A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The length is : meters and the width is: meters.

Answers

Answer 1

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22  ---- OK


Related Questions

Which two equations below are equivalent to 4x-4?
Group of answer choices

3x+x+12-16

6(x-2)-2x+8

4x+14-10

4x-3x+2-4

Answers

3x + x + 12 - 16

6(x-2)-2x+8

Answer:

3x+x+12-16

Step-by-step explanation:

the 3x and x combine into 4x and the 12 and -16 combine into -4. This leaves you with 4x-4.

Andy painted 400 square feet in 3 hours.how long will it take him to paint 720 square feet

Answers

Answer:

324 minutes or 5.4 hours

Step-by-step explanation:

400/3 = 133.333

133.333/60 = 2.2222

It took him one minute to paint 2.2222 square feet

720/2.2222 = 324 minutes

324/60 = 5.4 hours

Answer:

It will take Andy 5 hours and 24 minutes to paint 720 sq. ft.

Step-by-step explanation:

Since he painted 400 sq. ft. in 3 hours, then do 400/3 to get 133.33... sq. ft per hour. Then, do 720 / 133.33... to get 5.40000000001 hours taken. The 5 represents 5 hours, and the .4 represents 24 minutes (because 60 x .4 = 24).

Overall, you get 5 hours and 24 minutes of time to pain 720 sq. ft.

Use the table below. Find the total cost of 2 salads, 1 sandwich, and 2 drinks. Use mental math. Lunch Menu Salad $6.25 Sandwich $5.50 Drink $2.75

Answers

Answer:

12.50+5.50+5.50= 23.50

Step-by-step explanation:

Add it

There are 7 students in a class. If there are 3 seats in the front row, how many ways can the students sit in the front row, assuming there are no empty seats?

Answers

Answer:

35 different ways

Step-by-step explanation:

Since there are 7 students in a classroom to fill a front row containing 3 seats, we will apply the combination rule since we are to select 3 students from the total number of 7 students in the class.

In combination, if r objects are to be selected from a pool of n objects, this can be done in nCr number of ways.

nCr = n!/(n-r!)r!

Selecting 3 students from 7 students to fill the seats can therefore be done in 7C3 number of ways.

7C3 = 7!/(7-3)!3!

7C3 = 7!/(4)!3!

7C3 = 7*6*5*4!/4!*3*2

7C3 = 7*6*5/6

7C3 = 7*5

7C3 = 35

Hence there are 35 different ways that the student can sit in the front assuming there are no empty seats.

1
Solve for x: (2x - 1) + (4x + 9) = 32 m
O x = 40/6
O x = 4
x = 22/6
Other

Answers

Answer:

[tex]x = \frac{40}{6} [/tex]

Step-by-step explanation:

To solve the equation

(2x - 1) + (4x + 9) = 32

First of all remove the parenthesis

That's

2x - 1 + 4x + 9 = 32

Simplify

We have

6x - 8 = 32

Add 8 to both sides

Thats

6x - 8 + 8 = 32 + 8

6x = 40

Divide both sides by 6

That's

[tex] \frac{6x}{6} = \frac{40}{6} [/tex]

We have the final answer as

[tex]x = \frac{40}{6} [/tex]

Hope this helps you

Answer:

2x -1 + 4x +9 =32=) 6x +8 =32=) 6x ==32-8=) 6 x = 24=) x = 24/6

=) x = 4

how do you solve this system of equation?
2x+4y=-4
3x + 5y =-3

Answers

Answer:

x = 4

y = -3

Step-by-step explanation:

We can use substitution, elimination, or graphically.

Step 1: Rearrange first equation

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Step 2: Rewrite systems of equations

x = -2 - 2y

3x + 5y = -3

Step 3: Substitution

3(-2 - 2y) + 5y = -3

-6 - 6y + 5y = -3

-6 - y = -3

-y = 3

y = -3

Step 4: Find x using y

2x + 4(-3) = -4

2x - 12 = -4

2x = 8

x = 4

Graphically:

Use a graphing calc and analyze where the 2 lines intersect.

is k=3 a reduction or enlargement (dilation)

Answers

Answer:

It is an enlargement because k=3 is larger than 1. Anything that equals less than one (ex. k=0.25) would be a reduction.  

Step-by-step explanation:

Find the value of x.
40°
(6x + 2)

Answers

Answer:

= 240x + 80

Step-by-step explanation:

PLEASE HELP ON 13 TO BE MARKED THE BRAINLIEST

Answers

Answer:

  D) 10000 feet

Step-by-step explanation:

We are told that for some actual altitude, the reading is ...

