A rectangular city lot has an area of 1000 square meters. If the length of the lot is 10 meters more than twice its width, find its length and width.

Answers

Answer 1

Answer: l=50 m, w=20 m

Step-by-step explanation:

Given

A rectangular city has an area of [tex]1000\ m^2[/tex]

Also, length is 10 m more than twice its width

suppose width is w

So, length is given by

[tex]\Rightarrow l=10+2w[/tex]

The area is given by

[tex]\Rightarrow A=l\times w\\\Rightarrow 1000=(10+2w)\times w\\\Rightarrow 2w^2+10w-1000=0\\\Rightarrow w^2+5w-500=0\\\Rightarrow w^2+25w-20w-500=0\\\Rightarrow (w+25)(w-20)=0\\\therefore w=20\ m\\l=10+2w=10+2\times 20=50\ m[/tex]


Related Questions

If the simple interest on $7,000 for 2 years is 980, then what is the interest rate?

Answers

Answer:

7%

Step-by-step explanation:

since the formula says si=ptr/100

so we have to separate r which gives us r =(i ×100)/(p×t)

now putting the values (980×100)/(7000×2)

=7

therefore the rate of interest is 7%

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!

Answers

Step-by-step explanation:

since they are in order points p and q are in the middle and points O and R are on the end so they say that OR=36 since you don't know the exact lengths of all of the lengths in the middle from O to R then you multiply 5,6 and 1 by x and add

5x+6x+1x=12x

so then the whole length is equal to the ratio of 12x and also 36 so set those to equal each other

12x=36

x=3

so that is just the ratio and since they are asking for the length of O to Q that means that it is just 5x+6x=OQ

11x=OQ

insert x=3

33=OQ

Hope that helps :)

what is 3+3+3+3x7x9+4+2+7+6+3-5+5-5

Answers

Answer:215

Step-by-step explanation:

Answer:

Your answer is 215

Explanation:

Simplify 3\times 73×7 to 2121.

3+3+3+21\times 9+4+2+7+6+3-5+5-5

3+3+3+21×9+4+2+7+6+3−5+5−5

implify 21\times 921×9 to 189189.

3+3+3+189+4+2+7+6+3-5+5-5

3+3+3+189+4+2+7+6+3−5+5−5

Simplify 3+33+3 to 66.

6+3+189+4+2+7+6+3-5+5-5

6+3+189+4+2+7+6+3−5+5−5

4 Simplify 6+36+3 to 99.

9+189+4+2+7+6+3-5+5-5

9+189+4+2+7+6+3−5+5−5

5 Simplify 9+1899+189 to 198198.

198+4+2+7+6+3-5+5-5

198+4+2+7+6+3−5+5−5

6 Simplify 198+4198+4 to 202202.

202+2+7+6+3-5+5-5

202+2+7+6+3−5+5−5

7 Simplify 202+2202+2 to 204204.

204+7+6+3-5+5-5

204+7+6+3−5+5−5

8 Simplify 204+7204+7 to 211211.

211+6+3-5+5-5

211+6+3−5+5−5

9 Simplify 211+6211+6 to 217217.

217+3-5+5-5

217+3−5+5−5

10 Simplify 217+3217+3 to 220220.

220-5+5-5

220−5+5−5

11 Simplify 220-5220−5 to 215215.

215+5-5

215+5−5

12 Simplify 215+5215+5 to 220220.

220-5

220−5

13 Simplify.

215

Algebraically find the inverse for each of the following equations
A. y = 3x-8
B. y = 1/2x+6
C. y = x+6/2

Answers

Step-by-step explanation:

A. y= 3x -8

x = 3y -8

3y = x +8

y = (x+8)/3

B x = 1/2y +6

1/2y = x-6

y = 2x - 12

C x = y + 6/2

y = x - 6/2

If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 13 cm, find the length of the longer leg.

A.) 5 cm B.) 13 cm C.) 13 cm D.) 102 cm

If a right triangle has a hypotenuse of the length 15 units and a leg of length 9 units, what would be the length of the other leg?

