The area of a rectangle is 45 ft2. If the length of the long side of the rectangle is 80% greater than the short side of the rectangle, what is the length of the longer side?

Answers

Answer 1

To solve this problem we propose the following equation:


1) [tex]b*h =45\\[/tex]  This is the equation of the area of a rectangle.


Where a and b are the sides of the rectangle

If b is the longest side, then


b is 80% longer than h.


2) [tex]b= h+0.8h\\[/tex]

Now we have 2 equations and two unknowns.


Therefore we solve the following equations


[tex]45=b*\frac{b}{1+0.8}\\[/tex]

[tex]b^2=45(1+0.8)[/tex]

[tex]b =\sqrt{45(1+0.8)}\\[/tex]

b = 9 feet


The length of the longest side is 9 feet.

Answer 2

The area of a rectangle is 45 ft^2

If the length of the long side of the rectangle is 80% greater than the short side of the rectangle.

Let the shortest side be the width (x)

Length of rectangle L = 80% greater than x

So length = 0.8 x + x

Length = 1.8 x

Area of the rectangle = Length * width

45 = 1.8x * x

[tex]45= 1.8x^2[/tex]

Divide by 1.8 from both sides'

[tex]25= x^2[/tex]

Take square root on both sides

x=5

so width of the rectangle = 5 feet

Length of the rectangle (longer side) = 1.8x = 1.8 * 5 = 9 feet


Related Questions

An architect notices that the scale on a blueprint he is using has been torn off. However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint. What is the scale for this blueprint?

Answers

Answer:

The scale is : 1 in : 2.5 ft

Step-by-step explanation:

An architect notices that the scale on a blueprint he is using has been torn off.

However, he sees that a 12.5-ft. wall that has been built is 5 in. long on the blueprint.  

Let the scale be x

[tex]\frac{5}{12.5} =\frac{1}{x}[/tex]

So, scale = [tex]x=\frac{12.5}{5}[/tex] = 2.5

So, the answer is : 1 in : 2.5 ft

Answer:

The scale is : 1 in : 2.5 ft

Step-by-step explanation:

pls make me brainliest


Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below.

Answers

Picture?? Or I can’t help you

What is the solution to the inequality?

-2/3 (2x - 1/2)<= 1/5x - 1

Answers

I hope this is the answer you're looking for!

Algebraic expressions for five less three times the length L

Answers

3L-5 would be your answer

write and solve an equation to find the missing value:

Answers

b + 48 = 180
subtract 48 from both sides to get:
b = 132

maria ran 12 miles las week phoebe ran 60 miles last week how many times as far did phoebe run compared to the

Answers

5 times as far take 60 and divide by 12 and you get 5

Perform the indicated operation . Round the result to the nearest tenth and then to the nearest hundredth . Separate your answers by a comma . -49.256 + 17.197

Answers

Final answer:

By adding the two numbers and rounding, we first get -32.1 for the rounding to the nearest tenth and then the same result, -32.1, when rounding to the nearest hundredth.

Explanation:

To perform the indicated operation and round the result first to the nearest tenth and then to the nearest hundredth, we begin by adding the two numbers: -49.256 + 17.197. The sum of these numbers is -32.059. To round to the nearest tenth, we look at the hundredths place, which is 5, so we round up, resulting in -32.1. Next, to round to the nearest hundredth, we consider the thousandths place, which is 9, so we again round up, but since we're already at 9 in the hundredths place, the result remains -32.1.

The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on the return trip of 2 hours. What is the distance between the island?

Answers

The speed to the island is x. The speed to return is x+5.

The distance is the same so, 2.5 multiplied by x = 2×(x+5).

It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.

 2.5*x = 2x + 10

 .5x = 10
x=20

 Therefore, the distance between islands is 2.5 × 20 = 50 miles.

hope this helps!

Fractions. Help. Please?

Answers

[tex]x=0.\overline{8}\\\\10x=8.\overline{8}\\\\10x-x=8.\overline{8}-0.\overline{8}\\\\9x=8\\\\x=\dfrac{8}{9}[/tex]

convert 4 3/4 to an improper fraction:

to a decimal:



is this repeating or terminating a decimal?

Answers

4 3/4= 19/4=4.75 its a terminating decimal

Solve for b2: A=1/2(b1+b2)h

Answers

[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]

multiply both sides by 2 to eliminate the fraction

([tex]b_{1}[/tex] + [tex]b_{2}[/tex] )h = 2A

divide both sides by h

[tex]b_{1}[/tex] + [tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex]

subtract [tex]b_{1}[/tex] from both sides

[tex]b_{2}[/tex] = [tex]\frac{2A}{h}[/tex] - [tex]b_{1}[/tex]


the length of a rectangle is 4 in. greater than the width. the perimeter of the rectangle is 24 in. find the dimensions of the rectangle

Answers

The width is 8 in.The lenth is 4 in.

