the length of each side of a square increases by 40%. by what percent does the area of the square increase?

Answers

Answer 1

Answer:

96%

Step-by-step explanation:

If you substitue values for the sides of the square, you can easily solve this problem.

If the side of each square was 10, then the area of the square would be 100. A 40% increase in side length would mean 10×.4 = 4 --> 10+4= 14.

14 would be your new side length meaning that the area would be 196.

From this, you can see that there is an increase by 96 from the original to the 40% increase. Since the value was initially 10, we can turn the 96 increase into 96 percent.

Answer 2

Answer:

40% iincrease

Step-by-step explanation:

A=l^2  (area of a square)      let the unknown dimensions be x                                                                                                                   Area of the original square without change=(x^2)                                                          Area of the square undergoing change =(1.4x^2)                                                            thus,% change=new-old/old*100%                                                                                   1.4-1.0=0.4*100=40%                                                                                    


Related Questions

a car rental company charges an initial fee plus a fee per kilometer driven. if a car drives 105 kilometers and pays 183 dollars what is the company's initial fee

Answers

Answer:

a

mark

me

brainlist

omg

Step-by-step explanation:

If rong let

p

l

e

a

s

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me know

the answer is 100 dolers$

The product of a number and -7 is greater than 42

Answers

-7x > 42
divide by -7
x < -6

Answer:

-7*x>42

Step-by-step explanation:

-7 times any negative number greater than 6 is equal to more than 42

In an Animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs, how many cats are there?

Answers

Answer: 25:15

Step-by-step explanation: in the ratio 5:3 the 5 is dogs and the 3 is cats you multiply the 5 (aka the dogs) by 5 to get 25 (the amount of dogs in the shelter) when you multiply 3 by 5 you get the amount of cats which is 15, a good way to remember is what you do to one side you have to do to the other. I hope this helps.

In 2007, Linda purchased a house for $120,000. In 2017, the house was worth $245,000. Find the average annual rate of change in dollars per year in the value of the house

Answers

Answer:

$12,500

Step-by-step explanation:

Given that, Linda purchased a house for $120,000 in 2007 and the value of the house was $245,000 in 2017.

Total change in the value of house= $245,000- $120,000=$125,000.

Total time (in years) between 2007 and 2017 = 2017-2007=10 years.

The value of the house changes by $125,000 in the time interval of 10 years.

So, the average annual rate of change in the value of the house = $125,000/10=$12500 per year.

Hence, the average annual rate of change in the value of the house is $12,500.

Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?

A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet

Answers

Answer:

The perimeter of the fencing is 44 feet (Option D)

Step-by-step explanation:

Area and Perimeter

A square shape of side length (a) has an area given by:

[tex]A = a^2[/tex]

And its perimeter is calculated as:

P = 4a

The area of Katrina's square garden is given as A=121 square feet. We need to calculate the side length by solving for a:

[tex]a=\sqrt{121}[/tex]

a = 11 feet

Once we know the value of a, then we calculate the perimeter:

P = 4*11 = 44

The perimeter of the fencing is 44 feet (Option D)

Why are inverse operations and
properties of equality important when solving
equations? Explain.

Answers

Answer:

An inverse operation is two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality. This gives us a couple of properties that hold true for all equations.

Simplify 81 to the negative 3 fourths power. (1 point)

Question 8 options:

1)

−27

2)

negative 1 over 27

3)

27

4)

1 over 27

Answers

Answer:

negative 1 over 27

Step-by-step explanation:

81 * negative 1 over 27 = -3

Answer:

[tex] \dfrac{1}{27} [/tex]

Step-by-step explanation:

[tex] 81^{-\frac{3}{4}} = [/tex]

[tex] = \dfrac{1}{81^{\frac{3}{4}}} [/tex]

[tex] = \dfrac{1}{(\sqrt[4]{81})^3} [/tex]

[tex] = \dfrac{1}{(3)^3} [/tex]

[tex] = \dfrac{1}{27} [/tex]

here's the question for is you can't see.

what is the vertex of the equation below?
y=2(x-3)>2+4

1. (2,4)
2. (-3,4)
3. (-2,4)
4. (3,4) ​

Answers

From [tex]y=a(x-h)^2+k[/tex]

The vertex is at (h, k)

Therefore, from [tex]y=2(x-3)^2+4[/tex]

The vertex is at (3,4).

