The length of a rectangle is 4 times its width.
The perimeter is 36.
Find the length and width of the rectangle.

Answers

Answer 1

Answer:

Length=14.4

Width=3.6

Step-by-step explanation:

l=4w

2l+2w=36

2(4w)+2w=36

8w+2w=36

10w=36

w=3.6

l=4w

4(3.6)

l=14.4

*check by plugging in answers into 2l+2w=36*

Answer 2

Answer:

[tex]L=\frac{72}{5}[/tex]      or 14.4

[tex]W=\frac{18}{5}[/tex]     or 3.6

Step-by-step explanation:

Please take note this probably not the easiest way to do the problem.

Formula for the Perimeter of Rectangle

[tex]P=2L+2W[/tex]

We are given the perimter.

[tex]36=2L+2W[/tex]

[tex]L=4*W[/tex]

To solve I would use the Gauss-Jordan method. (it is advanced, but it makes sense to me)

[tex]36=2L+2W[/tex]

[tex]L=4*W[/tex]

Write the coefficients of each eqaution as rows in the matrix.

[tex]\left[\begin{array}{ccc}2&2&36\\1&-4&0\\\end{array}\right][/tex]

Divide the first row by 2.

[tex]\left[\begin{array}{ccc}1&1&18\\1&-4&0\\\end{array}\right][/tex]

Multiply row 1 by -1 and add it to row 2.

[tex]\left[\begin{array}{ccc}1&1&18\\0&-5&-18\\\end{array}\right][/tex]

Divide the second row by -5.

[tex]\left[\begin{array}{ccc}1&1&18\\0&1&\frac{18}{5} \\\end{array}\right][/tex]

Multiply row 2 by -1 and add it to row 1.

[tex]\left[\begin{array}{ccc}1&0&\frac{72}{5} \\0&1&\frac{18}{5} \\\end{array}\right][/tex]

We now have an augmented matrix.

[tex]L=\frac{72}{5}[/tex]

[tex]W=\frac{18}{5}[/tex]


Related Questions

Given f(x)=5(x^2+1)+16, what is the value of f(11)?

Answers

Answer:

The value of f(11) is 9.

The function of a given term is a form of an expression where element of the domain consists of a unique identity and each input value of a function is allocated to only one output value.

From the parameters given;

we are to replace x with 11 wherever we see x

f(11) = 9

Step-by-step explanation:

Help picture below problem 19

Answers

B- it is 1 because if you simplify your answer you will get 1

Answer:

9

Step-by-step explanation:

Because the 9 (by the power 12)/9 (by the power 12) becomes 9 (by the power 12) x  (by the power -12). HEre 12 gets subtracted by -12 and now remains 1 so,  9 (by the power 1) is 9

How do you write 9 1/10 as a decimal?) *

Answers

Answer:

Convert 9 1/10 to an improper fraction.

Decimal form

=9.1

Answer:

9.1

Convert [tex]9\frac{1}{10}[/tex] to [tex]9 + 1/10[/tex][tex]\frac{1}{10}[/tex] is the same as 1 divided by 10, which is 10, for this case 0.10Therefore, [tex]9 + 0.1 = 9.1[/tex]

There are other, more complicated ways to do this, but we must start with an easier, understandable way first.

__________________________________________________________

Questions?

Ask in the comments box.

PLEASE HELP ASAPP!!! (NO LINKS) WILL GIVE BRAINLIEST



Find the number of solutions of
the
equation 6x^2 + 6x + 3 = 0 by
using the discriminant.
(1 solution, 2 solutions, or no
real solutions)

Answers

Answer:

No real solutions

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given equation:  [tex]6x^2+6x+3=0[/tex]

[tex]\implies a=6, \quad b=6, \quad c=3[/tex]

Inputting these values into the discriminant:

[tex]\implies (6)^2-4(6)(3)=-36 < 0\implies \textsf{no real solutions}[/tex]

What are the prime factors of 700?
O A.2 x 2 x 25 x 7
OB. 350 x 2
OC. 2 x 2 x 2 x 5x5x7
OD 2 x 2 x 5x5x7

Answers

Answer:

b. 350x2

Step-by-step explanation:

the answer is 350x2 because if you do 350x2 you will get 700

John and Monica completed the same task on different lines in an assembly plant. When John had completed 7/9 of the task, Monica had only completed 5/9 of the task. How much more of the task has John completed than Monica?

Answers

Answer:

2/9ths

Step-by-step explanation:

7/9 - 5/9 = 2/9

Hope this helps <3

Question - I need more ----- inside of my life

Answers

Answer:

Hi, this is not really a question it is a statement but if you really need help with math then you can provide an actual question.

Step-by-step explanation:

Answer:

Then you must improve to get more things in your life

F(x)= x^2+2, g(x)= x+1, and h(x) =2x what is f(g(x)) when x= -1

Answers

f(g(-1)) = (-1 + 1)^2 + 2
= 0^2 + 2
= 2

18. What is the value of the 5 in 256
A. 5/10
SO
B. 10/5
C. 5/100
D. 100/5

Answers

Answer:

A. 5/10

Step-by-step explanation:

Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50

Jaydon has eaten 3.6% his 45 ounce block of chocolate
fudge. How many ounces of fudge has he eaten?

