The area of a square garden is 1681 square feet. What are the dimensions of the garden?

Answers

Answer 1
Divide 1681 by 4 which is about 420.25 feet for length
Answer 2
The dimensions would be 41.01 because area is length times width, and because it’s a square, you would find two numbers that multiply to 1681, which would be the square root of 1681, which is 41.01

Related Questions

Henry is building a fence in his backyard for his new puppy he has 36 ft of fencing and wants to fence in a rectangular area what is one set of whole number dimensions of the fenced-in area

Answers

it could be a 9X9X9X9ft square. Hope that helps!

The sum of five consecutive numbers is -75. Which number is the least of these five numbers?

Answers

Hello! I can help you with this! Do -75/5 to get -15. -15 will be your middle number. So for consecutive integers, -13 + -14 + -15 + -16 + -17 = 75. Those are five consecutive integers that have a sum of 75. The lowest of 5 integers is -17, because it’s the smallest of them all and the furthest to the left of the number line. A line further to the left of the number line means it’s smaller. Therefore, the rest of the five integers is -17.
SOLVING:
X + (X + 1) + (X + 2) + (X + 3) + (X + 4) = - 75
X + X + 1 + X + 2 + X + 3 + X + 4 = - 75
5X + 10 = - 75
5X = - 75 - 10
5X = - 85
X =
[tex] \frac{ \textbf{-85}}{ \textbf{5}}[/tex]
X = - 17  ===> The first number.

- 17 + 1 = - 16  ===> The second number.
- 17 + 2 = - 15  ===> The third number.
- 17 + 3 = - 14  ===> The fourth number.
- 17 + 4 = - 13  ===> The fifth number.

TESTING:

[tex]-17-16-15-14-13=-75\\ \\\boxed{-75}=\boxed{-75}\quad\checkmark\ Correct.[/tex]
GOOD LUCK...!!

Simplify.

43 · 44 / 49

A) 4^16

B) 4^2

C) 1/4^2

D) 1/4

Answers

i believe it should be  c 1/4^2

Answer: The correct option is C.

Explanation:

The given expression is,

[tex]\frac{4^3.4^4}{4^9}[/tex]

Using the exponent rule [tex]a^m.a^n=a^{m+n}[/tex] , we get,

[tex]\frac{4^{3+4}}{4^9}[/tex]

[tex]\frac{4^{7}}{4^9}[/tex]

Using the exponent rule [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] , we get,

[tex]{4^{7-9}}[/tex]

[tex]4^{-2}[/tex]

Using the exponent rule [tex]\frac{1}{a^n}=a^{-n}[/tex] , we get,

[tex]4^{-2}}=\frac{1}{4^2}[/tex]

Therefore, the option C is correct.

Lena is going to cover her entire garden with topsoil. The garden is 36 feet long by 22 feet wide. A bag of topsoil costs $3 and covers 300 square feet of area. How much will the topsoil for Lena's garden cost?

Answers

The garden is 792 ft2 so if i'm wrong that should at least give you something to go on
$6.64?
So what you first want to find is the area of her garden.

You can do this with the formula length * width

In this case it would be:

36 * 22 

Which is equal to 792.

Now, you just want to find how many bags of topsoil she needs.

Since I'm assuming you cannot buy half of a bag of topsoil, she will end up buying extra topsoil, because you can't just cut a bag of topsoil in half and then take some of it, then buy that.

So to have enough, she must buy 3 bags of top soil, which would end up costing $9.

six is greater than or equal to the quotient of a number y and 2.5

Answers

Final answer:

The statement 'six is greater than or equal to the quotient of a number y and 2.5,' can be converted into the inequality 6 >= y/2.5. Solving for y by multiplying both sides by 2.5 gives y <= 15. Therefore, any number y that is 15 or less will satisfy this inequality.

Explanation:

The question provided, 'six is greater than or equal to the quotient of a number y and 2.5,' requires manipulation of an inequality in mathematics to find the potential values of y. To represent this in mathematical terms, one could write the inequality as 6 ≥ y/2.5. From here, it is a simple matter of isolating y by multiplying both sides of the inequality by 2.5, which results in y ≤ 15. Therefore, any number y that is less than or equal to 15 satisfies the inequality.

Inequality, Isolating variables and Mathematical terms are vital concepts for understanding and solving problems in algebra.

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round 98984 to one significant figure

Answers

  the answer is =100000The original (98984) had 5 significant figures and a least significant decimal of 0.The new format (100000) has 1 significant figure and a least significant decimal of 5.

The number 98984 rounded to one significant figure is 100000

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the number be N

The value of N = 98984

Now , the number N has 5 significant numbers

So , the next higher number where N can be rounded is

Now , the number N can be rounded to one significant figure by

The nearest number which the number N can be rounded of to is 100000

So , Let the number 100000 = M

Now , the number M has only 1 significant number and is close to 98984

Therefore , the value of M is 100000

Hence , The number 98984 rounded to one significant figure is 100000

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When solving negative one over three (x − 15) = −4, what is the correct sequence of operations?

Multiply each side by negative one over three , subtract 15 from each side
Multiply each side by −3, add 15 to each side
Multiply each side by negative one over three , add 15 to each side
Multiply each side by 3, subtract 15 from each side

Answers

-1/3(x - 15) = -4

step 1 : multiply both sides by -3, step 2 : add 15 to both sides

because when u multiply both sides by -3, this cancels out the -1/3 on the left side leaving u with : x - 15 = -4 * -3.....x - 15 = 12.....and then u would add 15 to both sides....giving u : x = 12 + 15.....x = 27

Determine the correct scientific notation form of the number. 60,700,000,000

Answers

60,700,000,000 in scientific notation form is 6.07*10^10
The answer would be 6.07*10^10

Rewrite as a simplified fraction 1.1 ​3 ​ ​​ =?

