The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions

Variables:


equation:



Solution:​

Answers

Answer 1

Answer:

the length and width be 13.33 feet and 34.67 feet respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the width be x

So, the length be 2x + 8

As we know that

The perimeter of the rectangle = 2(length + width)

96 = 2(2x + 8 + x)

96 = 4x + 16 + 2x

96 - 16 = 6x

80 = 6x

x = 80 ÷ 6

= 13.33 feet

So, the length would be

= 2 × 13.33 + 8

= 34.67 feet

Hence, the length and width be 13.33 feet and 34.67 feet respectively


Related Questions

Julie earned $402.17 in net pay for working 40 hours. She paid $93.26 in federal and state taxes, and $41.86 in FICA taxes. What is Julie's hourly wage?

Answers

Answer:

6.67625

Step-by-step explanation:

402-93-41=267/6.67625

PLEASE HELP:

The deductions from Jennifer Miller's monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross, (CIT) city income tax of 1.2% of gross, social security, and medicare. Her next monthly pay is $3,981.22. Find Jennifer's monthly gross pay.


A) $4,529.05

B) $4,551.23

C) $4,576.58

D) $4,589.08

Answers

Answer:

$4,711.31

Step-by-step explanation:

Calculation for Jennifer's monthly gross pay

First step is to calculate The total tax percentage deductions

Using this formula

Total tax percentage deductions =State tax + City tax + Social security + Medicare

Let plug in the formula

Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%

Total tax percentage deductions = 13.65%

Now let calculate the monthly gross pay

Monthly gross pay= ($3,981.22 +87)/(1-13.65%)

Monthly gross pay= ($3,981.22 +87)/0.8635

Monthly gross pay=$4,068.22/0.8635

Monthly gross pay= $4,711.31

Which of the following has zeros that are not significant?


2.05 m/s


10.0 J


1.30 N


100 kg

Answers

Answer:

Your answer would be D. 100 kg

Step-by-step explanation:

I took the test and got it correct

Hope this helps

Good luck!

The required zero that has not significant is 100, 10.0, and 1.30.

Given that,
To determine the number that has zeros that are not significant.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,

Zeros between non-zero numbers are significant.
So it contains 2.05,


Zeros to the left of the first non-zero digit are not significant.
It contains 100, 10.0. and 1.30


Thus, the required zero that has not significant is 100, 10.0 and 1.30

Learn more about the number system here:

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Gina went to a restaurant for lunch. On her bill the sales tax equals $2.34. If the tax is 8.5%, what was the subtotal (without tax) of her meal?

Answers

Answer:

$2.5389

Step-by-step explanation:

Given data

Cost of lunch = $2.34

Tax= 8.5%

Let us compute the cost of the tax

=8.5/100*2.34

=0.085*2.34

= $0.1989

Hence the total is = 0.1989+2.34

=$2.5389

are there any maths genius here can help?​

Answers

Answer:

1 》let equal side be X and other side y

now, length of y= 2x sin teta/2

=12.3×sin42/2

=12.3 × sin21

=4.407

Find the length of a segment in the coordinate plane with endpoints (-1,3) and (4, 5).​

Answers

Answer:

square root 29

Step-by-step explanation:

use the distance formula sqrt(x2-x1)^2+(y2-y1)^2  

sqrt(-1-4)^2+(3-5)^2= sqrt 29.

pls answer this asap

Answers

Answer:

its c or d

Step-by-step explanation:

help i need help fast​

Answers

Answer : Vertical .

Answer:

Vertical, Horizontal, and Diagonal

Step-by-step explanation:

5 lines of Symmetry.  

It has four lines of symmetry and four sides. A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.

Help please!
And thank u

Answers

a/7 + a/3 = 10
a = 21

Answer:

[tex] \frac{a}{7} + \frac{a}{3} = 10 \\ \frac{(3a + 7a)}{21} = 10 \\ \frac{10a}{21} = 10 \\ a = \frac{(10 \times 21)}{10} \\ \boxed{a = 21}[/tex]

a=21 is the right answer.

Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.

Answers

Answer:

It will take Michelle 80 minutes.

They're 35.20 kilometers away from their starting point.

Step-by-step explanation:

We have to find how many minutes it would take Michelle to catch up to Juanita.

We know that Michelle's movement is represented as: d = 0.44t

Juanita's movement is represented as: d = 0.3t + 11.2

To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.

Solve:

0.44t = 0.3t + 11.2

Subtract 0.3t from both sides.

0.14t = 11.2

Divide both sides by 0.14

t = 11.2/0.14

t = 80

This means that it would take 80 minutes for Michelle to catch up.

To find how far they are, multiply 0.44 by 80.

0.44 · 80 = 35.20

This means that they're 35.20 kilometers away from their starting point.

What is the sum of the angle measures of a 35-gon ?

Answers

Answer:

The interior angles would be 5940. The exterior angles would add to 360

Step-by-step explanation:

Solve: m = 5 – (-10).
GIVING BRAINLIST to people who is correct!

Answers

Answer:

15

Step-by-step explanation:

5 -(-10) = 15. The negatives together switch to addition

What is the solution to the system of equations?