  30,000 ft = (1 -25%)altitude = 0.75×altitude

Multiplying by 4/3, we have ...

  (4/3)(30,000 ft) = altitude = 40,000 ft

To get to 30,000 ft, the plane must descend ...

  40,000 ft -30,000 ft = 10,000 ft

Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided information, draw a scatterplot of the data. Based on the information, what might the approximate damage index be if the temperature was 10° Celsius? A) 5 B) 7 C) 10 D) 13

Answers

Answer:

D) 13

Step-by-step explanation:

The lower temperatures have a negative correlation so the lower the temperature the higher the damage index. Therefore a temperature of 10° Celsius should have a damage index higher than that of 12° Celsius so the only option is 13.


Select the statement that accurately describes the following pair of
triangles

Answers

Answer:

  5.  Triangle UVT ~ ∆RSQ by SSS

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  VT : TU : UV = 42 : 70 : 84 = 3 : 5 : 6

  SQ : QR : RS = 15 : 25 : 30 = 3 : 5 : 6

Side lengths are proportional, so ∆UVT ~ ∆RSQ.

__

The triangle names need to be chosen so the sides are in the same order. Here UV and RS correspond, as do VT and SQ. That eliminates all but one answer choice.

Please help- Which is NOT equivalent to this expression? 3(52+15)

Answers

Answer: The last one  15[tex]g^{2}[/tex] +15g

Step-by-step explanation:

The last one , is not equivalent  because after simplifying the expression,  you will get  15g^2 + 45g   and the last one doesn't match to it.

Answer:

15g^2 +15g

Step-by-step explanation:

all the others are equal to 15g^2 + 45g aka 3(52+15)

Im so confused. Please help me.

Answers

h(2) = 5(2) + 1

= 10 + 1 = 11

so h(2) = 11

Answer:

11

Step-by-step explanation:

If x=2 then we just solve the expression on the right

5x+1

5*2+1

11

so h(2)=11

Wrote the slope intercept form of the equation for the line

Answers

Answer:

It would be the second question,

Step-by-step explanation:

y 7/8 x + 3/2

Simplify the radical. 2/√6 A)√12/6 B)√3/3 C)√6/3 D)√2

Answers

Answer: Choice C)  [tex]\frac{\sqrt{6}}{3}[/tex]

This is the square root of 6 over 3. The 3 is not inside the square root.

========================================================

Explanation:

sqrt = square root

We have sqrt(6) in the denominator. Your teacher wants you to rationalize the denominator, which means to take out the square root and instead have an integer here.

To achieve this, we multiply top and bottom of the fraction by sqrt(6) like so

[tex]\frac{2}{\sqrt{6}}\\\\\frac{2*\sqrt{6}}{\sqrt{6}*\sqrt{6}}\\\\\frac{2\sqrt{6}}{\sqrt{6*6}}\\\\\frac{2\sqrt{6}}{\sqrt{36}}\\\\\frac{2\sqrt{6}}{6}\\\\\frac{2\sqrt{6}}{2*3}\\\\\frac{\sqrt{6}}{3}\\\\[/tex]

Therefore,

[tex]\frac{2}{\sqrt{6}}=\frac{\sqrt{6}}{3}\\\\[/tex]

how many factors of 10 does 1000 have?

Answers

Answer:it has 16

Step-by-step explanation:

The answer of your question is 16 factors

Identifying Steps Involved in Deleting a Column from a Table
Tristan has moved the Television and related equipment Use the drop-down menus to identify the steps
row. Next, he needs to delete the blank row.
involved in deleting the blank row in this scenario.
Use
Percentage
Step 1:
Space cooling
17.5
Step 2
Step 3
Water heating
9.5
Step 4: Click the Delete Row option
9.2
9.1
8.8
Lighting
Space heating
Refrigerators and
freezers
Television and
related equipment
All other uses
5.9
40.0

Answers

1 - C

2 - B

3 - A

Step-by-step explanation:

CBASteps for deleting a column from a table:To delete a table cell, row, or column, perform a right-click.Select Delete Cells from the menu.Select Shift cells left or Shift cells up to erase a single cell.Click Delete the entire row to remove the entire row.Click Delete full column to remove the column.Columns -A column in a relational database is a group of data values of a specific type, one value for each database row. Text values, integers, or even links to operating system files can all be found in columns.

