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

PLEASE HELP!!!!!!! DESPERATE!!!!
Simplify the expression to a + bi form:
√81+√-6-√64+√-150

Answers

Exact Form:
9/8

Decimal Form:
1.125

Mixed Number Form:
1 1/8

PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!PLZ HELP ASAP!!!!

Answers

Answer:

It's A

Step-by-step explanation:

It is A because your adding and going up.

Answer:

c. [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

b = time spent reading

a = pages (book length)

Dividing the time spent reading by the number of pages in the book would result in getting an average reading speed of pages read per minute.

Translate 2x−48 into words. Remember that x means a number.

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The statement of the expression 2x - 48 is,

Forty-eight is subtracted from two times a number 'x'

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A numerical expression 2x - 48 and we have to translate it into words.

Therefore, The statement form of the expression 2x - 48 is,

Forty-eight is subtracted from two times a number 'x'

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Josh buys a shirt on sale for $63. The original price of the shirt was $90. What percentage did he pay for the shirt

Answers

He got the shirt for 30% off

Angela's aunt is two more than three times her age. The total of their ages is 54. How old is Angela and how old is her aunt?

Answers

Answer:

Angela is 13 years old and Angela's aunt is 41 years old.

Step-by-step explanation:

With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:

x=3y+2, where:

x is Angela's aunt age

y is Angela's age

Also, you know that the total of their ages is 54, which is:

x+y=54

Now, you can replace x=3y+2 in x+y=54 and solve for y:

3y+2+y=54

4y=54-2

4y=52

y=52/4

y=13

Finally, you can replace the value of y in x=3y+2 to find x:

x=3(13)+2

x=39+2

x=41

According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble? *

Answers

The probably of getting a green marble is 9/20 and 6/20 red marbles.

Answer:

green  9/20 chance | red 6/20 or reduced 3/10

Step-by-step explanation:

Simplify 3a2 + 4b + 2a2


a2+4b


5a2+4b


It is simplified


9a2b

Answers

I’m not sure but I think d

Select the correct text in the passage.
Which sentence in this excerpt from Jack London’s "To Build a Fire" best shows that the main character regrets his foolish decision to take risks and ignore what others have told him?
The old-timer on Sulphur Creek had told him about it the previous fall, and now he was appreciating the advice. Already all sensation had gone out of his feet. To build the fire he had been forced to remove his mittens, and the fingers had quickly gone numb. His pace of four miles an hour had kept his heart pumping blood to the surface of his body and to all the extremities. But the instant he stopped, the action of the pump eased down. The cold of space smote the unprotected tip of the planet, and he, being on that unprotected tip, received the full force of the blow. The blood of his body recoiled before it.The blood was alive, like the dog, and like the dog it wanted to hide away and cover itself up from the fearful cold. So long as he walked four miles an hour, he pumped that blood, willy-nilly, to the surface; but now it ebbed away and sank down into the recesses of his body. The extremities were the first to feel its absence.His wet feet froze the faster, and his exposed fingers numbed the faster, though they had not yet begun to freeze. Nose and cheeks were already freezing, while the skin of all his body chilled as it lost its blood.

Answers

Answer:

His wet feet froze the faster, and his exposed fingers numbed the faster, though they had not yet begun to freeze.

Step-by-step explanation:

I did the test on edmentum and got it right !!!

Answer: The old-timer on Sulphur Creek had told him about it the previous fall, and now he was appreciating the advice.

Step-by-step explanation:

mark on brainlist

IF YOU KNOW MATH PLS HELP ME

Answers

Answer:

x ≈ 2.55

Step-by-step explanation:

Since the triangles are congruent then DE ≡ AB , that is

DE = AB

76x - 7 = x + 184 ( subtract x from both sides )

75x - 7 = 184 ( add 7 to both sides )

75x = 191 ( divide both sides by 75 )

x ≈ 2.55 ( to the nearest hundredth )

Which perfect square lies between the whole numbers 40 and 50?

Answers

Answer:

The perfect square number between 40 and 50 is 49 which is a square of 7.

Answer: the perfect square that lies between 40 and 50 is 49

pls help me find the absolute value of these
thanks in advance for any help.​

Answers

Answer:

The absolute value or modulus of a real number x (denoted by |x| ) , is the non-negative value of x without regard to its sign.

3) |0| = 0

6) |-7| - |4|

=> 7 - 4 = 3

9) - | -101 | = -101

12) |8| - |-7|

=> 8 - 7 = 1

3+3 lol this is just to give extra points you know hope you guys help me with the actual one

Answers

After a long hard consideration I think it's 6

4a + 3b - 2a - 6b
.. help lol

Answers

Answer:

2a-3b

Step-by-step explanation:

Answer:

2a-3b

Step-by-step explanation:

Combine like terms,

4a-2a, 3b-6b

2a-3b

A taxi travels 2 hours to make a 220 km trip. How fast does it travel?

