The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma

Answers

Answer 1

Answer:

19,4 or 4,19

Step-by-step explanation:

Let the width of the rectangle be 'w' in

According to the question length of the rectangle (l) is one inch less than five times it's width;

[tex] \longrightarrow [/tex] l = (5w - 1) in

Perimeter of rectangle = 46 inches

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 4 in

Length of rectangle (l) = 5 × 4 - 1 = 19 in


Related Questions

Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?

Answers

4x+3y=85.5
3x+5y=115
Combine it
X=7.5 y=18.5

Someone please explain to me how to do this ‼️

Answers

Answer:

37

Step-by-step explanation:

A triangle always have to finish with 180 degrees so

47+96=143

180-143=37

HOPE THIS HELPS :)

The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.

Answers

You will have to go step by step

Answer:

1.88

Step-by-step explanation:

The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?

Answers

Answer:

6560lbs

Step-by-step explanation:

PLZ HELP FIFTY POINTS FOR WHOEVER HELPS I NEED THIS ASAP

Answers

Answer:

x = 18

y = 54

Step-by-step explanation:

A straight line equals 180 degrees.

Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.

Because there is a right angle, we can subtract 90 -72 = 18.

18 + 2x = 3x

18 = x

A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!

Im not exactly sure what to do, could someone help me out?

Answers

Answer:

AB = 18 in.

BC = 22 in.

ED = 33 in.

Angle B = not possible

Angle C: not possible

Angle D = 39°

Angle E: not possible

Angle F: not possible

Step-by-step explanation:

Because it is given that ΔABC≅ΔDFE, we can find the corresponding sides and angles and then find all possible missing side and angle measures from the given diagram.

AB corresponds to DF (ΔABC ≅ ΔDFE)

Because DF = 18, then AB must equal 18.

BC corresponds to FE (ΔABC≅ΔDFE)

Because FE = 22, then BC must equal 22.

ED corresponds to CA (ΔABC≅ΔDFE)

Because CA = 33, then ED must equal 33.

Angle D corresponds to angle A (ΔABC≅ΔDFE)

Because angle A = 39°, then angle D must equal 39°.

All other angles cannot be found since they are not given on the corresponding angles of the triangles in the diagram.

I hope this helps you :)

If I get it right i will give brainlist

Answers

Answer:

a

Step-by-step explanation:

4x+9y= -108

4(0)=9y= -108

9y= -108

-108/9

y- intercept= -12

Brainliest to the most correct answer!!!

Answers

Answer:

Multiply the top equation by two because both y value will become opposites and will eliminate.

Please give Brainliest! I never got one! :)

Answer:

Well i will start that the answer is

" (x,y)= (-1/4, 4/3)                                     3y=2/3

Step-by-step explanation:


[tex] {2}^{m} = n [/tex]
solve
[tex] {8}^{m} - {4}^{ - m} [/tex]

Answers

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

I WILL MARK BRAINLIEST!!!

Factor -6m + 9.

-6(m - 3)
-6(m + 9)
-3(2m + 3)
-3(2m - 3)

Answers

Answer: -3(2m - 3)

Step-by-step explanation:

I need help!!! Find m<2.

Answers

Answer:

Step-by-step explanation:

m∠2 = 180° - 113° = 67°

Jordan is mixing water and flour to make tortillas. The
number of cups of water, w, needed for f cups of flour
is described by the equation w= = 0.75f
How many cups of water are needed to mix with 4 cups
of flour?
Please help!!!

Answers

Answer:

w = 3 cups when f = 4 cups

Step-by-step explanation:

Given:

w = 0.75f

Where,

w = number of cups of water

f = number of cups of flour

Find w when f = 4 cups

w = 0.75f

Substitute f = 4 into the equation

= 0.75(4)

= 3

w = 3 cups when f = 4 cups

What is the different between the expression (-2)3 and -23

Answers

Answer:

-23 is a set number (-2)3 is an equation

Step-by-step explanation:

The difference between (-2)3 and -23 are very simple. -23 is the product of another expression while (-2)3 can be simplified to -6 when multiplied.

Which equation is represented by the graph below?