Thus, the answer is 4. (3,4)

In an obtuse triangle, the measures of two angles are 20° and 10°. What is the measure of the third angle?

Answers

Answer:

150 degrees

Step-by-step explanation:

180-20-10

Answer:

10 degrees

Step-by-step explanation: Because the highest number is the only number while the other number can be doubled.

What is the solution to the equation x/2 - 4 = 6?

x = 5

x = 20

x = 1

x = 10

Answers

Answer:

x=5

hope it helps.....

Answer:

I got the answer from the Tutor.

There are three times as many girls as boys in a school .Find an expression in term of x for the total number of student in school ,where x represent the number of boys in the school

Answers

Answer:

Total number of students = 4x

Step-by-step explanation:

Let the number of boys be x

Since, no of girls = 3 times the no of boys

So, number of girls = 3x

Total number of students = no of boys + no of girls

Total number of students = x + 3x

Total number of students = 4x

Answer:

The total number of students is 4x

Step-by-step explanation:

Hope this helped have an amazing day!

"Seventeen more than the product of a number and -3 is less than -29" translate this inequality

Answers

Answer: -3x + 17 < 29

product means multiply, so we multiply -3 and x as seen in the answer.

the less than sign is <. to remember it: less than starts with L and the sign < looks like an L

Driving 288 miles in 4 hours is a total rate of blank miles per hour. Need it fast

Answers

Answer:

Step-by-step explanation:

288 divided by 4 = 72

72X4=288

Hope it helps

there mike per hour is 72 miles

PLEASE HELP :)))
Suppose 3 rooms cost $596 and 5 rooms cost $860. What is the total cost for the number of rooms

Answers

Answer: 596 + 860 = 1456

find the least number that must be added to 1400 so as to get a perfect squre. full explanation​

Answers

Answer:

so what is the next perfect square after 1400?  That's what they are asking.. so I used my calculator to find it..

Step-by-step explanation:

the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is  1444 so now we know.. to add 44 to 1400 .... that's your answer  44

Mackenzie built the small lego set it cost $5.49 Caleb built the large lego set how much do you think the large lego set cost

Answers

Answer:

Since there is no available data for the Lego set, it is safe to assume that the cost would be definitely higher than the small Lego set built by Mackenzie. For example, if the dimension of the small Lego set is 50 X 30 X 6 (length X breadth X height all in cm ) which cost Mackenzie $5.49.

On the other-hand, let assume that, the large Lego set built by Caleb is twice that of Mackenzie Lego set (that is 100 X 60 X 12 ), it could be found that, the cost for the large Lego set would cost minimum of $10.98

Step-by-step explanation:

3. A certain 50 cm spring will stretch (in
cm) the weight (in kg) attached to
it. How long will the spring be if a 35
kg weight is attached to it?

Answers

Complete Question

A certain 50 cm spring will stretch (in  cm) one fifth  the weight (in kg) attached to  it. How long will the spring be if a 35  kg weight is attached to it

Answer:

The value is [tex]L_w = 57 \ cm[/tex]  

Step-by-step explanation:

The length of the spring is [tex]L = 50 \ cm = 0.5 \ m[/tex]

 The  mass attached to it is  [tex]w = 35 \ kg[/tex]

Generally given from that the spring will stretch one fifth of the weight  (in kg)attached to it , it then means that the  new length of the spring whenever a weight is attached to it is mathematically represented as

          [tex]L_w = L + \frac{W}{5}[/tex]

=>      [tex]L_w = 50 + \frac{35}{5}[/tex]  

=>      [tex]L_w = 57 \ cm[/tex]  

 


Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5

Answers

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1

A 20-oz bottle of soda costs $2.98.What is the cost per ounce?