A.) 13 units B.) 15 units C.) 14 units D.) 12 units

In a computer catalog, the diagonal distanc3 of a computer monitor screen is labeled as 21 inches. If the screen measures 14 inches in height, what is the width of the screen?

A.) 345 in B.) 261 in C.) 245 in D.) 10 in

The shortest path from point A to point B goes through a pond. To avoid the pond, you must walk straight 23 meters along one edge of the pond, then take a 90 degree turn, and again walk straight 57 meters along another edge of the pond to reach point B. If you could walk through the pond, what would be the distance from point A to point B?

A.) 24 M B.) 80 M C.) 2720 M D.) 3778 M

A boy is flying a kite. The length of the string is 61 meters and the horizontal distance between the boy and the kite is 60 meters. assuming there is no slack in the syring, find the height of the kite from the ground.

A.) 165 M B.) 179 M C.) 50 M D.) 11 M​

Answers

Answer:

1. B

2. D.

3. C

4. B (again srry xd)

5. and lastly A

(i am not sure about the last one tho)

Step-by-step explanation:

Awesome Autos creates the following advertisement to compare the prices of its used cars to those of Cool Cars. Which statement best explains how Awesome Autos misrepresented the data? (could someone please help)

Answers

1

Step-by-step explanation:

Answer: A. The graph for Awesome Autos does not begin at 0 and makes its prices appear less than those of Cool Cars.

Roberto paid $1.65 per pound for 4.5 pounds of strawberries. How much did he spend?

Answers

Answer:

Roberto paid $7.43 cents.

Step-by-step explanation:

1.65 times 4.5=7.425

I rounded 7.425 to 7.43 giving you your final answer.

Answer: $7.43

Step-by-step explanation: The easy way to do this with a calculator is 1.65 times 4.5 which is 7.425, estimated to $7.43. However, if you aren't allowed to use a calculator, you can just do 1.65 times 4.5 on paper for showing work. If you don't know how to times a decimal between a decimal, you can see how much money is per pound than times that by 4.5.

The cafeteria serves pizza every 10 days and corn every 4 days. If they are serving pizza and corn today, in how many days will they serve them together again?

Answers

Answer:

Well it would be 100 days

Step-by-step explanation:

Because they had pizza every ten days and if you add 5 days a week that's 50 days they sell pizza. If your talking corn they sell it every 4 days times 5 days a week that's 20 days of corn. Then you do 50 x 20 and then you get 100 days of pizza and corn, so it would be 100 days before they sell pizza and corn together again!

Question: Find the perimeter and area of the rhombus.​

Answers

answer:

perimeter- 12

area- 4.5

step-by-step explanation:

perimeter-

p=4a

=4*3

=12

area-

a=pg/2

=3*3/2

=4.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

can someone help me with this

Answers

Answer:

D

Step-by-step explanation:

hr to the right of way to the best of my knowledge of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am not a fan of this year old and a to his the

An office has an area of 120m² and it is 12m wide. Write an equation to represent the area.

Answers

Answer:

Step-by-step explanation:

12y =120   y : the lenght

Mr.Robin assign 3/4 hour of homework each day to his students for 4 days in a row. How many total hours of homework does Mr.Robin assign his students?​

Answers

3/4 of an hour is 45 minutes. Multiply 45 by 4. You get 180 minutes. Divide by 60 and Mr. Robinson gives his students a total of 3 hours of homework over the course of 4 days.

Two angles are complementary. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 20)°. What is the value of x? pls help asap

Answers

Answer:

x = 17.5°

Step-by-step explanation:

complementary means their sum is 90°.

x + 3x + 20° = 90°

4x = 70°

x = 17.5°

please anybody can help me to solve this question btw im from malaysia but the questions have the eng subtitle so you can read the eng subtitle, no worries! please help me to answer the questions ​

Answers

13x-2 is the answer to the question

2. Which graph represents y = 3x2 - 1? (EBF.3)
F.
H.
Cyax² + c
G.
1.
3-2-1
12
y
ax?
23

PLEASE HURRRRRRRY! Also please answer in words and how work and attach photo but not a website/file like bit/ly because I can’t use those! Thank you :)

Answers

Here is the answer buddy
231.34

Answer:

G. 3x²-1

.......................

