a rectangle has a perimeter of 158 cm and the given area of 804 cm^2 Its length is 7 more than five times its width. Write and solve a system of equations to find the dimensions of the rectangle.

Answers

Answer 1
so i'm using the letter l for length w for width p for perimeter and a for area


l = 5w + 7
a = (5w+7) x w

p =2(5w+7) + 2w
= 10w + 14 +2w
p = 12w + 14
158cm = 12w + 14
12w = 144
w = (144/12) = 12

l = 5w + 7
so 5 x 12 + 7 = 67

width = 12cm length = 67cm

proven: area = 804cm^2 which is 12 x 67

hopes that u can understand my workings and that this helps :)



Related Questions

Can you please help?

Answers

What is the question?

Simplify the following expression:
(2a - 3) + (-a + 5)
PLEASE HELP ME

Answers

Answer:

(a+2)

Soo you could solve by removing the parenthesis, then combining all like terms. Then subtract.

Your answer would be 1a+2
Or a+2

need help............

Answers

9514 1404 393

Answer:

  Perimeter: 17 inches

  Area: 8 square inches

Step-by-step explanation:

The ratio of perimeters is the same as the similarity ratio.

  JKLM perimeter / ABCD perimeter = P/68 = 1/4

Multiplying by 68, we get ...

  P = 68/4 = 17 . . . . inches

__

The ratio of areas is the square of the similarity ratio.

  JKLM area / ABCD area = A/128 = (1/4)^2

Multiplying by 128, we get ...

  A = 128/16 = 8 . . . . square inches

__

Perimeter = 17 inches

Area = 8 square inches

evaluate the expression 3^4 divided by (14 - 5) x 2

PLEASE HELP ASAP!

Answers

Answer:

= 18

Step-by-step explanation:

hope this helped

ie +5= 20 are shown below. The first and second steps to solve the equation 5 +55= 20-5 5 5 = 15 Which property was applied in the second step? O Addition Property of Equality O Subtraction Property of Equality Multiplication Property of Equality O Division Property of Equality​

Answers

Answer:

x+8=10

x−4=22

x÷3=6

7x=28

Step-by-step explanation:

George has cut down a 60ft high oak tree. He now wants to chop it into smaller pieces. He first cuts it into two pieces that are both 30ft. And then he continues on into making ten pieces that all are 6ft long before loading them onto his truck.

picture08

By looking at the different pieces of wood we can see that the following holds true.

60=30+30=6+6+6+6+6+6+6+6+6+6

This is called the reflexive property of equality and tells us that any quantity is equal to itself

a=a

We can also use this example with the pieces of wood to explain the symmetric property of equality. This property states that if quantity a equals quantity b, then b equals a.

ifa=b,thenb=a

Or if we use our example

if60=30+30,then30+30=60

Another property that can be explained by this is the transitive property of equality. It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well.

ifa=bandb=c,thena=c

Or in the numbers taken from the oak tree example

if60=30+30

and30+30=6+6+6+6+6+6+6+6+6+6

then60=6+6+6+6+6+6+6+6+6+6

Since we know that 30 + 30 = 20 + 40 and that 30 + 30 = 60 we can substitute 30 + 30 for 20 + 40 and get 60 = 20 + 40. This is called the substitution property of equality.

If a = b, then a can be substituted for b in any expression.George has cut down a 60ft high oak tree. He now wants to chop it into smaller pieces. He first cuts it into two pieces that are both 30ft. And then he continues on into making ten pieces that all are 6ft long before loading them onto his truck.

picture08

By looking at the different pieces of wood we can see that the following holds true.

