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

OLEASE HELP I BEG YOU

Answers

Answer:1 is the remainder hope it helps

Answer:

This is pretty easy the dividend is 34,465 and the divisor is 6 and whatever the answer is will be the quotient

Step-by-step explanation:

hope this helps :>

What is the volume of a cylinder with a radius of 4 yards and a height of 6 yards

Answers

Answer: 230. 58 m^3


Explanation: V=πr2h=π·3.662·5.49≈230.58431


Hope this is right

Answer:

301.59 yards

Step-by-step explanation:

theres another answer choice thats four but it got cut out please help pretty easy question

Answers

Answer:

We conclude that:

f(g(3)) = 2

Hence, option B is correct.

Step-by-step explanation:

Given the f(x) table

x         2          3            4          5

f(x)      0           1             2         3

Given the g(x) table

x         1           2           3            4

g(x)      1           2            4           8

We need to determine f(g(3)).

In order to determine f(g(3)), first, we need to determine g(3)

It is clear from the table of g(x),

at x = 3, g(3) = 4

so

f(g(3)) = f(4)

Now, we need to check the value of f(4) at x = 4 using the table f(x)

It is clear from the table of f(x),

at x = 4, f(4) = 2

Thus,

f(g(3)) = f(4) = 2

Therefore, we conclude that:

f(g(3)) = 2

Hence, option B is correct.

The angular speed for a Wind turbine with blades turning at a rate of 19 revolutions per minute is

Answers

Answer

The answer to the question is 3.157 revolutions per second.

Step-by-step explanation:

The reason is because speed is the distance the object travels in a second.

So, we know that the wind turbine is moving 19 revolutions per minute, so therefore to find the number of rotations the wind turbine is doing per second we have to do 60/19 because there is 60 seconds in a minute.

Therefore, if we do that equation we get the answer, as 3.157 revolutions per second!

I hope this answer helps!

Matt was given $14 for a good report card. He now has $23. How much money did he start with?

Answers

Answer:

9 dollars

Step-by-step explanation:

do 14 - 23

$9. $23 minus the $14 he was given equals $9.

The temperature dropped 20 degrees from noon to midnight. The temperature at midnight was 24°F. Write and solve an equation to find the temperature at noon?

Answers

x - 20 = 24

Add 20 to both sides

x = 24 + 20 = 44

the grocery bill is $76.00 what is the total bill with a 7% sales tax?

Answers

Answer:

the correct answer is 81.32

Step-by-step explanation:

76 times .07 is 5.32 plus 76 is 81.32

Answer:

81.32

Step-by-step explanation:

Take the cost of the item ($76.00) and and multiply it by the percentage as a decimal (0.07) to get your sales tax (5.32)

A system of equations is shown below. y = 2x - 9 y = x + 3 What is the solution to the system of equations?​

Answers

Answer:

Well, you would need to graph both, and you can see they intersect at the point (12,15)

THE QUESTION IS ABOVE​

Answers

Answer:

The box would be 14

Step-by-step explanation:

It would be 14 because 7/14 is equal to 1/2. And 2/4 is also equal to 1/2.

Answer:

7/14

Step-by-step explanation:

Have a nice day.....

Please help will mark Brainlist
Refer to the figure at the right. Write a proof
that shows AB || ED.

Answers

Answer:

We can see the two triangles ABC and EDC are similar and their sides are proportional.

4 to 8, 6 to 12, 5 to 10

You could say,

1. ABC ~ EDC -- SSS criterion

2. ∠A = ∠E -- CPCTC

3. AB || ED -- Alternate Interior Angles Converse

Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm

14 cm

Answers

Answer:

1,330.5 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

Where,

r = ½ of 11 = 5.5

h = 14 cm

Plug in the values

Volume = π × 5.5² × 14

Volume = π × 423.5

Volume = 1,330.5 cm³ (1 d.p)

A pair of sneakers which normally costs $80 is on sale for $65. What is the percent markdown for the pair of sneakers?

Answers

Answer:

Your answer

18.75% discounted

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Brock divided all of his games into 3 shelves, and there were at least 12 games on each shelf. What inequality matches this scenario

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Brock divided all of his games into 3 shelves, and there were at least 12 games on each shelf.

The inequality that matches this scenario will be:

x ≥ 12.

Since there were at least 12 games, we would use the greater than or equal to sign.

Easy! What is -6^2? The calculator says -36, but -6*-6 is 36. Confusing.

Answers

It would be 36. Cause 2 negatives cancels out

You entered;

[tex]-6^{2}=(-1)(6)(6)=(-1)(36)=-36[/tex]

In order to get the answer that you intended;

[tex](-6)^{2}=(-6)(-6)=36[/tex]

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

Answers

Answer:

2x-3y

Step-by-step explanation:

-1/4×-8x= 8/4x = 2x

-1/4×12y= - 12y/4 = -3y

2x-3y

Can someone walk me through this?

