the length of a rectangle exceeds its breadth by 4 cm. if the area of the rectangle is 96cm squared . find the length and breadth

Answers

Answer 1

Answer:

length=12; breadth=8

Step-by-step explanation:

l=w+4

w(w+4)=96

w²+4w-96=0

(w+12)(w-8)=0

width=8

length=w+4=12

Answer 2

Answer:

length=12; breadth=8

Step-by-step explanation:

Hope this helped have an amazing day!


Related Questions

solve for x
3(x - 2) = 6x - 12

Answers

Answer:

The answer is 2

Step-by-step explanation:

Here's how I got it:

3(x - 2) = 6x - 12

Multiply 3 times x and 3 times 2, this is what you would get

3x - 6 = 6x - 12

Then, subtract the lowest x with the bigger X, this way you would have x on one side:

3x - 6 = 6x - 12

-3x        -3x

This is what you should have after this:

-6 = 3x - 12

Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:

-6 = 3x - 12

+12        +12

You would get this:

6 = 3x

Finally, you have to get x by itself, so you have to divide 3 on both sides like this

6/3 = 3/3 x

That's why, your answer is 2

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool? Explain or show your reasoning.

Answers

Answer:

2

Step-by-step explanation:

the area of the radius 30 is 2827 and since 1 bucket can cover 1800 we will only need 2 buckets because we need a total of 2827 and 1 bucket covers 1800 so 2 buckets will cover 3600.

The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2 and this can be determined by using the unitary method.

Given :

A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.

First, find the value of the area of the bottom of the pool. And it can be determined by using the below formula:

[tex]\rm Area = \pi r^2[/tex]

Area = 2827.43 square feet

Now, if one gallon of paint covers 300 square feet then 2837.43 square feet area covers by:

[tex]=\dfrac{2827.44}{300}\times 1[/tex]

= 9.43 gallons of paint

So, to cover the whole bottom area of the pool with paint then the amount of paint required is 9.43 gallons.

Now, if one can contain 5 gallons of paint then 9.43 gallons of paint is contained by :

[tex]=\dfrac{9.43}{5}[/tex]

= 1.886 [tex]\approx[/tex] 2

The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2.

For more information, refer to the link given below:

https://brainly.com/question/23368125

Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?

Answers

Answer:

4 minutes and 32 seconds

Step-by-step explanation:

card $20.00-money left over $15.68            $20.00-$15.68  4.32

Find the unit rate.

625 revolutions in 223 seconds

The unit rate is revolutions per second.

Answers

Answer:

2.80 revolutions / second to the nearest hundredth.

Step-by-step explanation:

625/223

= 2.803.

16. If 3x2 = 2y = 12, what is the value of x2y

Answers

3 times 2 is 6 so then you have to divide and 6 time 2 is twelve so the answer is 2

Y=2

What is the mean absolute deviation of the following set of data 4 6 2 8

Answers

Answer:

srry i really need points

Step-by-step explanation:

Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn​

Answers

Answer:

you're question is complicated

Step-by-step explanation:

Answer:

u

Step-by-step explanation:

hb

Annual cost of insurance: $3,570. Employer pays 70 percent. 12 pay periods. Find the cost per pay period.

Answers

answer: $208.25

70% of $3,570 is $2,499

$2,499/12 is 208.25

Examine the diagram, and answer the question.

The points A(2,7)
and B(−4,−3)

are located in the coordinate plane as shown.

Points A and B are shown in the coordinate plane at the locations indicated.

© 2016 StrongMind. Created using GeoGebra.
What is the approximate distance between the two points?
15.6
7.3
6.7
11.7

Answers

9514 1404 393

Answer:

  11.7

Step-by-step explanation:

GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.

__

The distance formula is used for this:

  d = √((x1 -x1)² +(y2 -y1)²)

  d = √((-4-2)² +(-3-7)²) = √(36 +100)

  d = √136 ≈ 11.7

_____

Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.

What is the area of rectangle WXYZ?

A. 4 square units
B. 7.5 square units
C. 10 square units
D.15 square units

Answers

Answer
C. 10 square units
The answers is 10 ......

The diameter of a cookie is 2 inches. If IT = 3.14, what is the area of the cookie, rounded to the nearest tenth?
A
39.4 in.2
B
9.9 in.2
с
3.1 in.?
D
6.3 in.2

Answers

Your answer is either A or D mainly d

2 x (3^3-5+8) pemdas

Answers

Answer:

60

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define Expression

2 × (3³ - 5 + 8)

Step 2: Evaluate

[Parenthesis] Exponents:                    2 × (27 - 5 + 8)[Parenthesis] Subtract:                        2 × (22 + 8)[Parenthesis] Add:                               2 × 30Multiplication:                                      60

What do you call a cow with no legs?

BRAINLIEST IF YOU CAN TELL ME WHO THE GOAT IN BASKETBALL IS

15 POINTS

Answers

Answer:

a burger

Step-by-step explanation:

because the cow is made into a burger lol

One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake

Answers

Answer:

1/8

Step-by-step explanation:

One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.

Answer:

Each person will get 1/8 of the whole cake but 1/4 of half of the cake.

Step-by-step explanation:

Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.

The number of sweets s that each friend gets is the number of sweets in a box n divided by the number of friends f the sweets are shared between. Enter a formula for the number of sweets each friend gets and enter the number of sweets each friend gets if there are 60 sweets and 12 friends.