60=30+30=6+6+6+6+6+6+6+6+6+6

This is called the reflexive property of equality and tells us that any quantity is equal to itself

a=a

We can also use this example with the pieces of wood to explain the symmetric property of equality. This property states that if quantity a equals quantity b, then b equals a.

ifa=b,thenb=a

Or if we use our example

if60=30+30,then30+30=60

Another property that can be explained by this is the transitive property of equality. It tells us that if a quantity a equals quantity b, and b equals the quantity, c, then a and c are equal as well.

ifa=bandb=c,thena=c

Or in the numbers taken from the oak tree example

if60=30+30

and30+30=6+6+6+6+6+6+6+6+6+6

then60=6+6+6+6+6+6+6+6+6+6

Since we know that 30 + 30 = 20 + 40 and that 30 + 30 = 60 we can substitute 30 + 30 for 20 + 40 and get 60 = 20 + 40. This is called the substitution property of equality.

If a = b, then a can be substituted for b in any expression.

what is 4.059 divided by 10,000

Answers

Answer: 0.0004059

Step-by-step explanation:

2x2 + 19 - 8x

What is the value of the expression when x = 6?

Answers

Answer:

the answer is 8 because of the equally

2
Find the area of the parallelogram shown below and choose the appropriate result.
6
10
A 60 square units
B 30 square units
C 16 square units
D 56 square units

Answers

Answer:B

Step-by-step explanation:

The answer is B because you 10*6 which is 60 then 60/2 is 30

The area of the parallelogram is 60 square units.

The correct answer is option (A)

What is parallelogram?

"It is a quadrilateral with opposite sides parallel and opposite angles equal"

What is the area of the parallelogram?

"The area of the parallelogram is: A = base × height"

For given example,

the base of the parallelogram (b) = 6 units

the height of the parallelogram (h) = 10 units

Using the formula of the area of the parallelogram,

⇒ A = b × h

⇒ A = 6 × 10

⇒ A = 60 square units

Therefore, the area of the parallelogram is 60 square units.

The correct answer is option (A)

Learn more about the area of the parallelogram here:

https://brainly.com/question/9148769

#SPJ2

Expand and Simplify
2(x-4)+5(x+3)

Answers

expand by distributing

2x-8+5x+15

combine like terms to simplify

7x+7

what is 2/3 as a decimal rounded to put in a Calculator?

Answers

Answer:

0.66

Step-by-step explanation:

If 400 people in your neighborhood had a cell phone last year and one year later 500 people had a cell phone,
what percent has cell phone ownership increased?

Answers

Amount of increase = 100 users
100/400 = 0.25 = 25%

The Earth has a diameter
of 7,917.5 miles. What is
the distance a plane
would have to fly if it
could fly around the entire
equator?

Answers

Answer:

L = 24,873.6 miles

Step-by-step explanation:

Length of the Circumference

Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

[tex]L =2\pi\cdot r[/tex]

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:

r=7,917.5/2=3,958.75 miles

Assuming a plane flies around the equator at ground level, the distance it would travel is:

[tex]L =2\pi\cdot 3,958.75\ miles[/tex]

L = 24,873.6 miles

-2 [ 3 ( - 2x + y ) + 4 ( -x + 2y ) ] =

Answers

Answer:

20x-22y

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer:

Step-by-step explanation:

Just the answer.

=20x - 22y

Faind the volume of the following Traignular Pyramid. Round to the nearest whole number

Answers

Answer:

V = 317 1/3 cubic units

Step-by-step explanation:

V = 1/3 · Area of Base · Height

V = 1/3 · 1/2(14 x 8) · 17

V = 1/3 · 56 · 17

V = 317 1/3

11+19+12+245+1245+23567=

Answers

wow it’s 25099 just use your calculator lol

What is 6 times 3/22?

Pls answer quick

Answers

Answer: the answer is 9/11

Answer:

9/11

Step-by-step explanation:

reduce numbers with greatest common factor of 2

3×3/11

9/11

early algebra pls help!!

Answers

Answer:

6(4a + 5b) is the answer

The y-intercept of g(x) = f(x + 5) is

Answers

Answer:

Impossible

Step-by-step explanation:

Nothing can be done

Can somebody help me??

