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

Please answer! solve for x

Answers

Answer:

it 180 degree try to add them all the subtract with 180 and that equals x

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

The angles of a triangle always add up to 180°. This means that (x+46) + 52 + 92 = 180.

First, subtract 92 from both sides of the equation to get (x+46) +52 = 88. Then, subtract 52 from both sides of the equation to get x + 46 = 36. Finally, subtract 46 from both sides of the equation to get x = -10

Urgent! Please help!
Solve the given equation:
3(x-2)^4/3 =243

Answers

Answer:

x is equal to 29.

Step-by-step explanation:

[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]

If 4 raffle tickets is 6 dollars how much is 1 raffle ticket

Answers

4/6 = 1/x cross multiple so x= 1.5 dollars

Write a unit rate for the situation.

240 people in 5 buses

Answers

Answer:

1:48

Step-by-step explanation:

for every 1 bus there is 48 people inside

Answer:

48 people in each bus

Step-by-step explanation:

5/5=1

240/5= 48

A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.
Shoes Original Price
Blue Sandals $75
Tan Sandals $68

If she buys the blue sandals, what is the final price Kelly will pay? Round to the nearest cent.

Answers

Answer:

$30.38

Step-by-step explanation:

Final Price = Original Price - Discount

Final Price = 75 - 41.25

Final Price = $33.75

Then its the additional 10%

So now you make your original cost $33.75 to make it easier so

Final Price = Original Price - Discount

Final Price = 33.75 - 3.375

Final Price = $30.38

Final Answer: $30.38

The final price Kelly will pay round to the nearest cent is $30 38¢

What is percent?

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Discount = 55%

Additional discount = 10%

Original Price of Blue Sandals = $75

Original Price of Tan Sandals =  $68

Since Kelly bought blue sandels,

So, discount on Blue Sandals = 55% of $75

discount on Blue Sandals = 0.55 * $75 = $41.25

So, Cost of Blue Sandals = $75 - $41.25

⇒ Cost of Blue Sandals = $33.75

Now there is additional discount of 10%

Additional discount = 10% of $33.75

Additional discount = 0.10% * $33.75

Additional discount = $3.375

Thus, Final Cost of Blue Sandals = $33.75 - $3.375

⇒ Final Cost of Blue Sandals = $30.375

Round to the nearest cent final cost of Blue Sandals = $30 38¢

Thus, the final price Kelly will pay round to the nearest cent is $30 38¢

To learn more about Percentage visit :

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8. It takes Juan 40 minutes to walk 2.5 miles to the park. At this rate, how many minutes
should it take him to walk 4 miles? HELPP PLZ!!!

Answers

Answer:

64 minutes

Step-by-step explanation:

40 divided by 2.5  = 16

4 times 16 = 64 minutes

It will take 64 minutes to walk 4 miles.

What is a Ratio?

A ratio indicates the number of times one number contains another.

Given that, Juan walks 2.5 miles in 40 minutes.

2.5 miles = 40 minutes

1 mile = 40/2.5 minutes

4 miles= (40/2.5)4 minutes

4 miles = 64 minutes.

Hence, It will take 64 minutes to walk 4 miles.

To learn more about ratios, click here:

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Two airplanes are carrying food and medical supplies to a country in needOne airplane is carrying 63 meals and 51 medical The total the supplies on that airplane is The other airplane is carrying 77 meals and 51 medical kitsThe cost for the supplies on that airplane Write and solve a system of equations to find the price of one meal and the price of one third airplane is carrying 70 meals and 62 medical , what is the total cost of supplies

Answers

Answer:374

Step-by-step explanation:

you add them all then get the total

Which is NOT a solution of the inequality 5 - 2x2-3?*
0
2
4
5

Answers

Step-by-step explanation:

*jnnnnnjrjehyehbr6hry FCC hfy TV

Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.

What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

Need help ASAP!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

5/6 + 1/8 + 3/4 = 1 17/24

Option A is the correct answer

Trey is buying a computer on sale. The original price was $1,200. If the sale price is ⅚ of the original price, how much did Trey pay for the computer?



Type the numerical answer only

Answers

Answer:

5/6 of $1,200 is $1,000

The answer is $1000

ps: dont add the ($) only numerical answer

An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia, but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added, given that 4 quarts equals a gallon

Answers

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

7.5

Step-by-step explanation:

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

What is the length of line segment DB?

20 units
24 units
48 units
68 units

Answers

Answer:

48 units

Step-by-step explanation:

The length of line segment DB is 48 units

What are parallelograms?