Answers

He would be driving approximately 110 km an hour

Answer:

= 110 km/h

Step-by-step explanation:

speed = km / 1 hr

distance = 220

time = 2 hrs

speed = 220 / 2 = 110 km/h

(Hope its right!)

pls help I hate math rectangular prism

Answers

Answer:

[tex]352.5cm^{2}[/tex]

Step-by-step explanation:

[tex]A=3Rectangles+2Triangles\\=3*7.5*13.5+2*.5*6.5*7.5=352.5cm^{2}[/tex]

if f(x)=2x^2-5, then what is the remainder when f(x) is diode by x-1

Answers

The first method is where you divide your polynomial by the divisor. Second is the quick and easy way where you just substitute the value for x and get the remainder. Hope it helps

After performing division, the remainder obtained will be equal to -7.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given equation for division in the question,

2x² - 5 is divided by x - 1.

x - 1) 2x² - 5 ( 2x - 2

       2x² - 2x

             = -2x - 5

                -2x + 2

                       = -7

So, the quotient obtained is 2x - 2 and the remainder is -7.

To know more about arithmetic operations:

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help pls I have more ​

Answers

Answer:

Step-by-step explanation:

Answer:

[tex] \frac{5}{10} \times \frac{2}{1} = \frac{10}{10} = 1[/tex]

[tex] \frac{1}{10} \times \frac{8}{3} = \frac{8}{30} = \frac{4}{15} [/tex]

[tex] \frac{2}{6} \times \frac{12}{6} = \frac{24}{36} = \frac{2}{3} [/tex]

[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]

[tex] \frac{1}{5} \times \frac{1}{1} = \frac{1}{5} [/tex]


3. A principal orders 2,592 pencils. She gives an equal amount to each of
the 24 teachers. How many pencils does each teacher receive?

Answers

Each teacher should receive 108 pencils

Please write a 5 sentence summary of fidel castro's life

Answers

Answer:

Fidel Castro, in full Fidel Alejandro Castro Ruz, (born August 13, 1926, near Birán, Cuba—died November 25, 2016, Cuba), political leader of Cuba (1959–2008) who transformed his country into the first communist state in the Western Hemisphere. Castro became a symbol of communist revolution in Latin America. He held the title of premier until 1976 and then began a long tenure as president of the Council of State and the Council of Ministers. He handed over provisional power in July 2006 because of health problems and formally relinquished the presidency in February 2008.

Step-by-step explanation: Hope it helps! Please rate brainliest

Fidel Castro was born in Cuba near the city of Biran, about 750 kilometers from the capital, Havana. Around 30 years after his birth, Castro and a group of men overthrew the previous dictator, Fulgencio Batista, through the use of guerilla warfare. From this point on, Fidel Castro was considered the new leader of Cuba. Castro had a strong belief in the use of communism within his country. These beliefs lead to a stable relationship with Russia, at the same time, a very rugged relationship with America. As life went on and tensions grew the Cuban Missile Crisis was created.

Which of the following best describes AD?
D
А
c
A. Altitude
B. Angle bisector
C. Perpendicular bisector
D. Median

Answers

Answer:

it will option A. Altitude hope it helps

The segment AD in the given triangle describes as Altitude.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given is a triangle ABC.

Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

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The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:

Answers

Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.

The average cost approaches to 12 when the number of shirts increases.

Step-by-step explanation:

Since we have given that

Initial cost for a steamer to apply the declas = $100

Cost of material for  each shirt = $12

Function representing the band's average cost per t-shirt  after x t-shirt are sold is given by:

We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,

For vertical asymptotes , we will make denominator equal to zero.

So, it will be

Thus, vertical asymptotes is x= 0.

Similarly,

For horizontal asymptotes, we first check the degree of both numerator and denominator.

Since we can see that both have the same degree i.e. 1.

So,

So, the horizontal asymptotes is y = 12.

When the number of shirts increases ,The average cost to make a T-shirt approaches is given by

Hence, the average cost approaches to 12 when the number of shirts increases.

Answer:

The vertical asymptote is x = 0

The horizontal asymptote is y = 12

The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.

Step-by-step explanation:

Cameron is on page 21 of his book. He reads 112 pages per minute and wants to read to at least page 84 tonight. The inequality 21+112t≥84 models this situation, where t is time in minutes. Which represents the time it will take Cameron to reach his goal?

Answers

Answer:

t ≥ 0.5625

Step-by-step explanation:

Given:

21 + 112t ≥ 84

112t ≥ 84 - 21

112t ≥ 63

t ≥ 63/112

t ≥ 0.5625

t = time in minutes

HELP NEEDED ASAP! GIVING BRAINLIEST

Answers

Answer:

C (u=5)

B ( angle 4)

Step-by-step explanation:

you know don’t count me on this but i believe it’s angle 7, because Congruent angles are angles with exactly the same measure.