Answers

Answer:

1. -72

2. -64

Step-by-step explanation:

it is increasing by 4 so,

-76, -72, -68, -64, -60, -56.

Tina likes to go on distance-learning steam she travels 60 K in 12 seconds what is the constant of proportionality

Answers

Answer:

5

Step-by-step explanation:

Given that:

60km in 12 seconds

Distance α time

Distance = k * time

K = constant of proportionality

Distance = 60 ; time = 12 seconds

60 = 12k

60/12 = 12k/12

5 = k

Constant of proportionality is 5

What is the equation of the line that passes through the point (3, 5) and has a slope
of 2?

Answers

y=2x+b
substitute in the equation with the point to get the y intercept
5=2(3)+b
5=6+b
b= -1
so the equation is :
y=2x-1

hope this helps !

What is the sum of the interior
angle measures of a polygon
that has 15 sides?
Sum = [?]°
Hint: Sum = (n-2)180
Enter
Corporation. All Rights Reserved

Answers

n is the amount of sides
sum=13 times 180 =2340

Can somebody help me with this problem? I'd greatly appreciate it!

Answers

Answer:

-3a²+2ab+b²

Step-by-step explanation:

Answer:

-3a^2 + 2ab + b^2

Step-by-step explanation:

Removing the second parentheses makes no difference to the signs inside because their are preceded by a '+'.

Someone plz help
And plz do the diagram
Giving brainliest

Answers

Sue ran the most, but you yourself need to draw an explanation, just so you know 3/8 is greater then 3/4 and 2/3

Answer:

Mary ran the farthest

Step-by-step explanation:

Look at Diagram :)

As the Diagram shows, Mary ran the farthest!

Hope this Helps!

I am a number between 60 and 100. My ones digit is four less than my tens digit. I am a prime number. Part 1 out of 2What number does Winnie's riddle describe? Complete the explanation. Winnie's riddle describes the number . The digit in the tens place must be 6, 7, 8, or 9, so the number must be ?, ?, ?, or ?. The only prime number is because it has exactly two factors

Answers

Answer:

Only 97 is the one that's prime. The answer to the riddle is 97, so check if 79 is "ones digit is two less than my tens digit".

please follow me my friend

Pleaseeee help me I’m giving brainlist

Answers

Answer:

1 piece of chicken cost 1.25

Drinking one soda means you consumed 100 calories

Step-by-step explanation:

What can you tell about the mean of each
distribution?

A.The average cost of a cat's annual visit is about $23.71 less at A New Leash
on Life Animal Clinic than the average cost for
a cat's annual visit at No Ruff
Stuff Animal Hospital.

B.The average cost of a cat's annual visit is about $23.71 more at A New Leash
on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff
Stuff Animal Hospital.

C.The average cost of a cat's annual visit is about $1.20 less at A New Leash on
Life Animal Clinic than the average cost for a cat's annual visit at No Ruff
Stuff Animal Hospital.

D.The average cost of a cat's annual visit is about $1.20 more at A New Leash
on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff
Stuff Animal Hospital.

Answers

Answer:

e

Step-by-step explanation:

can some one pleaseeee help me ?!?

Answers

1) a=16

a is 16 because 16/4 is 4. 2 plus 4 is 6

5(6p - 3) - 2 = 2(15p - 11) + 5

Answers

Answer:

p = 0

Step-by-step explanation:

step 1 (simplify) : 30p-17 = 30p-17 (add 17 to both sides)

step 2: 30p = 0 (divide both sides by 30)

p = 0

5/21 Marks
You can buy jars of the same jam in two sizes.
Large Jar
Small Jar
440g for £1.54
340g for £1.26
By considering the price per gram, work out
which jar is the best value for money.


Answers

Answer:

large jar

Step-by-step explanation:

large jar= £1.54 (divide) 440= 0.0035

small jar= £1.26 (divide) 340= 0.0037

as the large jar cost less (0.0035 > 0.0037) the large jar is the best value for money

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