A rectangle shop in the mall has a perimeter of 36 meters. Its area is 80 square meters. What are the dimensions of the shop?

Answers

Answer 1

Answer:

Length, l = 10 m, breadth = 8 m

Step-by-step explanation:

Let l be the length and b be the width of the rectangle.

The area of a rectangle is given by :

A = lb

80 = lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

36 = 2(l+b)

18 = (l+b) ....(2)

We need to solve equation (1) and (2). On solving we get :

l = 10, b = 8

So, the dimensions of the shop is 10 m and 8 m.


Related Questions

What is the volume of the right triangular prism shown?

for brainlist

Answers

Answer: C

Step-by-step explanation:

Answer:

V = 567 yd³

Step-by-step explanation:

[tex]V = \frac{1}{2} ach[/tex]

[tex]V = \frac{1}{2}(9)(6)(21)[/tex]

V = 567 yd³

The rectangles are similar. What is the value of x?

Answers

Answer:

80

Step-by-step explanation:

30 ÷ 6 = 5

16 × 5 = 80

I hope this helped!

What are the first 3 terms in. t(n)=-2n+7

Answers

Answer:

The first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:

[tex]5, 3, 1[/tex]

Step-by-step explanation:

Given the sequence

[tex]t(n)=-2n+7[/tex]

Here [tex]n[/tex] represents any term number in the sequence

Determining the first term

substitute n = 1 in the sequence to determine the first term

[tex]t(n)=-2n+7[/tex]

[tex]t(1)=-2(1)+7[/tex]

[tex]t(1)=-2+7[/tex]

[tex]t(1) = 5[/tex]

Determining the 2nd term

substitute n = 2 in the sequence to determine the 2nd term

[tex]t(n)=-2n+7[/tex]

[tex]t(2) = -2(2) + 7[/tex]

[tex]t(2) = -4 + 7[/tex]

[tex]t(2) = 3[/tex]

Determining the 3rd term

substitute n = 3 in the sequence to determine the 3rd term

[tex]t(n)=-2n+7[/tex]

[tex]t(3) = -2(3) + 7[/tex]

[tex]t(3) = -6 + 7[/tex]

[tex]t(3) = 1[/tex]

Therefore, the first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:

[tex]5, 3, 1[/tex]

A warehouse has shelves that can hold 8, 12 or 16 each shelf has section holding the same number of skateboards. What is the greatest number of skate boards that can be put in a section

Answers

Answer:

4 skate boards

Step-by-step explanation:

We solve this question using Greatest Common Factor method

We find the factors of 8, 12 and 16

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

Then the greatest common factor is 4.

Thereeft, ,the greatest number of skate boards that can be put in a section is 4 skate boards

Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)

Answers

Answer:

Step-by-step explanation:

Since there are 16 oz in 1 lb, to find the amount in 3 lbs, you would just multiply it by 3

16 · 3 = 48

to find the price you divide the total price by number of oz.

6.95 ÷ 48 ≈ 0.1448

since money is measured in hundreths, you would round up (because thats how money works) so it would be roughly 15 cents. unless your teacher wants you to round down to 14 cents

plssssssssssssssssss hellllllllllp meeeee

Answers

Answer:4b+5=1+5b

Step-by-step explanation: b= 14b I HOPE THIS HELPS AND HAVE A GOOD DAY!!!! And i really do hope this did help.

Arrange these decimals from least to greatest.
6.00
0.56
0.060
0.6
0.056

Answers

Answer:0.056,0.06,0.56,0.60,6~Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

~

You're a beautiful person, and worth so much, no matter your race or gender.

You deserve the world and more, and if I could give it to you, I would!

So please don't let anyone say otherwise, there are so many people in this world who love you, including me.

And if someone can't see your beauty then they're rather blind or you're just too bright for them!

Your amazing and I'm so proud of you for making it this far, so keep on with life, stay strong, and live long because I love you!

(Not in a weird way lol I love and care for everyone genuinely)

Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at

Answers

Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.

Part left to watch = [tex]\dfrac13[/tex]

As per given, we have

[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]

Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.

The lunch special at Manal's Restaurant is a sandwich, a drink and a dessert. There are 4 sandwiches, 2 drinks, and I dessert to choose from. How many lunch
specials are possible?
5 ?

