The length of a rectangle is 6 inches longer than the width. The perimeter of the rectangle is eight times the width. What is the width of the rectangle?

Answers

Answer 1
L = w+6
Perimeter = L + W
Substitute eqn 1 into 2
Perimeter = 2W + 6
Perimeter also = 8w
8w = 2W + 6
6w = 6
W = 1
Answer 2

Answer:

The width is 3 inches.

Step-by-step explanation:

First, let's identify our variables.

L=Length

W=Width

P=Perimeter

P=2W+2L

We know that L=W+6

We can substitute L for W+6, and we can substitute P for 8W, which gives us the equation:

8W=2W+2(w+6)

If you go through all the steps to isolate the variable W, you'll end up with W=3


Related Questions

What are the values of x and y if this equation is true?

22(x + yi) + (28 + 4i) 72 – 62i

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.

Point P' is the image of P(-2,4) under a translation by 2 units to the left and 5 units down.

Answers

Answer:

(-4,-1)

X value: -2 - 2 = -4.

Y value: 4 - 5 = -1

13 and 5/8 plus 7/8 please answer quickly

Answers

13 5/8 + 7/8 = 14 1/2

5/8 + 7/8 = 1 4/8 = 1 1/2

1 1/2 + 13 = 14 1/2

Order 2/3, 2/9, 5/6, 11/18 from least to greatest.

Answers

Answer:

2/9, 2/3, 8/11, 5/6.

(2x^4 + 3x^3 – 5x - 19)+(x^2 + 1)

Answers

Answer:

2x  4  +3x 3  +x  2  −5x−18

Step-by-step explanation:

w = 8.75h
What is an impossible value for h?

Answers

Answer:

h = 0.1 142857 w

Step-by-step explanation:

Answer:

hayy

Step-by-step explanation:

Solve 12-5x-4kx=y for x

Answers

Answer:

x  = - y-12/5+4k

Step-by-step explanation:

Solve 12-5x-4kx=y for x

12-5x-4kx  =  y for x

substract 12 from both side

   -5x-4kx  =  y-12

Factor of -5x-4kx = -x(5+4k)

   -x(5+4k) =  y-12

Solve for x

             -x =  y-12/(5+4k)

Therefore x = - y-12/5+4k

The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket.  Each of the tables gives the prices of various pounds of blueberries at a different supermarket.  Which of these tables represents blueberries that are more expensive than those represented by the equation?  Select all that apply.

Answers

Answer:

Table C, Table D, Table E

Step-by-step explanation:

See attachment for tables

Given

[tex]p = 3.25b[/tex]

Required

Which of the tables is more expensive than the given function

To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]

Table A:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1,2.75)[/tex]

[tex](b_2,p_2) = (4,11)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]

[tex]m = \frac{8.25}{3}[/tex]

[tex]m = 2.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 2.75 = 2.75(b-1)[/tex]

[tex]p - 2.75 = 2.75b-2.75[/tex]

[tex]p = 2.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.75 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

Table B:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1.5,3.75)[/tex]

[tex](b_2,p_2) = (6,15)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]

[tex]m = \frac{11.25}{4.5}[/tex]

[tex]m = 2.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 3.75 = 2.5(b-1.5)[/tex]

[tex]p - 3.75 = 2.5b- 3.75[/tex]

[tex]p = 2.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.5 < 3.25[/tex]

Hence:

This equation is also less expensive than [tex]p = 3.25b[/tex]

Table C:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2,7)[/tex]

[tex](b_2,p_2) = (4,14)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{14 - 7}{4 - 2}[/tex]

[tex]m = \frac{7}{2}[/tex]

[tex]m = 3.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 7 = 3.5(b - 2)[/tex]

[tex]p - 7 = 3.5b - 7[/tex]

[tex]p = 3.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.5 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table D:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2.5,10)[/tex]

[tex](b_2,p_2) = (5,20)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]

[tex]m = \frac{10}{2.5}[/tex]

[tex]m = 4[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 10 = 4(b - 2.5)[/tex]

[tex]p - 10 = 4b - 10[/tex]

[tex]p = 4b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]4 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table E:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (6, 22.5)[/tex]

[tex](b_2,p_2) = (12,45)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]

[tex]m = \frac{22.5}{6}[/tex]

[tex]m = 3.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 22.5 = 3.75(b - 6)[/tex]

[tex]p - 22.5 = 3.75b - 22.5[/tex]

[tex]p = 3.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.75>3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table F:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (7, 21)[/tex]

[tex](b_2,p_2) = (14,42)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{42 - 21}{14 - 7}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p -21 =3(b -7)[/tex]

[tex]p -21 =3b -21[/tex]

[tex]p = 3b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

Solve absolute value equation 2|x-3|-8=2

Answers

Answer:

[tex]x=8, -2[/tex]

Step-by-step explanation:

[tex]2|x-3|-8=2[/tex]

[tex]2|x-3|=10[/tex]

[tex]|x-3|=5[/tex]                               [tex]|x-3|=-5[/tex]

[tex]x-3=5[/tex]                                [tex]x-3=-5[/tex]

[tex]x=8[/tex]                                      [tex]x=-2[/tex]

if you can choose one scoop of ice cream and one topping, how many different sundaes can you make?

