The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer 1

Answer:

Dimensions of rectangle = 23 cm x 5 cm

Step-by-step explanation:

Equations we can form

Perimeter of 56 cm

⇒ 2L + 2W = 56

⇒ L + W = 28

Length is 8 more than 3 times its width

⇒ L = 3W + 8

Substitute in previous equation

⇒ 3W + 8 + W = 28

⇒ 4W = 20

⇒ W = 5 cm

⇒ L = 28 - 5 = 23 cm


Related Questions

The price of gas increased from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

Answers

The percent increase would be about 55%

I do not understand

Answers

A) 1
B) 10/3
C) 6
D) 18/5
So only C is bigger than 4

Hey there!

First, let's convert 4 into a fraction: 4/1

Now, multiply fractions:

1/4*4/1=1

is 1 greater than 4? of course not.

let's try Option B:

5/6*4/1

5 times 4 and 6 times 1

20/6

reduce the fraction

10/3

or

3+1/3 (less than 4)

Is it Option C? Let's try/

3/2*4/1

3 times 4 and 2 times 1

12/2

6

and 6 is greater than 4. Bingo!

How about Option D?

9/10*4/1

9 times 4 and 10 times 1

36/10

18/5

Hence, the answer is

[tex]\boxed{\boxed{\bold{option~C}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

:-)

Please Answer ASAP

I was kind enough to give the old ones we had a the beginning of a school year
The other one is not mines

Answers

Answer:

The answer = 9

D : 729

Step-by-step explanation:

here step-by-step is 6/2 * (1 + 2) = 9                          

Solve for x: -1 < x + 3 < 5

Answers

Answer:

- 4 < x < 2

Step-by-step explanation:

- 1 < x + 3 < 5  ( subtract 3 from each of the 3 intervals )

- 4 < x < 2

꧁⫷ᴀɴsᴡᴇʀ⫸꧂

-1 < x + 3 < 5

Then subtract 3 from each of the 3 intervals

- 4 < x < 2

#CarryOnLearning

#LibreAngMatuto

What is the volume of the right rectangular prism?

Answers

Answer:

[tex]\boxed{\sf{140}}[/tex]

Step-by-step explanation:

A rectangular prism's volume must be determined in order to solve this problem.

Remember to use this rectangular prism formula:

[tex]\sf{V=l*w*h}[/tex]

L=7 in

W=5 in

H=4 in

Multiply.

7*5*4=140

140 in

Therefore, the correct answer is 140.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

V = 140 cubic units

We can split this equation into multiple steps to solve:
7 x 5 x 4 =
(7 x 5) x 4 =
35 x 4 = 140

Therefore your answer would be:
140 cubic units
Otherwise, known as option C.



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Use quadratic method :
6y^2 - 4y - 3=

Answers

Answer:

see explanation

Step-by-step explanation:

look at the photo

Mr. Sanko downloaded 34 more songs than Mrs. Sanko downloaded. Together they downloaded 220 songs. How many songs did each download?
Let X=Mr. Sanko and Y=Mrs. Sanko

a. Mr. Sanko downloaded 127 songs.
Mrs. Sanko downloaded 93 songs.
b. Mr. Sanko downloaded 93 songs.
Mrs. Sanko downloaded 127 songs.
c. They downloaded the same amount of songs.

Part b: Type the two equations for this situation:

Answers

Short Answer part 1: A
Short Answer part 2: 34+y=x and x+y=220

Explanation: Mr. S (x) downloaded 34 more songs than Mrs. S (y), and so the amount of songs that mr downloaded is equal to the amount of songs Mrs downloaded plus 34. ((34+y=x))

If you add together the amount of songs that mr (x) and Mrs (y) downloaded you will get ((x+y=220)).

Because mr’s (x) songs are equal to ((34+y)), you can substitute the value of x in for x in the equation ((x+y=220)), thus creating the equation ((34+y+y=220)).

Simplify ((34+y+y=220)) by first combining like terms, and then solving for y. When you solve for y, you will find that ((y=93)).

If you plug that value into ((34+y=x)), you will find the equation ((34+93=x)).

Solve for x.

((x=127))

Mr. Sanko (x) downloaded 127 songs, giving you the answer a.

Help me on this question please!

Answers

Answer:

1/5

Step-by-step explanation:

Arrange the numbers from smallest to largest...the median is the one in the middle of the list

-12/4   - 2.5    1/5    18/5    10       the middle is 1/5

Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
answers to the total number on the test in simplest form?

Answers

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

Select all the situations where knowing the volume of an object would be more useful than knowing its surface area.

A. Measuring the amount of gasoline left in the tank of a tractor.

B. Packing a box with watermelons for shipping.

C. Filling an aquarium with buckets of water.

D. Charging a company for ad space on your race car.

E. Determining the amount of paint needed to paint a barn.

F. Determining the monetary value of a piece of gold jewelry.

G. Deciding how much wrapping paper a gift will need.

Answers

Answer:

The answers are A, B, C, and probably F

Step-by-step explanation:

Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.

Hope this helps!