Is this all right because my homework is tomorrow

Answers

Yeah, its all correct

It's all correct, but I'm not really sure about the drawing part because I can't see it all, although I think you did a great job :)


[tex]( {x}^{3} + {x}^{2} + x + 2) \div ({x}^{2} - 1)[/tex]

Answers

[tex](x^3+x^2+x+2) divide by (x^2-1)[/tex]

We use long division to divide

There is no x term in x^2 -1  so we put 0x

                         x   +    1

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

x^2+0x-1           x^3+ x^2 + x+ 2

                         x^3+0x^2-x

                         -----------------------------(subtract the bottom from top)

                               x^2 +2x + 2

                               x^2 +0x - 1

                          --------------------------------(subtract the bottom from top)

                                      2x + 3

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

Quotient : x+1

Remainder : 2x+3

                               


which is a disadvantage of purchasing and owning a home?

Answers

The answer to your question is,

B. Homeowners pay additional property taxes

-Mabel <3

Final answer:

Owning a home can lead to a lack of flexibility, high maintenance costs, and financial risks associated with changes in the housing market.

Explanation:

A significant disadvantage of buying and owning a home is the commitment and reduced flexibility compared to renting. When you purchase a home, it becomes a major part of your portfolio, any change in the housing market can directly affect your financial status. Not to mention, if you need to move for a career opportunity or a change in life circumstances, it can be challenging to sell the house, especially if the market conditions are unfavorable.

Furthermore, home ownership often comes with substantial maintenance costs and responsibilities. Unlike renting, where the landlord typically handles maintenance tasks, as a homeowner, these responsibilities and costs are up to you. This can include routine tasks such as gardening and cleaning, to significant unexpected costs like roof replacement or plumbing issues.

Additionally, despite the potential financial return of selling the house in the future for more than you paid for it, this is not guaranteed. The housing market can fluctuate and you may not always make a profit on the resale of your home.

Learn more about Home Ownership here:

https://brainly.com/question/32148612

#SPJ2

(8,15) (-14,-3)
find the slope

Answers

The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11

Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!

Answers

Hi, there

Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?

Explanation:

1.65 x 21

Answer 34.65

Hi!

Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?

12 x 0.1 = 1.2

9 x 0.05 = 0.45

1.2 + 0.45 = $1.65

Answer:

She has 12 Dimes and 9 Nickels!

theoretical probability and experimental probability are the same true or false?

Answers

Answer:

FALSE

Step-by-step explanation:

Final answer:

The statement 'theoretical probability and experimental probability are the same' is generally false. Theoretical probability is what we expect to happen, while experimental probability is based on actual results from experiments. With more trials, these two probabilities tend to get closer, thanks to the Law of Large Numbers.

Explanation:The statement 'theoretical probability and experimental probability are the same' is generally false. Theoretical probability is defined as the number of desired outcomes divided by the number of possible outcomes, assuming that all outcomes are equally likely. It is what we expect to happen in an experiment.On the other hand, experimental probability is the proportion of times an outcome occurs based on actual experimental results. In other words, it is the data observed from repeated trials of an experiment. It's worth noting that with an increasing number of trials, experimental probability tends to get closer to theoretical probability, in accordance with the Law of Large Numbers.

Learn more about Probability here:

https://brainly.com/question/22962752

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z+5-4z=8 plz hurry plz

Answers

-1 Negative 1 I did math for u

first, rearrange the equation like this  

5 + z -4z = 8  

Then, simplify the "z"s Then, subtract 5 from both sides  

-3z = 3  

Then, divide both sides by -3  

z = -1  

To check  

-1 + 5 - 4(-1) = 8  

-1 + 5 + 4 = 8  -1 + 9 = 8  

8 = 8  


Write an equation for :
She would put 1000.00 a year into an account starting on the babys 1st birthday

Answers

Hello Azzizigilchrist.

The equation of this question would be $1000x

x stands for the amount of years it has been

So if it has been 4 years, 1000 * 4 equals 4000

:)

Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show. After paying the agent, Daniel takes home $120. Use the diagram to answer the following questions.

Daniel’s agent made .


Daniel and the agent made a total of from the show.

Answers

Answer:

Daniels agent made $40.

Daniel and the agent made a total of $160 from the show.

Step-by-step explanation:

Given:

Let the total amount made from the show  = x

Daniel's agent made = 25% of x

Daniel made = $120

From the question, we know that the total amount is the sume of what daniel and the agent took.