The following is a list od the heights of students in Molt's class
in inches.
67, 68, 61, 69, 63, 71, 68, 71, 67, 74, 65, 73, 71, 72 and 65

What is the interquartile range of the heights

Answers

Answer:

6

Step-by-step explanation:

What are the ages? I really need help ;-;

Answers

I have no idea sorry s

At Penny's Pie Shop, it costs $4 for
1
4
of a pie. What is the cost of a whole pie?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

$16

Step-by-step explanation:

$4 for 1/4 of a pie, means that it isn't an entire pie. Luckily for us, this is simple multiplication. You would multiply like so:

4 x 4 = 16

And you'd get your answer, since 4/4 equals 1 whole.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

A line has a slope of 1 and passes through the point (-4,1). What is its equation in
slope-intercept form?

Answers

Answer:

y = 1x + 5

Step-by-step explanation:

y = 1x + b

1 = 1(-4) + b

1 = -4 + b

5 = b

y = 1x + 5

The total cost of an $85.73 meal with a 20% tip

Answers

Answer:

$102.9

Step-by-step explanation:

20% of 85.73 is 17.15

to finish, you’ll just need to add 85.73 with 17.15 to get you answer,

the total cost of the meal is $102.9

brainliest? ..if you don’t mind

Answer:

$102.876 or $102.88

Step-by-step explanation:

20%/100=0.20

85.73*0.20=17.146

85.73+17.146=102.876

ILL GIVE BRAINIEST IF SOMEONE CAN HELP

Answers

Hope this helps !!! Have a good one

Help me plz! : ))) thnx whoever does

Answers

it’s A

after ordering the the numbers from least to greatest

the median of list 1 is 4

the median for list 2 is 9

so 9-4=5

The gym class has 27 students and 3 soccer balls. What is the ratio of students to soccer balls? O A. 27: 1 O B. 24: 1 O C. 30 : 3 O D. 9:1 E. 24 : 3​

Answers

I think that the correct answer is D. 9:1. I hope this helps!!! :)

It costs Jorri $6.25 to purchase a 1 week (5 day) lunch card at school. Last month there were only 18 school days. Which equation represents how much money Jorri spent on lunch last month, assuming she bought lunch every day there was school?
SOMEONE PLEASE HELP ME

Answers

Answer:

22.50

Step-by-step explanation:

So what i did is times 5 by 3 to get 15 right?

And then you have 3 days left over so to find out how much it costs per day i divided 6.26 by 5 days and got 1.25

so i times 1.25 by the extra 3 days

which you get 3.25

and with the other 15 days you just times 6.25 by 3 because we already know every 5 days is 6.25 if this makes sense to you

Brainliest plz if its right!

What are the next 3 numbers in the sequence? 2, 4, 9, 18, 23, 46, 51

Answers

Answer:

         102, 107, 214

Step-by-step explanation:

2

4 = 2×2

9 = 4 + 5

18 = 9×2

23 = 18 + 5

46 = 23×2

51 = 46 + 5

        51×2 = 102

       102 + 5 = 107

       107×2 = 214

Which two expressions are equivalent?

Answers

Answer:

7(x+8) and 7(x) + 7(8)

Step-by-step explanation:

Answer:

none are correct but d is I think the answer

Step-by-step explanation:

becuase of the way you are suppose to do the work

determine the speed in metres per second if it takes 10 minutes to walk 1,2 kilometre​

Answers

Step-by-step explanation:

[tex]speed = \frac{distance}{time} \\ = \frac{(1.2 \times 1000)m}{(10 \times 60)s} \\ = \frac{1200m}{600s} \\ = 2 \frac{m}{s} [/tex]

What operation do we use to solve unit rate?
FAST PLEASE

Answers

Answer:

Step-by-step explanation:

Calculator Use

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Answer:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Help? Pleaseee! : ))

Answers

Answer:

A.) 1.2

Step-by-step explanation:

The answer is A I would say

Can you help me on algebra?

Answers

Answer:

the answer is :c^5 b^3

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