A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find
the length and width of the rectangle.

Answers

Answer 1

Answer:

14

Step-by-step explanation:

Perimeter = 2 x length + 2 x width  = 2L  + 2w

 

 Width is 4 cm less than the length, so w = L-4

 

  36 = 2L + 2(L-4)

 

 36 = 2L + 2L - 8

 

 36 = 4L - 8

 

44 = 4L

 

 L = 11

 

w = 7

 

2(11) + 2(7) = 22 + 14 = 36

Length is 11, width is 7


Related Questions

Which of these tables represent a linear function?

Answers

Answer:

B because the rates are steady

Step-by-step explanation:

billy started a paper route with 21 customers. if he adds 3 new customers every week, how many weeks will it take to double the number of customers on his route.

Answers

Week 1 - 21
Week 2 - 24
W3 - 27
W4 - 30
W5 - 33
W6 - 36
W7-39
W8-42

It will take him 8 weeks

Answer:

It will take billy SEVEN weeks

Step-by-step explanation:

It will take Billy seven weeks because 3 x 7 = 21

Claire's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y represented by the equation y = 56 + 7.1x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y = 92?

the change in expected quiz for every additional one hour students spend on their homework.

a student's expected quiz score if they spent 1 hours on their homework.

the number of hours a student should spend on their homework to expect a score of 92 on the quiz.

a student's expected quiz if they spent 92 hours on their homework.​

Answers

Answer: t = 5.7 hours

Step-by-step explanation:

y=56+7.1x where x is the time spent studying.  If y=92, this equation would preduct that the student spent t hours studying.  Find t:

92=56+7.1x

36=7.1t

t = 5.07 hours to achieve the 92 score.

Answer: The number of hours a student should spend on their homework to expect a score of 97 on the quiz

Step-by-step explanation:

pls pls pls help me with this

Answers

Answer:

h=3

Step-by-step explanation:

divided the 21 by the 7

3/4+5/6 divided by 2/3 in simplest form show work, please!
Thanks!

Answers

Answer:

2 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 [tex]\frac{3}{8}[/tex]

Hope this helps :)

Can someone help me out???
How could you use the hexagon you constructed to create a 12-sided figure?

Answers

Answer:

to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.

Step-by-step explanation:

Please help I really need it!

Answers

The rate of change is 2/3

rise = 2

run = 3

rise/over = 2/3

Answer: 2/3 is gonna be your answer. Trust me I have done this exact

g o o g l e form before!

Step-by-step explanation:

A picnic table requires 5 boards that are 6 feet long, 4 boards that are 3'3" long, and 2 boards that are 18 inches long. Find the total length of lumber required, using feet as your final unit.

Answers

Answer:

22

Step-by-step explanation:

5 boards = 6 feet

4 boards = 13 feet

2 boards=3 feet

and when you add them its 22.

[tex]\sf 500+60+70[/tex]

Answers

............... that just 630

Patty rides her bike 2 3/4 miles to school. She rides 3 5/6 miles to get back home, because she needs to meet her brother at school first. How many miles does Patty ride her bike? Explain how you know that your answer is reasonable.

Answers

Answer:

6 7/12 miles

Step-by-step explanation:

Explanation: The total miles she rides is the miles she rides to school + the miles she rides back

Step 1: Convert both mixed numbers into fractions.

2 3/4 = 11/4

3 5/6 = 23/6

Step 2: Find GCF by multiplying both fractions by opposing denominators

11/4 = 66/24    (11 * 6 = 66, 4 * 6 = 24)

23/6 = 92/24    (23 * 4 = 92, 6*4=24)

Step 3: Add both fractions

92/24 + 66/24 = 158/24

Step 4: Simplify

158/24= 79/12 = 6 7/12 miles

Determine the slope of the line given two points (-3 -1) and (5,-5

Answers

Answer:

-1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-1) / 5 - (-3)

-4/8

= -1/2

At a movie theater, the ratio of filled seats to empty seats is 6 : 5. ere are 120 empty seats. How many seats are filled?

Answers

Answer:

filled seats is 144

Step-by-step explanation:

5fs=6es

es=120

5fs=6(120)

5fs=720

fs=144

brainlist answer please

The larger of two consecutive integers is 13 greater than four times the smaller. Find the integers. -3, -4 7, 8 3, 4

Answers

Answer:

The integers are -3 and -4.

Step-by-step explanation:

Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.