A circular running track is
1/8
mile long. Elena runs on this track, completing each lap in
1/24
of an hour.
What is Elena's running speed, in miles per hour? Type just the number answer..

Answers

Answer:

3 miles per hour

Step-by-step explanation:

Speed is defined as the distance covered per unit time, which can be expressed mathematically as follows;

Speed = Distance/Time

The given parameters are;

The length of the circular running track = 1/8 mile

The time it takes Elena to complete a lap = 1/24 hour

Therefore, we have;

Elena's running speed = The distance Elena completes/(The time it takes Elena to complete the given distance)

∴ Elena's running speed = The 1/8 mile track/(1/24 hour)

[tex]Elena's \ running \ speed =\dfrac{\dfrac{1}{8} \ mile }{\dfrac{1}{24} \ hour } = \left (\dfrac{1 }{8} \times \dfrac{24}{1 } \right ) \ \dfrac{mile}{hour} = \dfrac{24}{8} \ \dfrac{mile}{hour} =3 \ mile/hour[/tex]

Elena's running speed = 3 mile per hour.

Find 15· 2 2/3 using the Distributive Property.

Answers

Answer:

12.67

hope it's helpful ❤❤❤

THANK YOU.

Show how to rewrite 1/2 with the denominator 10.

Answers

5/10 because you multiply the denominator and numerator by 5

Answer:

5/10

Step-by-step explanation:

2 x 5 = 10

you will do the same thing to the top

1 x 5 = 5

so 5/10 = 1/2

A reporter was shot while driving a moving car. Investigators are unsure if the shooting was random or if it was a targeted attack. A tree blocks the visibility of the street after
65 feet, and would likely have been a random attack if the car was farther away when hit. Because the car continued to move after the driver was struck, investigators need to determine the distance the car was away from the building when the shot occurred. Use the information provided to determine the distance of the car.

Answers

Find the scale from the 6 inch height of the triangle on the car to the 30 ft height on the building:

30 feet = 30 x 12 = 360 inches.

360 inches / 6 inches =  60

The scale is 60

Now multiply the base of the triangle on the car by 60 to get the distance of the car from the building:

15 inches /12 inches = 1.25 feet

1.25 feet x 60 = 75 feet.

The car was 75 feet from the building.

Answer:The car was 75 feet from the building.

Step-by-step explanation:

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants two more times. He will use the same amounts of plant food as before . How much plant food will he need? Does he have enough left to do so/ explain your answer using words or numbers

Answers

Answer:

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

Step-by-step explanation:

On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.

Total food bought = 4 1/2 kg

Strawberry feed = 1 2/3 kg

Tomato feed = 1/4 kg

Total food used on Sunday = Strawberry + tomato

= 1 2/3 + 1/4

= 5/3 + 1/4

= (20+3)/12

= 23/12 kg

Total food remaining after Sunday = Total food bought - used food

= 4 1/2kg - 23/12kg

= 9/2 - 23/12

= (54-23)/12

= 31/12 kg

= 2 7/12 kg

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.

Strawberry = 2 × 1 2/3kg

= 2 × 5/3

= 10/3 kg

Tomato = 1 × 1/4kg

= 1/4 kg

Total food needed to feed strawberry two more times and tomato 1 more time

= 10/3 kg + 1/4 kg

= (40+3)/12

= 43/12 kg

= 3 7/12 kg

He will need 3 7/12 kg of food

He has 2 7/12 kg of food left

Therefore, he doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

4 pts
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
6
16
y +1
12
21
24
32
O x = 9
O x = 10
X = 8
11
2

Answers

Answer:

x = 9

Step-by-step explanation:

Corresponding sides are in proportion.  That means that [tex]\frac{x - 1}{6} = \frac{16}{12}[/tex]

12x - 12 = 96

12x = 108

x = 9

By the way, the scale factor is 16/12 = 4/3

The value of x of a polygon is :

x= 9.

"Polygons"

The polygons are similar, so the corresponding sides are in proportion.

x-1/6=16/1212x - 12 = 9612x = 108x = 9

Or By the scale factor is 16/12 = 4/3.

Learn more about "Polygon"

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How many gallons each of 0.5% milk and 3% milk should a dairy farmer combine to
get 7 gallons of 2% milk?

Answers

Answer:

2.8 gallons 0.5% milk

4.2 gallons 3% milk

Step-by-step explanation:

let 'x' = .5% milk

let 'y' = 3% milk

System of Equations:

x + y = 7

.005x + .03y = 7(.02)

I used the substitution method and solved the first equation for y:  y = 7 - x

.005x + .03(7 - x) = .14

.005x + 0.21 - .03x = 0.14

-0.025x + 0.21 = 0.14

-0.025x = -0.07

x = 2.8

7 - 2.8 = 4.2

y = 4.2

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