Therefore, the correct answer is as follows:

CBA

Know more about columns here:

https://brainly.com/question/13142932

#SPJ2

what is the tangent ratio for a

Answers

Answer:

2/3

Step-by-step explanation:

To find the tangent ratio of angle A we write the ratio of opposite side to adjacent side.

You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What's the y value when the x value equals 4?

Answers

Answer:

100

Step-by-step explanation:

First, write out the equation

y = 24x + 4

Then plug in x = 4 to solve for y

y = 24x + 4

y = (24)(4) + 4

y = 100

Researchers recorded that a group of bacteria grew from 200 to 1,000 in 8 hours. At this rate of growth, how many bacteria will there be in 20 hours from the start of the experiment

Answers

Answer:

  11,180

Step-by-step explanation:

The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...

  b = (initial value)·(growth factor)^(t/(period of growth))

  b = 200(5^(t/8))

Using t = 20, the predicted population is ...

  b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180

There might be about 11,180 bacteria in 20 hours.

Answer:

11,180

Step-by-step explanation:

Which equation demonstrates the multiplicative identity property? (negative 3 + 5 i) + 0 = negative 3 + 5 i (negative 3 + 5 i ) (1) = negative 3 + 5 i (negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i (negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i

Answers

Answer:

  (-3 + 5 i) (1) = (-3 + 5 i)

Step-by-step explanation:

The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.

Answer:

EDGE2020 is B

Simplify by dividing negative three over eight divided by five over nine..

Answers

Answer:

-15/24 or -0.625

Step-by-step explanation:

-3/8 ÷ 5/9

First, we can use the multiplication fraction conversion trick to switch the last fraction's numerator and denominator

It would look like this: -3/8 x 9/5

Use the cross out method to simplify the fractions as lowest as possible

-1/8 x 3/5 = -15/24

In your own words, describe the difference between a dilation and a stretch. *

Answers

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation that creates a larger image is called an enlargement. A dilation stretches or shrinks the original figure.

Which statement describes the congruent triangles?

1. WXZ = YZX
2. WXZ = YXZ
3. WXZ = XYZ
4. WXZ =ZYX

Answers

Answer:

1. [tex] \triangle WXZ \cong \triangle YZX[/tex]

Step-by-step explanation:

[tex] \triangle WXZ \cong \triangle YZX[/tex]

if ABCD is a parallelogram find the value of unknown size of angle ​

Answers

b=7×10(opposite angle of parallelogram)

b=70

3x+10+b=180(cointerior angles)

3x=10

x=33.33

a+70=180(cointerior angles)

a=110

which is a better price: 5 for $1.00, 4 for $0.85, 2 for $0.25, or 6 for $1.10?

Answers

Answer:

2 for $0.25

Step-by-step explanation:

1.10/ 6= .20 (rounding)

1.00/ 5= .20

0.85/ 4= .21

0.25/ 2= .13 (rounding)

Evaluate the expression 2(8-4) - 10 ÷ 2

Answers

3.
According to the order of operations (PEMDAS), parentheses come first. Therefore, you solve 8-4 first; your answer is 4. Then you use multiplication, so you solve 4 x 2; that gives you 8. Afterward, division has a higher priority than subtraction, so you divide 10 by 2. You terminal operation would be 8-5; your final answer is 3.

A zookeeper has 858585 treats to divide evenly among 888 seals. The zookeeper divides to see how many treats to give to each seal. The zookeeper will have as few treats left as they can.

Answers

Answer: 10 treats per seal, and there are 5 treats left.

Step-by-step explanation:

The zookeeper has 85 treats, and want to divide them into seals, in such a way that the treats left is minimized,

Then we want to find the multiple of  that is closer to 85 (from below)

We know that: 8*10 = 80 is a multiple of 8, and the next one is:

8*11 = 88, but this is larger than 85, so we discard this option.

Then we will divide 80 treats into 8 seals, and we will have:

85 - 80 = 5 treats left.

Then each one of the 8 seals gets:

80/8 =  10 treats.

Which of the number sentence is true?Justify with reasons. 3/10 of 50 = 50% of 3 3% of 50 = 6% 100 50 divide by 30 = 30 divide by 50 3/10 multiply by 50 = 5/10 multiply by 30

Answers

True: 3% of 50 = 6% of 100
50/100 = 1/2 3/6 = 1/2

What is 300 to the power of 10?

Answers

Answer: 5.9049E24

Step-by-step explanation:Because I said so

Answer:

5.9049e+24 bc they said so

Step-by-step explanation:

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