If the smaller integer is x, then the next greater integer is x + 1.

x + 1 = 4x + 13

-3x = 12

x = -4

x + 1 = -3

Answer: The integers are -3 and -4.

Check:

Smaller integer: -4

Larger integer: -3

4 times smaller integer = 4 * (-4) = -16

13 greater than 4 times smaller = -16 + 13 = -3 = greater integer

-3 and -4 is the correct answer.

Answer:

-3 and -4

They are indeed correct.

True or False: In order to solve an equation, we must isolate the variable.

Answers

the answer is false. in order to solve an equation you must reverse the operations acting on the variable

8. An employee works 6 hr. on Monday, 8 hr. on Tuesday, and 9 hr. on Wednesday and received
a $51 bonus. What is his hourly pay rate if his gross income (before deductions) was $350 for the three days?
O
$13/hr.
O
$14/hr.
O
$15/hr.
$16/hr.

Answers

Answer:

$13/hr

esa es la respuesta

Answer:

$13/hr

Step-by-step explanation:

Without bonus gross income = $350 - $51 = $299

Hours combined = 6hr + 8hr + 9hr = 23hr

23hr = $299

$299 ÷ 23hr = $13

Hourly pay rate = $13

what is the ratio of 0.75 decimal​

Answers

The ratio is 3:4, think of it like a fraction .75 as a fraction is 3/4

Phil is riding his bike. He rides 29 miles in 2 hours, 43.5 miles in 3 hours, and 58 miles in 4 hours. Find the constant of proportionality and write an equation to describe the situation. Let x represent the number of hours.


What is the constant proportionality?

And what is the equation that best describes the relationship?

Answers

did this test 100 an got an hundred and help all of my class becaseu i am the teacher

What is a rule that describes the translation that maps triangle ABC onto triangle A'B'C'?
A.T< 5, 3 >(ABC)
B. T< −5, 3 >(ABC)
C. T< 5, −3 >(ABC)
D. T< −5, −3 >(ABC)

Answers

Answer:

the answer is D.

Step-by-step explanation:

I took the test and got it right!

Write your equation with "M" isolated.4 Hours (H) 36 Miles (M)

Answers

H=9M aka M=1/9H is the equation

Nyesha owns a lawn service company. Currently it takes her 50 hours a week to service all of her

customers. To reduce the number of hours a week she needs to work, Nyseha hires Shantese to

help her. While Nyesha was on vacation, Shantese was able to complete all of the work in 60 hours.

If Shantese and Nyesha work together, after Nyesha returns from facation, how long will it take

them to service all their customers?

Answers

Fractions are integers that have both a numerator and a denominator. They are represented as;  [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

To solve the above question, we would be applying the operations of the addition of fractions.

It will take both of them  [tex]27\frac{3}{11}[/tex]  hours if they worked together.

From the question,

Nyesha takes 50 hours a week to render services to her customers.

Shantese takes 60 hours a week to do the same amount of work.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/50 + 1/60

Lowest Common Denominator for (50, 60 ) = 300

Hence,

1/T = 6 + 5 / 300

1/T = 11/300

Find the reciprocal of both sides

T = 300/11 hours

T = [tex]27\frac{3}{11}[/tex] hours

Therefore, it will take them both of them [tex]27\frac{3}{11}[/tex] hours in they both work together.

To learn more, visit the link below;

https://brainly.com/question/24981566

Help i don't get it. I've been trying

Answers

Answer:

JK = 42 , KL = 78

Step-by-step explanation:

JK + KL = JL , substitute values

4x + 6 + 7x + 15 = 129 , that is

11x + 21 = 120 ( subtract 21 from both sides )

11x = 99 ( divide both sides by 11 )

x = 9

Then

JK = 4x + 6 = 4(9) + 6 = 36 + 6 = 42

KL = 7x + 15 = 7(9) + 15 = 63 + 15 = 78

HELP PLS DUE IN 5TH PERIOD AND IT 3RD PERIOD RNN

Answers

Answer:

Step-by-step explanation:

Just plot them in the right location we really can't help with that

Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.
MInimum Balance-$100.00
Current Balance-$320.00

Answers

Answer:

100.00-20=80

320.00-20=300

Step-by-step explanation:

LCD of the fractions below

1/3 And 5/8

Answers

Answer:

24

Step-by-step explanation:

LCD = 24

Equivalent Fractions with the LCD

1/3 = 8/24

5/8 = 15/24

Before Sarah does open her account, she sees her grandmother for the holidays. Grandma wants to contribute to Sarah’s ROTH and even matches her contribution, giving her an additional $500 to invest. Now that Sarah has an initial investment of $1000, how much would Sarah have at age 68 based on her predicted rate of return from historical data

Answers

Answer:

2,9457

Step-by-step explanation:

100+7% = 1.07

(1.07)^50 = 29.45702506

y = 1000(29.46)

y = 29,460

help me with this please

Answers

Answer:1/2
Explanation

Preliminary:

Fractions in Mathematics are rational numbers that can be written in the form x/y, where x and y are integers, and y 0 and the number x is not a multiple of y. In fractions x is called the numerator while y is called the denominator.

Fraction Types:

Common Fraction = is a fraction expressed in the form x/y, x as the numerator and y as the denominator. x and y are integers and y 0Mixed fraction = is a combination of whole numbers and fractions, expressed in the form a [tex] \frac{b}{c} [/tex]Decimal fractions are indicated by a comma (,) as a separator between the round and fractional parts. The round part is in front of the comma and the fraction part is behind it. One digit after the comma means the denominator of the fraction 10, two digits after the comma means the denominator of the fraction 100, and so on.A percent fraction is a fraction that has a denominator of 100, expressed in the form a%. example 50% is the same as [tex] \frac{50}{100} [/tex]

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]3( \frac{6}{8} - \frac{1}{2} ) + 0.25 = \frac{3 \times 2}{4 \times 2} - \frac{1}{2} = \frac{3 - 2 \times 1}{4} = \frac{1}{4} + 0.25 = \frac{50}{100} = \frac{1 \times 50}{2 \times 50} = \frac{1}{2} [/tex]

Answer Details:

Grade: 6-Primary School

Subject: Math

Chapter: 6

Sub-chapter: Fractional Counting

Categorization Code: 6.2.6

The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
33/2
11
11
33/2

Answers

22/2 ? i think lmk if its wrong

The scale factor as fraction in simplest form is 3/2.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given  square on the right is a scaled copy of the square on the left.

So 11 is being multiplied by something to get to 33/2

So 11x = 33/2

Solve for x:

11x = 33/2

x = 33/ 2(11)

x = 3/2

The scale factor as fraction in simplest form is 3/2.

Learn more about multiplications;

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#SPJ2

In this lesson you discovered the Angle Blsector Conjecture. Write the converse of the Angle Blsector Conjecture. Do you think it's true. Why or why not?

Answers

Answer: The converse is that if a point is on the interior of an angle and is equidistant from both sides of the angle, then the point lies on the angle bisector. This makes sense since the distance from a point and a side of the angle is a perpendicular line connecting the point to a side. And since it is equidistant from both sides, the perpendicular lines have to be congruent, it make sense if the point is on the angle bisector, the traingles would be congruent.

Step-by-step explanation: The explanation is in the answer.

BRAINLIST!!! SHOW WORK!!!!!

Lines AB and CD are perpendicular to each other. If 3 measures (5x + 2)°, and 4 measures 13°, what is the value of x?
A.
x = 15
B.
x = 77
C.
x = 2
D.
x = 21

Answers

Answer:

A is the correct option.

Step-by-step explanation:

Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.

Then,

(5x + 2) ° + 13° = 90°

5x + 15° = 90°

5x = 75°

x = 15°

If you know two angle measures of a triangle in spherical geometry, can you always find the measure of the third angle? Explain.

A. Yes; the angle measures of a triangle always sum to 180.
B. Yes; the angle measures of a triangle always sum to 270 in spherical
geometry.
C. No; the sum of angle measures in spherical geometry is always greater than
180, but there is not a particular number they must sum to.
D. No; the sum of angle measures in spherical geometry is always greater than
270, but there is not a particular number they must sum to.

Answers

When two angle measure of a triangle are given in spherical geometry: The sum of angle measures in spherical geometry is always greater than 180, but there is not a particular number they must sum to. Choice C (No) is correct

According to the question;

Two angle measures of a triangle in spherical geometry are given.

However, unlike in plane geometry where affirmatively, the sum of angles in a triangle is equal to 180°.

In spherical geometry;

The totality of the angles of a triangle on a sphere is given as 180°(1 + 4x), where x is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of x, which in each case exceeds 180°.

Read more:

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