Answers

Answer:

I believe there is something wrong with ur question.

It's 2 one with a topping and one with out

what is vertex of the graph of the function below y=x^2-10x+21

Answers

Answer:

(-4,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is (5,-4) the first answer is backwards

Find the midpoint of the segment with the given endpoints.
(0,0) and (6.-8)

Answers

The midpoint of the segment should be (3, -4)

what is the sum of the place values of the number 6,453​

Answers

Answer:

Thousands Hundreds Tens Ones

          6                      4                    5             3

Step-by-step explanation:

Number x Multiplier = Value

   6           x         1,000            6,000

   4           x           100              400  

   5           x            10                       50

   3           x             1                        3

Add up all of the values and you get 6,453.

A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% ​, find the price of the television set before taxes.

Answers

Answer:

399.84

Step-by-step explanation:

408.00 x .98 (2% reduction from 100) = 399.84

PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST
Find the value of the following expression.

Answers

Answer: 25 I believe

Answer:

  25

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . for a≠0

__

  [tex](2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}[/tex]

i need help pleaseee❤️

Answers

Answer:

A"(2,11) B"(0,5) C" (4,3)

Step-by-step explanation:

Question in picture. Will mark brainleist if correct.

Answers

Answer:

the answer is A

Step-by-step explanation:

PLEASE ANWSER
POR FAVOR

Answers

Sorry the picture won't load for me I'm not sure if it's just my wifi.

What can you triple and then subtract by 1 to get 29

Answers

Answer:

10 would be the answer :)

If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show

Answers

Answer:

3.125 pounds

Step-by-step explanation:

Digital scale would show weights in decimal form

3 1/8 = 3.125 pounds

Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?

Checking Account Summary

Ending Balance

$ 72571

Deposits

+ $610.00

Checks Outstanding - $ 471.19

Revised Statement Balance

Check Register Balance $ 864.52

Answers

Answer:

Revised statement balance=$ 864.52

Yes Rona's is account reconcile

Step-by-step explanation:

Calculation to Find Rona's revised statement balance

Using this formula

Revised statement balance=Ending balance+Deposits-Checks Outstanding

Let plug in the formula

Revised statement balance=$ 725.71+$610.00-$ 471.19

Revised statement balance=$ 864.52

Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE

In a group of 90 seventh
graders, 80% like hot chocolate.
How many students do not like
hot chocolate?

Answers

90 x .80= 72. 72 Students like hot choco, therefore 8 do no like hot choco

Answer: 18

Step-by-step explanation:

90 / 10 = 9 (10%)

9 x 8 = 72 (80%)

90 - 72 = 18 (20%)

Evaluate. 68.14 + 0.0007

Answers

Answer:

68.1407 us the answer

Step-by-step explanation:

Just add

Please help ASAP!!!!

Answers

a negative times a negative is a positive, and a negative times a positive is equal to a negative. I’ve never used that program so if that what u need help with sorryyy

5(-2/3) this is it and I don’t know it

Answers

Answer:

4 1/3

Step-by-step explanation:

hope this helps!

Answer:

I'm assuming it's asking to simplify, so if that's the case, then you multiply the numerator by 5 and get 5(-2/3)= -10/3.

Can someone Help explain this geometry question

Answers

Answer:

if you add it all up then divide it by the amount of numbers their are you'll get 22

Step-by-step explanation:

Which inequality is true?

Answers

Answer:

2 1/3 > 2 1/6

Step-by-step explanation:

2.33 > 2.17 True

How do you know if it is inequality or not w/ fraction?

An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

To solve an inequality using the following steps:

1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

2) Simplify by combining like terms on each side of the inequality.

3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Answer:

B

Step-by-step explanation:

I did the quiz

Which step can you use to solve the equation first -5+p=4?

Answers

Answer:

Step-by-step explanation:

You have to do the opposite of the firs t one. You are going to add 5 to the four to get

p = 9. There is your answer!  Add on both sides!

Answer:

add 5 to both sides of the equal sign

Step-by-step explanation:

the answer will be p=9

HURRY I'M TIMED!!



What is the quotient? -4/5 divided bye 2

Answers

Answer:

-0.4

Step-by-step explanation:

Good luck!

A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?

Answers

Answer:

The answer is 145 ceramic tiles

Step-by-step explanation:

$4 Divided by $581.82 = 145.455

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