Answers

Answr :

I hope my answer is correct

m<Jmk = m<HML. m<HJL=m<KHJ

m<JKH=m<JHL m<LHK=m<JLH

m<HLK = m<HJK. m<JLK= m< HJL

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

Answers

Answer:

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

please help me pleeeeeeaaassseee

Answers

Answer:

Step-by-step explanation:

answer no 3:

1] Factor out the common term 2.

2(3x+y) = -26

2] Divide both sides by 2.

3x+y= -26/2

3x+y = − 13

 

3]Subtract y from both sides.

3x = - 13-y

4] Divide both sides by 3.

x = -13-y/3

Part 2:-

Add 6y to both sides.

x=21+6y

x=21+6y

​  

If Amy has 10 quarters, 10 dimes, and 10 nickels what percent of her MONEY is in dimes?

Answers

Answer:

%0.13

Step-by-step explanation:

10 quarters= $2.5 which is 25 dimes

10 nickels= $0.5 which is 5 dimes

10 dimes= $100

100+25+5= 130 dimes = $13

13/100 = %0.13  

the answer choices are
a. 32m
b. 225 m
c. 5 m
d. 15 m

Answers

Answer:

d. 15 m

Step-by-step explanation:

hypotenuse (h) = 25 m

base (b) = 20 m

perpendicular (p) = ?

By using Pythagoras theorem we get

p = √h² - b²

= √ 25² - 20²

= √ 225

= √ 15²

= 15 m

Hope it will help :)

Answer:

15

Step-by-step explanation:

according to pythagoras:

25^2 = 20^2 + 15^2

2/5 of 2/3

What’s the answer to this? I’m failing math and I kinda forgot how to do fractions lol

Answers

Answer:

4/15 is your answer my friend

Step-by-step explanation:

Answer:

when the equation says of, all you need to do is multiply the two numbers, so the answer is 4/15

------

Find the value of (-15/8 + 1.5) = (15 – 14 3/4)? *
-3/2
0 -3/32
O 3/32
O 3/2

Answers

Answer:

OKey

Step-by-step explanation:

its 16,2341242112

Des Moines and Cedar Rapids, IA 16.27 cm on the map with a scale of 2 cm = 15 mi

Answers

Bonjour, je ne aime mathematic je ne vous save

an Italian restaurant buys 15 pounds of onions every 2 weeks. how many bags of onions will the restaurant buy in 7 weeks?

Answers

Answer:

45

Step-by-step explanation:

This is a trick question. Since they only get three purchases in by 7 weeks, the answer will be 15 times 3 or 45.

(If I'm wrong and it's not a trick question, then it's 15 times 3.5 or 52.5)

Hope this helps!

Evaluate 14 + (-2). (1 point)
O
16
-16
O
-12
12

Answers

the answer to 14+(-2) is 12

whats the answer to


-7y=7x+21

Answers

Answer:

y = -x - 3

x = -y - 3

Step-by-step explanation:

If solving for y,

-7y = 7x + 21

-y = -x + 3 (dividing everything by 7)

y = -x - 3

If solving for x,

-7y = 7x + 21

-y = -x + 3

x = -y - 3

The perimeter of a rectangular pool is 72 meters. If the length of the pool is twice its breadth. Its length is_________.

Answers

Answer:

Length = 18 meters

Step-by-step explanation:

Let the length of the rectangular pool = l meters

And breadth of the pool = w meters

Perimeter of the rectangular pool = 2(l + 2w)

Since, perimeter of the rectangular pool is 72 meters.

2(l + 2w) = 72

l + 2w = 36 --------(1)

If length of the pool is twice of its breadth,

l = 2w

w = [tex]\frac{l}{2}[/tex] -------(2)

By substituting the value of 'w' from equation (2) to equation (1),

[tex]l+2\times{\frac{l}{2}}=36[/tex]

2l = 36

l = 18 meters

One angle of a triangle measures 75. The other two angles are in a ratio of 5:16. What are the measures of those two angles?

Answers

Answer:

25 and 80

Step-by-step explanation:

180 - 75 = 105

105 / (5+16) = 5

multiply each side of the ratio 5:16 by 5

5x5 : 16x5 = 25:80

Jane moved from a house with 66 square feet of closet space to an apartment with 37.62 square feet of closet space. What is the percentage decrease of Jane's closet space?

Answers

Answer:

Step-by-step explanation:

Which table could NOT represent a function?


input 0 1 2 3 4
output 2 4 6 8 10

input 30 40 50 60 70
output 21 11 -1 -11 -21

input 4 9 14 19 24
output 10 12 14 16 18

input -10 -10 0 0 10
output 8 16 24 32 40

Answers

Answer:

The fourth one

Step-by-step explanation:

Just cause its right

The last one is correct because the x repeats
If the x repeats it’s not a function
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