Answers

Answer:

There is 8 possible combinations.

Step-by-step explanation:

4 sandwiches: turkey, ham, cheese, chicken

2 drinks: milk, water

1 desert: cake

possible combinations:

1: turkey, milk, cake

2:turkey, water, cake

3: ham, milk, cake

4: ham, water cake

5: cheese, milk, cake

6: cheese, water, cake

7: chicken, milk, cake

8: chicken, water, cake

Write

[tex] \frac{7}{50} [/tex]

as a percentage.​

Answers

Answer:

14%

Step-by-step explanation:

Percentages are out of 100, and 7/50 = 14/100.

14% because you divide 7 and 50 which gets you .14 and as a percentage it’s 14%

please help picture shown above... which one doesn’t belong and why?

Answers

1st one doesn’t belong because it is the only one with a dot in the 1st quadrant. 2 only negative one that has a dog in the 2 quadrant. 3 only one that has a dot in the 4th quadrant. And 4 only one with a dot in the third quadrant

PLSSSSS HELP ME BEST ANSWER GETS BRAINLIEST

Answers

Answer:

40

Step-by-step explanation:

basexheight= area

8x10= 80

80/2=40

pls brainliest

22.8 units squared is the answer

multiple out and simplify (x+6)(x-2)

Answers

Answer:

x² + 4x - 12

Step-by-step explanation:

(x+6)(x-2)

=> (x*x) + (x*-2) + (6*x) + (6*-2)

=> (x²) + (-2x) + (6x) + (-12)

=> x² - 2x + 6x - 12

=> x² + 4x - 12

So, once you simplify this equation the answer you should get is, x² + 4x - 12.

Hope this helps!

Maybe brainliest?


x squared + 4x -12

Hope it help

What is the value of x?

Answers

all 3 angles of a triangle add up too 180, so 80+55= 135, 180-135 is 45, so the value of x is 45

Answer:

sum of angles in a triangle is 180

so 55+80+x=180

135+x=189

x=180-135

x=45


Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?

Answers

Answer:

$1.98

Step-by-step explanation:

$33.00 x 0.06 = $1.98

Use the grid below to name the point at (4,3)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In the point (4,3), the 4 is x and 3 is y. The x-axis is the bottom line so go up 4 and the vertical line is the y-axis so go right 3. The point where they meet is B.

Hope it helps!

Suppose you were to drop a stone down a well. A falling object obeys the equation s=16(t1)2 , where s is the distance fallen in feet and t is the time in seconds. Sound waves travel at a speed of about 1100 ft/sec, and the time it takes to travel a distance s is t2=s1100 . The total time it takes for you to hear the stone hit the water below equals the time it spent falling plus the time it takes the sound to reach your ear. What is the distance to the water's surface in the well if you hear the stone hit the water 4 seconds after dropping the stone?

Answers

Answer:

228.64 ft

Step-by-step explanation:

Given that the total time, t it takes for you to hear the stone hit the water below equals the time it spent falling, t1 plus the time it takes the sound to reach your ear t2.

Given that t = 4s and t = t1 + t2.

So t1 + t2 = 4  (1)

Also s = 16(t1)² and t2 = s/1100

Thus t2 = 16(t1)²/1000

From (1), t2 = 4 - t1

So 4 - t1 = 0.016(t1)²

0.016(t1)² + t1 - 4 = 0

(t1)² + 62.5t1 - 250 = 0

Using the quadratic formula to find t1,

[tex]t1 = \frac{-1 +/- \sqrt{1^{2} - 4 X -4 X 0.016} }{2 X 0.016}\\t1 = \frac{-1 +/- \sqrt{1 + 0.256} }{0.032} \\t1 = \frac{-1 +/- \sqrt{1.256} }{0.032} \\t1 = \frac{-1 +/- {1.121} }{0.032} \\t1 = \frac{-1 + 1.121 }{0.032} or t1 = \frac{-1 - 1.121 }{0.032}\\t1 = 0.121/0.032 or -2.121/0.032\\t1 = 3.78 s or -66.28 s[/tex]

Since t1 cannot be negative, t1 = 3.78 s

So, s = 16(t1)²

= 16(3.78)²

= 16(14.29)

= 228.64 ft

Help..do not get me wrong..i have to pass this..