Answers

Answer:

The answer is 1.62 ounce

Step-by-step explanation:

Given;Jaydon has eaten 3.6% of his 45 ounce block of chocolate fudge.To Find;How many ounces of fudge has he eaten?

Now,

3.6% of his 45 ounce

45 × 3.6 ÷ 100

162 ÷ 100 = 1.62

Thus, Jaydon has eaten 1.62 ounce block of chocolate fudge.

A video game allows players to design their own character using the following options.
Video Game Character


What is the probability of designing a female character with long, red hair?

A. 1/24

B. 1/12

C. 1/9

D. 1/4

Answers

Answer:

1/24

Step-by-step explanation:

Probability of making female character = 1/2

Probability of having long hair = 1/3

Probablity of having red hair = 1/4

Multiply all these probabilities ( 1/2 x 1/3 x 1/4) = 1/24

The probability of making a female character with long red hair in this video game is 1 in 24.

I hope this helps.

HI I am 10 years old and I need help with my math homework, here's what I need help with:




Pls help me it is do today

Answers

Answer:

1   1/4

Step-by-step explanation:

Answer:

5/4 or 1 1/4

Step-by-step explanation:

1 3/4 - 2/4 = 1 1/4 or 5/4

please help me statistic and probability​

Answers

Answer:

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Step-by-step explanation:

→ Find how many numbers there are

2 14's, 3 15's, 2 10's, 1 12, 1 20 and 1 25 ⇒ The x value row will be 14, 15 ,10 ,12, 20 and 25

→ Now divide each front number by the total

Probability of 15 = 3/10

Probability of 14 = 2/10

Probability of 10 = 2/10

Probability of 12 = 1/10

Probability of 20 = 1/10

Probability of 25 = 1/10

Your sister Samantha is turning 48 in April. She is 3 times older than your brother John, and twice as old as you. How old is your brother John?

Answers

Is john 16?
Since samantha is 48 and she is 2 times older than me, that means im 24 (48/2) and since 3 times older than john that means 48/3= 16. John is 16

What is the slope of
the line?
[?]
[]
Give your answer as
a fraction in simplest
form.

Answers

Answer:

slope = 3/2

Step-by-step explanation:

we rise 3 and run 2 which gives us y=3/2x

What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.

Answers

m=5/2

use the slope intercept y=mx+b

1 + a to the power 3
[tex]1 + {a}^{3} [/tex]

Answers

Explanation:

Given that, 1 to the power of 3
Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:

lm = l × l × … × l (m times)

Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.
Therefore, 13 = 1 × 1 × 1 = 1

Hence, 1 to the power of 3 comes as 1.

Which of the following steps would you perform to the system of equations
below so that the equations have opposite y-coefficients?
4x+2y - 4
12x - y - 26
O A. Divide both sides of the top equation by 3
O B. Multiply both sides of the top equation by 2
O C. Multiply both sides of the bottom equation by 2
O D. Divide both sides of the bottom equation by 3

Answers

Step-by-step explanation:

please mark as brainliest please

Only 16 tho!!!!!please

Answers

Answer:

(5*2) + (1/2)(2+2+2)*4)

Step-by-step explanation:

Area of Triangle = (1/2)(2 + 2 + 2 )* 4)

Area of Rectangle = 5 * 2

Total Area = (5*2) + (1/2)(2+2+2)*4)

Find the area of this parallelogram.
A) 20 B) 24 C) 40 D) 60

Answers

[tex]\underline{\clubsuit{\bf{Given-}}}[/tex]

Height of the Parallelogram = 4cm

i.e, H = 4cm

Breadth of the Parallelogram = 10cm

i.e, B = 10cm

Measure a side of the Parallelogram = 6cm.

PS - Neglecting this because it is given just to puzzle us nothing else.

[tex]\underline{\clubsuit{\bf{To\:find-}}}[/tex]

the area of the Parallelogram.

[tex]\underline{\clubsuit{\bf{Concept-}}}[/tex]

Area of Parallelogram Formula

A parallelogram's area is defined as the space enclosed by two pairs of parallel lines. Since a rectangle and a parallelogram have identical properties, the area of a parallelogram equals the area of a rectangle.

What's the procedure to find?

To find the area of the parallelogram, we have to multiply the base (denoted by B) of the perpendicular by its height (denoted by H). We should keep in mind that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base. Thus, a dotted line is drawn to represent the height.

— Formula

Area of Parallelogram = Breadth (B) × Height (H)

[tex]\underline{\clubsuit{\bf{Solution-}}}[/tex]

Applying the formula and putting the values stated above,

[tex]\rightarrow{\sf{Area=10\times4}}[/tex]

[tex]\rightarrow{\boxed{\bf{Area=40cm^2}}}[/tex]

Hence, the area of the Parallelogram is 40cm².

