Mathematics High School

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

I NEEEED YOUR HELP DOES ANYONE KNOW HOW TO COMPLETE THISSS

Answers

Answer:

4/5

Step-by-step explanation:

Just divide both parts of the fraction by 7

28/7=4

35/7=5

Answer:

4/5

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Divide both the numerator and denominate by 7

28/7=4

35/7=5

Massa says that 540 = 6 = 9. Is he right? Explain how you know using an equation.

Answers

Answer:

i think you have written wrong equation

Step-by-step explanation:

Expand to write an equivalent expression:
-1/4(-8x+12y)

Answers

Answer:

2x-3y

Step-by-step explanation:

-1/4×-8x= 8/4x = 2x

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2x-3y

please help asap i’m failing
The lines shown below are parallel. If the green line has a slope of -3/7, what is
the slope of the red line?

Answers

They look parallel so it should be the same as the green line.

PLSSSSS HELP I BEG YOU I WILL GIVE BRAINLIEST WHOEVER ANSWERS FIRAT AND CORRECT.!!!

Answers

Answer:

WHASTW THE QUESTION?

Step-by-step explanation:

Answer:

um ok first you spell that wrong and put firat

Step-by-step explanation:

Manuel buys 2 shirts at $24 each as well as one pair of pants for $35. He has a coupon for 30% off the shirts. What is the total price he will pay if there is 6% tax?

$58.10

$61.59

$72.72

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Answers

Answer:

Answer is a

Step-by-step explanation:

8. Bir sınıftaki öğrenciler sıralara ikişerli oturduğunda 3 öğrenci
ayakta kalmaktadır. Üçerli oturduklarında ise 1 sira boş kal-
maktadır.
Buna göre sıra sayısını veren denklem hangi seçenekte
doğru olarak verilmiştir?
B) 2x + 3 = 3x - 1
A) 3x + 1 = 2x + 3
C) 2x - 3 = 3(x + 1)
D) 2x + 3 = 3(x - 1)
​

Answers

Answer:

cvp B çünkü o iki kavram birbiriyle eşit

PLEASE HELP!!! DONT IGNORE ME!!!
like right now!
answer this seriously and that will make you deserve this points that i've given just please someone answer this!!! please!! answer it seriously!! or ill s*** you ! HELP!! need it ! (ᗒᗣᗕ)՞
ANSWER IT ALL

THANK YOU❤︎
​

Answers

1. 2x^2-x-15=0
A = 2
B = -1
C = -15

2. 10^2-2x=0
A = 10
B = -2
C = 0

3. x^2–3x-40=0
A = 1
B = -3
C = -40

4. x^2+3x-2=0
A = 1
B = 3
C = -2

5. 4x^2-17x+8=0
A = 4
B = -17
C = 8

Remember the equations should look like Ax^2+Bx+C=0 (in this order!!)

Madison purchased 3 gallons of milk. How many one-cup servings are equivalent to 3 gallons

Answers

Answer:

48 cups

Step-by-step explanation:

there's 16 cups per gallon so 16 x 3

Answer:

48 cups

Step-by-step explanation:

there are apx. 16 cups of milk in one gallon.

16 times 3 = 48

Which pair of expressions has equivalent values?
O 1^13and 1^15
O 6^1 and 9^1
O 7^8 and 8^7
O 9^2 and 4^3

Answers

Answer:

1^13=1^15

Step-by-step explanation:

1 times 1 is always 1

If y varies directly with x, write an equation for the direct variation. Then find each value,
if y = 6 when x =30, find y when x = 15

Answers

Just a guess Bc I’ve no idea what you’re talking abt, but 3. Would set 30/6 and 15/y cross multiply, solve for y and get y =3
I think 3, because 15 is half of 30 and 3 is half of 6. Hope this helps

Kim has $400 in her savings account. If she spends $50, how much will her account decrease?