Parallelograms are shapes with opposite parallel sides

Start by calculating the measure of t using:

AE = CE --- the diagonals

So, we have

3t - 14 = t + 2

Collect like terms

3t - t = 14 + 2

Evaluate

t = 8

The length of segment DB is calculated as;

DB = 2 * DE

So, we have:

DB = 2 * (2t + 8)

Substitute 8 for t

DB = 2 * (2* 8 + 8)

Evaluate

DB = 48

Hence, the length of line segment DB is 48 units

Read more about parallelograms at:

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Can someone help me please? I will give brainly

Answers

Answer:106 I think

Step-by-step explanation: If its 2z+7w and z and w means 8 it makes 2z 28 and makes 7w 78 and then u add 28+78= 106

plz help me asap i need help plz i will mark you as brainlist

Answers

Answer:

the third one

Anyone know the answer??

Answers

The slope to a parallel line would be : 2/1
The slope to a perpendicular line would be -1/2

Which is the graph of g(x) = (0.5)¥ + 3 – 4?

Answers

Answer:

slope is 1/2 and the y intercept is -1

Neeeeeed help?!?!!!!!!!

Answers

Step-by-step explanation:

number of minutes I guess

HELP!!! NEED ASAP!!!! WILL MARK BRAINLIST!!!

Answers

Answer:

2^-15

Step-by-step explanation:

helppppppppppppppppp​

Answers

Answer:

b There is No Solution for this system

Step-by-step explanation:

When graphing out equations, the two equations have to intersect at one point to have a solution. If they are parallel, it means that they will never intersect at one point and thus there is no solution for the system. A pair of lines would only have infinitely many solutions when both lines are at the same position travelling in the same direction, overlapping each other.

What was the result of medical advancements made during the Gupta Empire?

quarantine of the sick
proper diet and nutrition
vaccination against disease
education about germs and illness

Answers

Answer:

A.) quarantine of the sick

Step-by-step explanation:

A lot of people on this same question were saying that A is right.

----------------------------------------------------------------------------------------------------

Please do not come at me...

Answer:

It's C: vaccination against disease

Step-by-step explanation:

I know many people are saying A, B, or D but their all wrong I picked C and got it correct. Hope this helped (sorry I'm late)

Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?​

Answers

Answer:

4.8

Step-by-step explanation:

Help me find the area please!

Answers

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.

Answers

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

help me: [tex]\int\limits^\pi _0 sin({x}) \, dx[/tex]

Answers

Answer:

[tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Step-by-step explanation:

To solve for the value of [tex]\int^{\pi}_{0}sin(x)dx[/tex], we need to first find the antiderivative of [tex]sin(x)[/tex].

Since the derivative of [tex]cos(x)[/tex] is [tex]-sin(x)[/tex], therefore the derivative of [tex]-cos(x)[/tex] is [tex]sin(x)[/tex]. With this:

[tex]\int^{\pi}_{0}sin(x)dx = -cos(\pi)-(-cos(0))[/tex]

[tex]=-cos(\pi)+cos(0)[/tex]

[tex]=-(-1)+1[/tex]

[tex]=2[/tex]

∴ [tex]\int^{\pi}_{0}sin(x)dx = 2[/tex]

Hope this helps :)

can someone please help me out its due very soon,

Answers

Answer:

yes it is ok

Step-by-step explanation:

40 ok equate

A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?

helpp pls​

Answers

Answer:

Number of dimes in the bag = 90

Number of quarters in the bag = 186

Step-by-step explanation:

Let

x = Number of dimes in the bag

y = Number of quarters in the bag

= 2x + 6

Total = 276

276 = x + 2x + 6

276 = 3x + 6

276 - 6 = 3x

270 = 3x

x = 270/3

= 90

x = 90

Number of dimes in the bag = 90

Number of quarters in the bag = 2x + 6

= 2(90) + 6

=180 + 6

= 186

Total = Number of dimes in the bag + Number of quarters

= 90 + 186

= 276

PLZ HELP The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it 25?

Step-by-step explanation:

I(t) = 27, 992 * (1.017) ^ t covert to log

Answers

Answer:

By 2034 Texas per capita income would reach at least $50,000

Step-by-step explanation:

Given;

[tex]I(t) = 27,992(1.017)^t[/tex]

Converting the given function to log;

[tex]I(t) = 27,992(1.017)^t \\\\\frac{I(t)}{27,992} = (1.017)^t\\\\Log_{1.017} ( \frac{I(t)}{27,992} )= t \\\\(Based \ on \ log \ rule; if \ a = b^y , in \ log \ it \ will \ be \ written \ as, Log_b \ a = y)[/tex]

(B) When I(t) = $50,000, the time "t" will become;

[tex]Log_{1.017} ( \frac{I(t)}{27,992} )= t\\\\Log_{1.017} ( \frac{50,000}{27,992} ) = t\\\\Log_{1.017} (1.7862) = t\\\\34.4 \ years = t[/tex]

Thus, by 2034 Texas per capita income would reach at least $50,000

How is a rate simile do different from a ratio?

Answers

Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, and a ratio compares two numbers with the same unit.
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