2x+3y=26
3x+5y=40

1. X=10, y=2

2. X=10, y=-2

3. X=-10, y=-2

4. X=-10, y=2

Answers

Answer:

1. x = 10 , y = 2

Step-by-step explanation:

hope it helps ☺️

B.
-2x + 8 = y
3x - y = 22

How do I solve it

Answers

answer

x=6, y=-2

explanation

-2x + 8 = y -------equ 1

3x - y = 22 -------equ 2

u can use any of the simultaneous equation method

using elimination method

rearrange first from -------equ 1

-2x+8=y

-y-2x=-8

multiple through by -1

y+2x=8 -------equ 3

rearrange first from -------equ 2

3x-y=22

-y+3=22 ------equ 4

equate 3 and 4, adding them together

y+2x=8 -------equ 3

-y+3=22 ------equ 4

0+5x=30

5x=30

x=6------equ 5

replace 6 for x in any equation

using -------equ 3

y+2x=8

y+2(5)=8

y+10=8

y=8-10

y=-2

Answer:

(x, y)=(6, -4)

Step-by-step explanation:

-2x+8=y

3x-y=22

Substitute the given value of y into the equation 3x-y=22

3x-(-2x=8)=22

Solve the equation for x

x=6

Substitute the given value of x into the equation 3x-y=22

3x6-y=22

Solve the equation for y

y=-4

The possible solution of the system is the ordered pair (x, y)

(x, y)=(6, -4)

Check if the given ordered pair is the solution of the system of equations

-2x6+8=-4

3x6-(-4)=22

Simplify the equalities

-4=-4

22=22

Since all of the equalities are true, the ordered pair is the solution of the system

(x, y)=(6, -4)

A pool is surrounded by a rectangular fence with a
perimeter of 72 yards. If the length of the fence is 3
times the width, what is the length of the fence, in yards?

Answers

Answer:

width is 33

Step-by-step explanation:

width (b) =?

length(l)=3

perimeter (p)=?

now,

perimeter = 2(l+b)

or,72= 2(3+ b)

or,72/2= 3+b

or,36= 3+b

or,36-3= b

or,33= b

therefore width is 33

Which exponential function is represented by the values in the table?

Answers

Answer:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

Step-by-step explanation:

Exponential Function

The exponential function can be written with the general equation:

[tex]f(x)=A\cdot r^x[/tex]

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

[tex]\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = 4[/tex]

This gives the correct value of f(0)=4.

Substituting in the fourth function:

[tex]\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x[/tex]

[tex]\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0[/tex]

[tex]f(0) = \frac{1}{2}[/tex]

This choice is wrong

Correct choice:

[tex]\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}[/tex]

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

120 is too steep, so it is either 150 or 160.  According to an online protractor, it appears to be 150 degrees.

Step-by-step explanation:

Use the Distributive Property to expand
2(5x - 6y)- 4 =

Answers

Answer:

10x - 12y - 4

Step-by-step explanation:

2 x 5x = 10x

2 x 6y = 12y

put it all back together again

Answer:

x= 0.4+12y/10

Step-by-step explanation:

10x - 12y = 4

10x = 4 + 12y

x= 0.4+12y/10

Angles that ALWAYS sum to 180°

Answers

Answer:

supplementary angles

Step-by-step explanation:

Question 10(Multiple Choice Worth 1 points)
(05.02 MC)

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:


High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8


Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answers

Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

I need help solving these two questions
3x-5x=0
x-5x=-10

Answers

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Which expression is equivalent to 3 the 5th power?

Answers

Answer:

The expression equivalent to 3 to the 5th power is 3^5.

The number 3 raised to the 5th power is represented through the expression 3 ^ 5, which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3), which results in the number 243, which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

The solution is: The expression equivalent to 3 to the 5th power is 3^5.

Here, we have,

The number 3 raised to the 5th power is represented through the expression 3 ^ 5,

which means that the number 3 is multiplied by itself 5 times (3x3x3x3x3),

which results in the number 243,

which is can be corroborated by the following calculations:

3x3 = 9

9x3 = 27

27x3 = 81

81x3 = 243

Hence, The solution is: The expression equivalent to 3 to the 5th power is 3^5.

To learn more on Expression click:

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Angel and Jayden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes,
Jayden ran 3 laps in 5 minutes.
a) How many minutes does it take Angel to run
one Kilometer?
b) How many minutes does it take Jayden to run
one Kilometer?

will give brainlist!!

Answers

A.) 5 minutes
B.) 4 minutes

Please help me. I really don't know dis​

Answers

Answer:

I would do C because 2/3 is close to a whole so then you would get -3 and 1/4  is close to 0 so just keep 18 the same which would be -18 so -18 divided by -3 would be correct

Step-by-step explanation:

help pls thank you :)))$$:$:

Answers

Answer:

C.

Step-by-step explanation:

please mark me brainliest!!

Answer:

The answer is A

Step-by-step explanation:

Denominator *100* is higher

34=16+x helpppppp please due in 30 minutes

Answers

Answer:

34-16=18

so x = 18

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Subtract 16 from both sides to get x by itself. 34 - 16 = 18. 18 = x

2 2/3 - 1 1/2 - 4/5
Need answers pls show how you got it

Answers

it would be 45
l hope that helps

Solve the following, where 0° 0, then find cot

Answers

Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation:

Simplify the following expression: 9x+ 8y + 3x + 2y the *

Answers

Answer: 12x + 10y

Step-by-step explanation:

12x + 10y is the simplified version

What is 3 1/4 as a fraction

Answers

Answer:

13 / 4

Step-by-step explanation:

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