Answers

Answer:

$350 left lost 50$

Step-by-step explanation:

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Answers

[-9,3]
the domain is determined by the x values


Which of the following combinations of side lengths would NOT form a triangle with vertices X, Y, and Z?

Answers

Answer:

D) because the sum of two sides must be greater than the third side

Step-by-step explanation:

in this 10+14=24 which is not greater than 26

a chef made 30 Donuts in 60 minutes. how long would it take him to make 90 Donuts?​

Answers

Answer:

180 minutes

Step-by-step explanation:

90×60/30= 180

Kelly met Jesse and Liza at The Maxx for breakfast. The
graph shows Kelly's speed during her 12 minute drive.

Answers

Answer:

wheres the graph? thats what we need

Step-by-step explanation:

quivaler
What is the decimal
equivalent for 15_?

Answers

Answer:

1/15

Step-by-step explanation:

Admission to the state fair is $8. It costs an additional $1.50 to go on a ride. Jordan spent a total of $15.50 on admission and rides.
How many rides did Jordan ride?

Answers

Answer:

15.50-8=7.5

7.5/1.50=5

Jordan went on five rides

Evaluate the expression for k = 17.

3k =

Answers

I believe this would be 51

I WILL GIVE YOU BRAINLY PLS


Worth of 19 points

Answers

Answer:

the first one is 201.06ft², second one is 50.27ft

Step-by-step explanation:

have a great day.

Simplify: 10(48 1/4)-3(3 1/4)

Answers

Answer:

472.75 or 472 3/4

Step-by-step explanation:

10(48 1/4)-3(3 1/4) =

10(48.25) - 3(3.25) =

482.5 - 9.75 =

472.75

In fraction form, this is 472 3/4

Help me please explain how you did it too

Answers

Answer:

$112

Step-by-step explanation:

$168 per 12 hours of work

168/12 = 14

$14 per hour of work

14*8 = 112

$112 per 8 hours of work

I hope that this helped

168/12=14 . 14•8= 112

i am pretty sure this is the answer

What is the exact circumference of the circle?
10 ft
20 ft
40 ft
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Answers

Answer:20 ft

Step-by-step explanation:

1 point
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6.1 x 10^13
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Answers

3.1 x 10^11 is the answer

how many square feet of outdoor carpet will we need for this hole?​

Answers

MY WORK:

First, you would cut it up into different parts/shapes

(I cut it up into rectangles)

Then, you would find the area of each.

The bottom rectangle: 10 ( 5 times 2 )

The middle rectangle: 12 ( 6 times 2 )

The top rectangle: 8 ( 4 times 2 )

Lastly, you would add!

10 + 12 + 8 = 30

Therefore, the answer is...

30!

My apologies if this is wrong but I hope I helped a little bit!

PLEASE HELP I DONT KNOW THE ANSWER !! THIS IS ALGEBRA 2

Answers

Answer:

f(g(x)) = (5x)^2 = 25x^2

Step-by-step explanation:

If f(x) = x^2 and g(x) = 5x, then

f(g(x)) = (5x)^2 = 25x^2

A tree grows three feet per year. What happens to the growth of the tree when the number of years changes?
O When the number of years increases, the number of feet decreases.
O When the number of years decreases, the number of feet stays the same.
O When the number of years increases, the number of feet increases.
O When the number of years decreases, the number of feet increases.

Answers

Answer:

The tree will keep growing each year 3 feet.

Answer:

Your Answer is When the number of years increases, the number of feet increases

HELP PLS ASAP



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Answers

Answer:

a = -12

Remember that when a variable is times with a number, you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you. Thank you !!

using the properties of the special parallelogram, solve for x and y

Answers

Answer:

y = 4

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Step-by-step explanation:

boom roasted.

AB=
Round your answer to the nearest hundredth.
A
20
?
B
3
C

Answers

Answer:

AB= 8.77

AC= 8.24

angle a= 70

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