The number 111…111 (100 ones) is multiplied by 101. The resulting number is then also multiplied by 101. The number obtained in the second step is again multiplied by 101. What is the sum of the digits of the number obtained in the third step?

Answers

Answer:

  800

Step-by-step explanation:

The three multiplication steps are equivalent to multiplying by ...

  101³ = 1030301

The sum of digits of the product will be the sum of digits of the partial products, since none of the digit-by-digit multiplications results in a product that is more than 10.

The sum of digits of the third product is ...

  (1 × 100) × (1 + 3 + 3 + 1) = 800

what's the sum of 3/8 and 1/16? a. 1/6 b. 7/16 c. 4/24 d. 1/4​

Answers

Answer: B

Step-by-step explanation: 3/8 + 1/16 = 0.4375 and 7/16 = 0.4375

Answer:

b.

Step-by-step explanation:

first, you would you would find a common denominator between 3/8 and you will get 6/16. last, you would add 1/16 + 6/16 for your answer of 7/16

Evaluate F ( 3 ) :
F ( 3 ) =
X =

Answers

Answer:

f(3) = 1

x = 2

Step-by-step explanation:

f(2) = 3 then x = 2

Please ,Check the illustration I provided.

The sum of 4 and the product of three and a number x

Answers

Answer:

4=3+x

Step-by-step explanation:

hello!

First, let the number be x.

The product of 3 and x looks like so:-

3x

Now, add 4 (the sum of 4 and 3x):

[tex]\bigstar\sf{3x+4}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

In the U.S. it is implied that two-year schools (community colleges) are “a bargain” compared to 4-year institutions. Complete a two-sample test. Test that the “average cost of state universities is greater than the average cost of community colleges”. To perform this test, you will use the average cost of in-state tuition from your sample data of state universities. ($10,472) You will also need to find the mean and standard deviation from the random sample of community colleges provided below. To find the mean and standard deviation for the community colleges data, plug the values into L1 and run 1-varstats. The mean is x-bar and make sure to use sample standard deviation, Sx. Assume variances are NOT equal as is done in the example on page 430. Complete a two-sample test at α = 0.05. WRITE AN INTERPRETATION OF YOUR RESULT. use either the p-value decision rule or rejection region. show all work by hand (If you establish in the hypothesis that 1 is the universities and 2 is community colleges make sure that your x-bar 1 and x-bar 2 also reflect those same categories. ) In hypothesis tests, I am looking for the correct conditions, hypotheses, model of either decision rule (draw out the normal distribution with correct shading of either p-value or rejection region), correct formula for the standardized test statistic with all values plugged in correctly, correct decision based on your p-value or standardized test statistic, and correct interpretation of your findings.
In-State Tuition

Amarillo College

2,538.00

Blue Ridge Community College

4,098.00

Bunker Hill Community College

3,384.00

Camden County College

1,650.00

Delta College

2,400.00

Eastern Wyoming College

2,280.00

Ellsworth Community College

3,960.00

Finger Lakes Community College

3,894.00

Granite State College

6,810.00

Massachusetts Bay Community College

3,624.00

Rock Valley College

2,970.00

San Antonio College

3,632.00

Answers

Answer: I got the same question, did u get the answer?

Step-by-step explanation:

find the missing coordinates y+7x=1

(-1, )
(4, )

Answers

Answer:

(-1,8)

(4,-27)

Step-by-step explanation:

y+7x=1

Let x = -1 and find y

y+7(-1)=1

y -7 =1

Add 7 to each side

y-7+7 = 1+7

y = 8

(-1,8)

Let x = 4 and find y

y+7(4)=1

y +28 =1

Subtract 28 from each side

y+28-28 = 1-28

y = -27

(4,-27)

Use the distributive property to express 30 + 42

Answers

Answer:

it would be  6 (5 + 7) = 30 + 42 = 72

Step-by-step explanation:

hope this helps if not please let me know

The numbers represented by points w, x and y on the number line are integers.

Under which of the following conditions could the expression, x > 2, be true? Select all that apply.

Answers

Answer:

Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.

Step-by-step explanation:

Step-by-step explanation:

https://brainly.com/question/14500266

A rectangular picture with perimeter 27 cm is glued in the center of a rectangular piece of cardboard. There is a 1 cm margin ( of empty cardboard) all around the picture. What is the perimeter of the piece of cardboard.

Answers

Answer:

  35 cm

Step-by-step explanation:

Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).

The perimeter formula tells you the perimeter is ...

  P = 2(L +W)

__

The cardboard perimeter will be ...

  P' = 2((L +2) +(W +2)) = 2(L +W +4)

  P' = 2(L +W) +8

  P' = P +8

If the original perimeter is 27 cm, the cardboard perimeter is ...

  P' = 27 +8 = 35 . . . . cm

The perimeter of the cardboard is 35 cm.

what is the distance of 53 yards square

Answers

Answer:

477 square foot

Step-by-step explanation:

cause yea

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