So,

x = 120 + 25% of x

x-0.25x = 120

0.75x = 120

x = 160.

Hence the total amount made from the show is $120.

Daniel's agent made = 25 % of 160

= 0.25*160

= 40

Hence, Daniel's agent made $40 from the show.

Answer:

40

160

Step-by-step explanation:

Please answer quickly thanks

Answers

8/3 = 2 2/3 and -11/3 = -3 2/3
so the middle line is 0 and each big line is 1.
Put the first dot on 2 2/3 or right before the 3rd big line.
Put the second dot on -3 2/3 or the line right after the 4th big line going back from 0

What is the difference ? X/x^2-2x-15-4/x^2+2x-35

Answers

 x / x² - 2x - 15 - 4 / x² + 2x - 35


FIND THE FACTOR OF EACH DENOMINATOR


= x / (x-5)(x+3) 

-  4 / (x-5) (x+7)


FIND THE LCD AND MULTIPLY EACH TERM TO ARRIVE AT THE SAME DENOMINATOR.


= x / (x-5)(x+3)  *

(x+7) / (x+7)   -    4 / (x-5) (x+7)  * (x+3)/(x+3)


PERFORM SUBTRACTION


= x2 + 7x / (x-5) (x+3) (x+7)  - (4x + 12) / (x-5) (x+7) (x+3)


= x2 + 7x – 4x – 12 / (x-5) (x+3) (x+7)


this would be your answer = x² + 3x – 12 / (x-5) (x+3) (x+7)


Answer:D

Step-by-step explanation: I just did it on edge

The Turner family and the James family each used their sprinklers last summer. The water output rate for the Turner family's sprinkler was
25L
per hour. The water output rate for the James family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
75
hours, resulting in a total water output of
1475K
. How long was each sprinkler used?

Answers

x will be the turner family, y will be the James family
using the givens we construct first this equation
[tex]25x + 15y = 1475 [/tex]
then this one

[tex]x + y = 75 [/tex]
multiply the second by 15 to get

[tex] 15x + 15y = 1125[/tex]
now subtract it from the first to get

[tex]10x = 350 \\ x = 35[/tex]
substitute to find that

[tex]35 + y = 75 \\ y = 40[/tex]
35 hours for Turner, 40 hours for James

Two less than twice a number equals the opposite of the same number. Write an equation to represent this statement, then solve.

Answers

2X (twice a number) - 2 (two less) = -X (opposite of same number).
First, isolate the variable, to do this, add X to both sides. This creates 3X - 2 = 0, then add 2 to both sides. This makes 3X = 2, divide this by 3 and you get the answer: X = 2/3.

To check it, 2*2/3 - 2 is -2/3, which means our answer is correct.

The transformation of triangle abc is an example of what

Answers

Final answer:

The transformation of triangle ABC is an example of a linear transformation that preserves lines and parallelism.

Explanation:

The transformation of triangle ABC is an example of a linear transformation.

A linear transformation is a transformation that preserves lines and parallelism. It transforms lines into lines and takes parallel lines to parallel lines.

For example, if triangle ABC is transformed into triangle A'B'C', the corresponding sides of the triangles will be parallel. Additionally, any lines within the triangle will remain lines after the transformation.

( 30 POINTS!!! WILL MARK AS BRAINLIEST IF GIVEN AN EXPLANATION )

What is the number in scientific notation?

​0.0765

Answers

I think it is

7.65 x 10^-2



7.65 x 10^-2  i think i'm not sure

An item that is normally sells for $130 is marked down 30%. What is the sale price

Answers

The answer is $100 sales price because all you do is subtract the discount from the price of the original item

To find the sale price of an item that is normally $130 with a 30% markdown, calculate the discount amount ($39) and subtract it from the original price to get a sale price of $91.

The question asks to calculate the sale price of an item after a 30% markdown. To determine the sale price, you have to first calculate the discount amount and then subtract it from the original price of the item. Here's how you do it:

Find the discount amount: original price x discount rate.Subtract the discount amount from the original price to get the sale price.

For an item that is normally sold for $130 and is marked down 30%, the sale price can be calculated as follows:

Discount amount: $130 x 0.30 = $39.Sale price: $130 - $39 = $91.

What number + (-7) = 3

Answers

A number can be 10.

You can add 7 + 3 to get 10.

Answer:

10 is the correct answer

Step-by-step explanation:


What’s -3r=1/2(32-8r)

Answers

It is safe to assume the goal is to solve for 'r'. To do so we need to isolate 'r'.

[tex]-3r = 1/2(32-8r)\\\\-3r = 16-4r\\\\r = 16[/tex]

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