Answers

Answer:

$0.15

Step-by-step explanation:

Answer:

0.149

Step-by-step explanation:

2.98 divided by 20 = 0.149

Answer - 0.149

Carol observes that all of the juniors are taking physics this year. She concludes that when she is a junior, she will take physics for her science class. What kind of reasoning is Carol using to from her conjecture?

A.) Deductive Reasoning
B.) Inductive Reasoning

Answers

Answer:

The answer is B.) Inductive Reasoning

Step-by-step explanation:

Deductive reasoning requires one to start with a few general ideas, called premises, and apply  them to a specific situation. Recognized rules, laws, theories, and other widely accepted truths  are used to prove that a conclusion is right.

Answer:

Inductive Reasoning

Step-by-step explanation:

Carol’s conjecture is based on her observations.

Help pls I am in 4th and my sister is at school help

Answers

Answer:

0.125

Step-by-step explanation:

Answer

0.125

                                           

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Help............................

Answers

Answer:

I think it is B, or the second one

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Johnny ran 18.28 meters in a football game. How many yards did he run?

Answers

Answer:

19.991251 yards

Step-by-step explanation:

Answer:19.69 yards

Step-by-step explanation:

I asked Siri nah I’m kiddin if one meter is about .91 meters you just have to add .91 to. 18.28

Not sure what this is but last choice is 60 miles FIRST ANSWER GETS BRAINLIEST HEHEHE

Answers

Answer: b

Step-by-step explanation:

I think is B.
Hope this helps!!

what is the answer to this one need asap

Answers

Hello,

The correct answer is 18.
Hope this helps!!
Brainliest?

1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?

2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6

Answers

Answer:she worked 17 hours

Step-by-step explanation: 10×17=170+42=212

Answer:

She worked 16.4 hours

Step-by-step explanation:

The cost of an limited edition figurine starts at $255 and it increases in value by 8% each year. What is the growth or decay rate as a decimal? What is the initial value? Write an exponential model that represents the cost f (t) of the figurine t years after it's bought. After 6 years the figurine's value is ?

Answers

Answer:

Growth rate = 8% = 0.08

Initial value (Po) = $255

F(t) = Po* e^rt

F(t) = $412.09897

Step-by-step explanation:

Given that:

Initial cost = $255

Rate of increase per year (r) = 8% = 0.08

Growth rate :

Final amount = Initial amount * (1 + rate)^time

Growth rate = 8% = 0.08

Initial value (Po) = $255

Exponential model for the cost :

F(t) = Initial value * e^(rate * time)

F(t) = Po* e^rt

Value after 6 years :

F(t) = Po* e^rt

t = 6

F(t) = 255 * e^(0.08*6)

F(t) = 255 * 1.6160744

F(t) = $412.09897

An ordinary coin is thrown 50 times.
Barry says "I am going to get heads 25 times and tails 25 times."
Explain why he could be wrong.

Answers

He has a 50% chance of getting either one any time he throws the coin. Although unlikely, he could potentially throw the coin and get heads 100 times. Or he could get tails 100 times. Or any amount in between!

He could get  25 heads out of the 50 times but the percentage of happening that is very narrow.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."

To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:

The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.

Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.

Learn more about probability here:

https://brainly.com/question/30034780

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When finding all the unknown values in similar right triangles you
have choices: you can use Proportional Relationships or the Pythagorean
Theorem. Which would you use for each of these examples, and why?

Find all the missing sides!

Answers

Answer:

sffsffrdffffgtgttgfftggggfhfffddgddgff

Write the slope-intercept form of the equation that is described below.

Through (-3, 3) and perpendicular to y = 1/3x + 5

What is the equation:

Answers

Answer:

3=-3*-3+b

3=9+b

-9 on both sides

-6=b

y=-3x-6

*-3 because the opposite of 1/3 is -3*

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