Answers

Answer:

Step-by-step explanation:

9/10 is equal to 18/20

3/4 is equal to 15/20

3/5 is equal to 12/20

9/20 is equal to 9/20

The next answer is 6/20 which is equivalent to 3/10

The coldest temperature in New York City was -15 on February 9th 1934, The next day the temperature rose 42 degrees. Write an expression for the temperature on February 10th

Answers

Answer:

27°C

Step-by-step explanation:

The temperature on February 9th 1934 = -15°C

The next day the temperature rose 42 degrees.

We need to find an expression for the temperature on February 10th.

February 10th temperature = -15 + 42

= 27°C

So, the temperature on February 10th is 27°C.

Answer: it would be 42+(-15)

Step-by-step explanation:

Got it right


How many solutions exist for the given equation?
3(x - 2) = 22 - x

Answers

Answer:

X=7  SO JUST 1

Step-by-step explanation:

1 cause x=7
Hope that helped

is -5/12 and irrational or rational

Answers

Answer:

Rational.

Step-by-step explanation:

Since it can be put into a fraction, negative or positive it is clearly rational. Irrational numbers are numbers we can never know the true value because they repeat forever (pi for example)

Answer:

rational number

Step-by-step explanation:

hope this helps...yo

What is the answer to a + b =

Answers

Answer:

a + b

Step-by-step explanation:

Answer:

a+b=ab

Step-by-step explanation:

you have to combine the two variables and multiply them by phi then divide by gamma

What happened to the original demand curve?

Answers

We have to change the numbers in the demand schedule and this will SHIFT the demand curve. If there is an increase in demand ( D) the demand curve moves to the RIGHT. ... A decrease in demand will then shift the demand curve to the LEFT. For each price on the demand schedule, the quantities decrease.

WILL GIVE 100 BRAINLY POINTS Instructions
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1: Writing Expressions: 25(10j + 18 + 5j)
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.
Twenty five times the sum of ten j plus 3 plus j
Part 2: Writing Equivalent Expressions
You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j



Use either the commutative property or combine like terms to create an equivalent expression.
Use the distributive property to create an equivalent expression.
Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?
Choose a method to present your assignment. You may submit your work in a Word Document or you may choose to develop a PowerPoint presentation or video recording of yourself. Use your creativity! Make sure to include the information from all three parts in your Word Document or presentation.

Answers

Answer:

the answer is in PREZI, just search up this question and u will find it : )

by the end of the day Sarah had found 4 shark’s teeth. John found 2 shark teeth .total they found 6 shark teeth .when Sarah and John showed it to their neighbours they paid her 30 dollars the splited the money by 15 dollars for each

the photos is given in order. so write accordingly .

Can anyone help me with this question please.

Answers

Answer:

see explanation

Step-by-step explanation:

∠ 1 = ∠ 4 ( corresponding angles ), then

∠ 1 = 102°

∠ 2 = ∠ 3 ( corresponding angles ), then

∠ 2 = 78°

Someone plz help me I will give brainliest

Answers

It is D because whenever you take away the zero the amount of both numbers would be the same and adding it to the second one would keep it the same. This is a known fact for all decimals the end in zero you can add as many and take away is money but it really only matters as to what the real numbers are they don’t include zero!

Answer:

I think it is D

Step-by-step explanation:

para hacer un postre Carolina necesita 8 ingredientes para el segundo postre necesita 6 ingredientes de los cuáles 4 también entran en el primer postre¿cuántos ingredientes diferente necesita para hacer los dos postre ?​

Answers

Answer:

ocupa 10 ingredientes diferentes

Answer:

ocupa 10 ingredientes diferentes

x(3x - 5) please and 5x(x - 3y) urgent !

Answers

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

Math Is hard please​

Answers

Answer:

60 cubic inches

Step-by-step explanation:

each square is one cubic inch

find the dimensions

height=2 cubic inches

width=5 cubic inches

length=6 cubic inches

finding volume so lenght*width*height, or 2*5*6, which is 60

60 cubic inches

I need help please i'll give brainly ​

Answers

Answer:

145) A

146) C

147) B

148) D

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