Answers

Answer:

The number of sweets each friend gets = 5

Step-by-step explanation:

The number of sweets s that each friend gets = the number of sweets in a box n ÷ number of friends f the sweets are shared between

s = n ÷ f

s = n/ f

if there are 60 sweets and 12 friends.

That is,

n = 60 sweets

f = 12 friends

Find s,

s = n/ f

= 60 / 12

= 5

s = 5 sweets

The number of sweets each friend gets = 5

I need help with this question! ​

Answers

2. Jayden ran a whole mile in one hour

Answer:

1: 3 miles

2: 1 mile

Step-by-step explanation:

Cuál sería la respuesta a esto? La señora María obtuvo un préstamo de 5 millones otorgado por un banco, para devolver el préstamo pagará un interés del 3% anual durante 3 años ¿ Qué proceso se debe realizar para saber cuántos guaraníes de interés pagará por el préstamo?

Answers

Answer:

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

Step-by-step explanation:

Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.

El modelo de interés compuesto es representado por la siguiente fórmula:

[tex]C(t) =C_{o}\cdot (1+r)^{t}[/tex] (1)

Donde:

[tex]C_{o}[/tex] - Cantidad de dinero a prestar, medida en guaraníes.

[tex]r[/tex] - Razón de interés interanual, adimensional.

[tex]t[/tex] - Anualidad, medida en años.

[tex]C(t)[/tex] - Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.

Si sabemos que [tex]C_{o} = 5.000.000[/tex], [tex]r = 0.03[/tex] y [tex]t = 3[/tex], entonces la cantidad de dinero asociada al término del período de préstamo es:

[tex]C(3) = 5.000.000\cdot (1+0.03)^{3}[/tex]

[tex]C(3) = 5.463.635[/tex]

Finalmente, la cantidad de dinero a pagar por concepto de intereses es:

[tex]\Delta C = 5.463.635-5.000.000[/tex]

[tex]\Delta C = 463.635[/tex]

La señora María debe pagar 463.635 guaraníes por concepto de intereses,

How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side length of 9 meters?

Answers

Answer:

12 meters

Step-by-step explanation:

Area of square = 144 Sq m

[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]

Ashley has $200 in a savings account that earns 4% interest per year. Which is closest to the amount that will be in her account after 5 years if no withdrawals or deposits

Answers

Answer:

Ashley will save $240.

Step-by-step explanation:

First we convert 4% into a decimal, 0.04.

The formula for solving for interest is A = P(1 + rt).

$200(1 + 0.04 × 5) = $240

This interest is $40, and our full amount is $240.

Answer:

Ashley will save $240.

Step-by-step explanation:

First we convert 4% into a decimal, 0.04.

The formula for solving for interest is A = P(1 + rt).

$200(1 + 0.04 × 5) = $240

This interest is $40, and our full amount is $240.

2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.

Answers

Step-by-step explanation:

Please gimme brainliest

I hope it's correct

A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?

Answers

Answer:

280 km

Step-by-step explanation:

Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say [tex]b_2[/tex],  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.

The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km

[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]

and the distance traveled by the second bus, [tex]d = 80t[/tex] km

[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]

Now, equation the equation (i) and (ii), we have

[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]

Hence, both the bus will meet at a distance of 280 km from the station.

Elaine and Kasmir share a $2500 prize in the ratio 3:2. How much money should they each receive?

Answers

Whoever is to receive more (the 3 in the ratio) should receive $1,500 and whoever is to receive less (the 2 in the ratio) should receive $1,000.

Write the product, and then write the expression in standard form by removing parentheses and combining like terms.
Justify each step.
A. The multiplicative inverse of 1/5 and (2x - 1/5)

Please help!!!

Answers

Step-by-step explanation:

please see it my steps to work this problem

Answer:

IG it is 2

Step-by-step explanation:

ur acc got something hahhah

I need help on this question

Answers

Answer:

175.4379

Step-by-step explanation:

Hope this helps. :)

Which expression is equal to the expression below?
(7•2)^7



A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7​

Answers

Answer:

c

Step-by-step explanation:

B is the correct answer

PLEASE HELP, WILL GIVE BRAINLIEST!!

Answers

Answer:
55

Explanation:
21 + 34 = 55

what does 49 + 2y equal when you means 24? ​

Answers

Answer:97

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

if y = 24, then 2y = 24 * 2

24*2 = 48

48 + 49 = 97

Hope this helps! :)

The length between points on a map is 3 inches, 7 inches, and 10 inches. If the scale is one inch equals 25 miles, what are the distances in miles? 3 inches is miles 7 inches is miles 10 inches is miles

Answers

9514 1404 393

Answer:

3 inches ⇒ 75 miles7 inches ⇒ 175 miles10 inches ⇒ 250 miles

Step-by-step explanation:

Each inch is 25 miles, so the number of miles is 25 times the number of inches.

  3 in ⇒ (3×25 mi) = 75 mi

  7 in ⇒ (7×25 mi) = 175 mi

  10 in ⇒ (10×25 mi) = 250 mi

In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?

Answers

Answer:

70 degrees

Step-by-step explanation:

The measure of all angles in a triangle are 180 always

1. Add 50 + 60 = 110

2. 180 - 110 = 70

Hope that helps dude

a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?

Answers

Sooo, 2/3 of a yard is 2 feet because a yard is 3 feet. If you need 10 of the same pieces and you convert feet to inches you would have 24 inches. 24/10= 2.4. Each piece of licorice would need to be 2.4 inches long if you wanted the same length.
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