change in x

Step-by-step explanation:

1. The slope  [tex]\frac{-0.5- 0.5}{3 - (-3)}[/tex]

                  = [tex]\frac{-1}{6}[/tex]

2.  Find "b" which is the y-intercept.  Pick one of the two point and the slope.

     Let use (-3, 0.5) and the slope is -1/6

      y = mx + b

      0.5 = -1/6 (-3) + b                      Solve for b

       3 = 3 + b                                   Multiply each term by 6

       0 = B

3. Write the equation of the line  y = mx + b

                                                       y = -1/6x + 0

       

How far will An object fall in 11s?
Please help me

Answers

Answer:

The object should fall around 593 meters with no air resistance.

Step-by-step explanation:

Find the measure of the angles (S)

Please help out:/

Answers

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180°

so 180 - (5x - 2) = the another one interior angle

180 - 5x + 2

182 - 5x

and then 2x + 76 + (182 - 5x) = 180

2x + 76 + 182 - 5x = 180

258 - 3x = 180

78 = 3x

x = 26

so 2x = (26)(2) = 52

5x - 2 = (5)(26) - 2 = 128

please give me a brainliest answer

factor:3x²-xy-4y²
pls help)):​​

Answers

Step-by-step explanation:

plz mark me as brainliest

Solution:

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

Answer:(3x-4y)(x+y) or (x+y)(3x-4y)

Hope it helps

ray4918 here to help

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (-2,3), (5, 5)
There isn't any graph example but I need help!!! i will award 10 brainiest

Answers

Answer:

Slope: 2/7

Step-by-step explanation:

y2 - y1/ x2 - x1 = 2/7

Given the points:

(x1, y1) = (-2, 3)
(x2, y2) = (5, 5)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)
m = (5 - 3)/(5 - (-2))
m = 2/(5 + 2) = 2/7

Therefore, the slope of the line is 2/7.

To graph a line, plot both of the given points and draw a line connecting those points.

Attached is the screenshot of the graph, using both points.

Please help me and others that will stumble on this problem.


Which lists all of the y-intercepts of the continuous function in the table?


(0, 0)

(–1, 0), (2, 0)

(–1, 0), (0, 0)

(–1, 0), (0, 0), (2, 0)

Answers

Answer:

A (0,0)

Step-by-step explanation:

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Option A is correct.

Carla and Ben earn commission every time they sell soemthing. Carla sold 3 suits and 1 pair of shoes, and earned 47$ in commission. Ben sold 7 suits and 2 pairs of shoes, and earned 107$ in commision. how much commission do they get from selling suits, and how much do they get from selling shoes

Answers

Answer:

$13

Step-by-step explanation:

Please tell me if i'm wrong.

If a value in the _______ occurs more than once, then the relation is NOT a function.
Fill in the blank

Answers

Answer: Domain

Step-by-step explanation:

The definition of a function is " a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." (Mathinsight)

Therefore is a number (x values) appears more than once in the domain then this would not be a function since it doesn't fit the definition of a function.

Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2

A. -49
B. -7
C. 11
D. 59

Answers

The answer: It’s A- -49
:)
49 a and if you need anything help text me I will always help

Edward buys a bicycle online for 254.75$ if shipping and handling are an additional 24% of the price how much shipping and handiling will Edward pay

Answers

Answer:

315.89

Step-by-step explanation

you get the answer my multiplying 254.75 by .24 (24%) and you should get 61.14, or $61.14 for shipping, or $315.89. hope this helped

7 pls pls pls help meeee!

Answers

It's 90° because Z has to be 45

Help pls and show your work!

Answers

1. Turn 1 1/3 into an improper fraction.
2. Now you have 4/3 + 5/6.
3. The LCD of 3 and 6 is 6. Convert 4/3 into 8/6. We multiplied 4/3 by 2 to get the denominator of 6.
4. 8/5 + 5/6 = 13/6

A farmer owns a total of 8 acres of land. The land is separated into (3)1/3 equally sized sections. How many acres are in each section?
Write your answer as a mixed number in simplest form.

Answers

Answer:

each section is 2 2/3 or 2.66666666

Step-by-step explanation:

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