Mrs Smith visits THE SCHOOL - outfitters to buy school clothes for the new school year.
The price of a school dress is R350 and a blazer is R650.
Calculate the percentage profit the shop makes if the cost price per dress is R280.

Answers

The shop makes 25% profit if the cost price per dress is R280.

what value of x makes this inequality true?
x + 16 < 43

Answers

Answer:

x < 27

Step-by-step explanation:

x + 16 < 43

move the constant to the right-hand side and change its sign

x < 43 - 16

subtract the numbers

x < 27

~~~~~~~~~~~~~~~~~~

X < 27

alternative form

X ∈ ( - ∞ , 27 ) , { x | x < 27 }

Brainliest if correct

Answers

Answer:

$294.00

Step-by-step explanation:

Whats the gross pay before taxes?

Answer: $294.00 with overtime and everything.

What is the perimeter of the shape below?

Answers

None of these choices are correct

The down side of the shape is unknown and cannot be found, therefore you cannot find the perimeter of the shape.

2m - 3 - 5= -m + 10 please help me

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3m = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 18 \div 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = 6[/tex]

Hence, value of m is 6

A) fifteen twentieths
B) twelve fifths
C) fifteen fourths
D) eight halves

Answers

Answer would be C) fifteen fourths

Hello !

_______

Answer :-

C) Fifteen fourths.

[tex]\huge {\boxed {\underline{Explanation :}}}[/tex]

[tex]\sf{5 \: x \: \frac{3}{4}[/tex]

_______

[tex]\sf{Apply \: the \: fraction \: rule :} \: a \: ^. \: \frac{b}{c} = \frac{a \: ^. \: b}{c}[/tex]

[tex]\sf{\frac{5x \: ^. \: 3}{4}[/tex]

_______

[tex]\sf{Multiply \: the \: numbers:} \: 5 \: ^. \: 3 = 15[/tex]

[tex]\sf{= \frac{15x}{x}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Dollixna ~

how do I do this??????

Answers

you take 99 divided by 22 = 4.5

I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.

have a good day/night!! :)

Please someone help I will give brainliest

Answers

Answer: 42.0

Step-by-step explanation:

Can someone please help?

Simplify, 81^1/4

Answers

Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

What is the vertex of the function below?

Answers

Answer:

lol thts 26

Step-by-step explanation:

Find the slope of the line that passes through (9, 6) and (4, 5).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

slope = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )

m = [tex]\frac{5-6}{4-9}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]

basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?

ASAP

Answers

$18.51

Step-by-step explanation:

assuming you dont need the cost per pencil or anything...

pro set: $27.49

basic set: $8.98

subtract basic from pro.

27.49-8.98= $18.51

Answer:

I know this is a little late but your answer is 18.51

Select all of the steps that are possible when solving for x.

5 1/2x + 2/3x = 37
x = 37
x = 6
37x = 6
37/6x = 37
1 1/2x + 2/3x =37

Answers

Answer:

37/6x = 6 and 5 1/2x + 2/3x = 6

Step-by-step explanation:


a=340
rounded to the nearest 10
b=49.8
rounded to 1 DP
Find the minimum of
a x b

Answers

Answer:

  16666.25

Step-by-step explanation:

For rounded values, the minimum value they could have been rounded from is the given value less half its least-significant digit.

That means the minimums are ...

  a: 340 ⇒ 340 -5 = 335

  b: 49.8 ⇒ 49.8 -0.05 = 49.75

Then the minimum product would be ...

  (335) × (49.75) = 16666.25

Two students in Ms. Romean's class are working on
finding the mean for the following set of numbers: 2,
12, 16, 4, 18, 24, 32. Susan states that the answer is
15.4 when rounded to the nearest tenth. She added all
of the numbers and divided by 7. Sam disagrees and
thinks the answer is 54. She added all of the numbers
and divided by 2. Which student is correct? How do
you know? Explain your thinking!

Answers

Answer:

susan is correct

Step-by-step explanation:

2+12+4+18+24+32=108

108 divided by 7=54

my reasoning is that the formula is add all and divide by how many numbers you added

vertically stretched by a factor of 2, then translated
4 units left and 1 unit down

Answers

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

How to write the given transformation?

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.If N is negative, the shift is downwards.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

If you want to learn more about transformations, you can read:

https://brainly.com/question/4289712

Algebra 1? What am I supposed to do it is so confusing

Answers

Answer:

you are basically given an unknown and you try to solve for it. if you need any guidance feel free to ask.

The curve of best fit is given as y = 4 + 3x + 2x2. Find the value of y when x = 2

Answers

Y= 14

X=2 so change the excision to

Y= 4+ 3•2 + 2•2

Do the math for any multiplication

Y= 4+6+4

Add those up And you get

Y= 14

Create a tree diagram to show the different options for the lunch options: Salad Sandwich Soup Tortellini Roast Beef Caesar Macaroni Ham Lentil Turkey​

Answers

Answer:

is there a picture of the answers?

Step-by-step explanation:

also can u help me with my question pls

What shape am i 3equal side each 4cm not right angles

Answers

Answer:

Triangle

Step-by-step explanation:

A regular triangle has equal sides and no right angles. Hope this helps. ^^

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