Answers

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
12x + 9y = -45

Answers

Answer:

y=[tex]-\frac{4}{3}[/tex]x -5

Step-by-step explanation:

9y=-12x-45

y=-12/9x-5

y= -4/3x-5

Solve the equation
5(4+t) = 5t + 20

Answers

the answer is T=0 or 0
=
0

Answer:

it is infinite solutions

Step-by-step explanation:

because 20+5t=20+5t even if you put any number as the variable

Which of the following numbers are irrational?



Select all that apply.

Question 1 options:

A)

0.32


B)

16

C)

4


D)

π

E)

8–√

F)

36−−√ ANSWER FAST!

Answers

Answer:

the answer c

Step-by-step explanation:

the answer c

Can two people with blue eyes have a child with brown eyes? Why or why not? also i really don´t really know the subject so i put it in math.

Answers

Answer:

Yes

Step-by-step explanation:

In the family the blue eyed people may have had a gene with brown eyes. So if both parents carry that gene even if they don't display it, it can be still shown because brown eyes are the most dominant trait.

BR Elder 1: BL  BR     BL Elder 2: BL BL   BL Elder 1: BL BL   BL Elder 2: BR BL

              I                                  I                                      I                              I

                      I                                                                        I

Parent 1: Blue gene  brown gene          Parent 2: Blue gene brown gene

                                           I                                                                    I

                                                                              I

                                                            Child Brown eyes: BR BL

Because the brown gene is dominant if the gene shows up in both parents the child would be more likely to have brown eyes than blue.

which ordered pair is a solution of the equation

Answers

D none of them work :)

q+9p when q=18 and p=4 just the answer not how to solve

Answers

Answer:

The answer would be 54.

Answer:

The answer is 54.

Step-by-step explanation:

(Sorry I have to do this otherwise it will be deleted)

18+36

What is the nth term rule of the linear sequence
6,13,20,27,34?

Answers

Answer:

62

Step-by-step explanation:

fill in the blank to make an equivalent answer ___:30=3.5​

Answers

3.5 x 30= 105

105 divided by 30= 3.5

Hope this helps some

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.

9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data set? Round to the nearest hundredths.

0.40
0.72
1.15
2.14

Answers

Answer: 1.15

Step-by-step explanation:

Answer:

1.15 is the answer

Step-by-step explanation:

20% tip on a $30 hair cut

Answers

$6 is 20% of a $30 haircut

Answer:

Step-by-step explanation:

Turn

Just turn the percentage into a decimal, in this case turn 20% into the decimal form .20.

Multiply

Multiply the decimal by the dollar.

.20 x 30 = 6$.

This applies to other questions similar to this. Turn the percentage into a decimal.

102% of 50$

102% = 1.02

1.02 x 50 = 51 $

3% of 8$

3% = 0.03

0.03 x 8 = 0.24 $

A train leaves New York traveling at a speed of 90 km/hr. How much distance will it cover in five hours?

Answers

Answer:

450 Km

Step-by-step explanation:

90 Km/hr x 5 hr = 450 Km

I hope this helped and good luck!

Answer: Distance= 450km

Step-by-step explanation:

90 times 5= 450

HELPPP!!!

help me for a brainliest!

Answers

=5^6/5^4

=5^(6-4)

=5^2 ANSWER..

will give brainlist please help balancing equations

Answers

Answer:

cant

Step-by-step explanation:

(9,-8) and (9,6) and determine the equation of the line.

Answers

Answer:

The answer is undefined.

Step-by-step explanation:

The x will never change, no matter what the y is, so the answer will always be undefined.

How many solutions does 6x= 1 = 2x + 5 + 4x + 6 have?
A. No Solutions
B. Two solutions
C. Infinitely many solutions
D. One Solutions​

Answers

Answer:

C. Infinitely many solutions

Step-by-step explanation:

Answer:

INFINITE SOLUTIONS

Step-by-step :(examples)

any value of x makes the equation true

true for all= infinite solutions

one solution= x=30

no solution= 7=0

3. Roger runs 8 miles per hour. He ran for h
hours to run 6 miles.

Answers

Answer:

h=3/4

Step-by-step explanation:

6/8 can be simplified to 3/4.

Hope I helped! Please mark Brainliest!

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