Answers

put 1 and 1 3rds for the answer to make the fraction 1.13

The requried 1.1 ​3 ​ ​​can be written as a simplified fraction of 44/333.

What is the fraction?

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Here,
To rewrite 1.1 ​3 ​ ​​ as a simplified fraction, we can first recognize that the repeating decimal can be represented as a fraction using a geometric series.

Let x = 0.13​3​​. Then, we can multiply both sides of this equation by 1000 to obtain

1000x = 133.333...

Next, we can subtract x from 1000x to obtain

999x = 133.333... - 0.133...

Simplifying the right side gives

999x = 133.2

Finally, dividing both sides by 999 gives

x = 133.2 / 999 = 44 / 333

Therefore, 1.1 ​3 ​ ​​ can be written as a simplified fraction of 44/333.

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What is the value of x?

x = ?

Answers

x = 6       ,,,,,,,,,,,,,,,,,,

x^2 +6^2 = 10^2

x^2 + 36 =100

x^2 = 64

x = sqrt(64)

x = 8

How do you find the X and Y values and what theorems must I use?

Answers

Well you find them with the knowledge that all the angles on any of the given point add up to 360 degrees. Also that angles that are opposite from each other are the same.

Which figure does not appear to be congruent to this one?

Answers

Your answer would be ‘C’. The reason ‘C’ would be your answer is because it is smaller than the rest. For a figure to be congruent with another figure, they would need to be the same size and shape!

Answer:

Choice C is the correct one.

Step-by-step explanation:

In the image you can observe that the third choice doesn't appear to be congruent to the given one, beacuse it's smaller.

On the other hand, choice A, B and D, have figures that apparently are the same size and shape to the given one, they were just rotated, which is a rigid transformtion, that is, they just move, their size or shape doesn't shape.

Therefore, the right answer is C figure.

Can you please help me?

Answers

So for this you just want to divide 4/5 by 9/10 because it is the opposite of the equation.

9/10 / 4/5

To divide fractions, you just multiply and reverse the second fraction.

For example:

9/10 * 5/4

Now you can just normally multiply.

45/40

Or, simplified,

9/8

(Or 1 1/8)

What is 0.27% as a decimal

Answers

0.0027 please mark me brainliest
The decimal for 0.27% is 0.0027 hope this helps :)

Yi and Sue play a game. They start with the number $42000$. Yi divides by a prime number, then passes the quotient to Sue. Then Sue divides this quotient by a prime number and passes the result back to Yi, and they continue taking turns in this way.

For example, Yi could start by dividing $42000$ by $3$. In this case, he would pass Sue the number $14000$. Then Sue could divide by $7$ and pass Yi the number $2000$, and so on.

The players are not allowed to produce a quotient that isn't an integer. Eventually, someone is forced to produce a quotient of $1$, and that player loses. For example, if a player receives the number $3$, then the only prime number (s)he can possibly divide by is $3$, and this forces that player to lose.

Who must win this game, and why?

Answers

The prime factorization of 42,000 is 2×2×2×2×3×5×5×5×7.

There are a total of 9 prime number factors of 42000.

That means that the quotient can only be passed 9 times until someone reaches 1.

The person on the 9th turn will lose.

In this case, the person who has the 9th turn is Yi.

Yi is going to lose.

Have an awesome day! :)

Answer:

The first person starting will always lose.

Step-by-step explanation:

First, I will the prime factorization of 42000. After finding the prime factorization of 42000, I will count the number of primes in the prime factorization. After that, we will find which round the person will lose.

Prime Factorization of 42000: 2*2*2*2*3*5*5*5*7

Number of Primes in List: 9

The person losing: The person on the 9th turn will lose.

The person on the 9th turn is Yi. Therefore, no matter how Yi or Sue keeps mixing the order of the numbers, Yi will always lose.

I hope this helps!

which of the following is the correct graph of the compound inequality 4p+1>-7 or 6p+3 <33?

Answers

you have to solve it separately since you are to find the 2 values of p
1)4p+1>-7
4p>-7-1
4p>-8
=p>-2

2)6p+3<33
6p<33-3
6p<30
=p<5
therefore p>-2 or p<5

Answer:

set of all real numbers (-∞,∞)

Step-by-step explanation:

Solve each inequality

[tex]4p+1>-7[/tex]

Subtract 1 from both sides

[tex]4p>-8[/tex]

Divide by 4 on both sides

[tex]p>-2[/tex]

[tex]6p+3 <33[/tex]

Subtract 3 from both sides

[tex]6p<30[/tex]

Divide both sides by 6

[tex]p<5[/tex]

[tex]p>-2[/tex] or [tex]p<5[/tex]

The graph is attached below

is the expression 3x + 2x - 4 in simplest form?Explain.

Answers

No, that is not the simplista form for that equation.
No because you have to combine the 3x and 2x before it is in simplest form.

Please Help me I would beg you and 20 points!

Answers

Add all the numbers of cases: 63 + 140 + 112 = 315
Each fraction is each number of cases divided by the total.

Truck: 63/315 = 1/5

Train: 140/315 = 4/9

Air: 112/315 = 16/45

marlis has 765 cards in her baseball collection. she sells 153 of cards. What is the percent of decrease in the number of cards in the collection?

Answers


765-153=612
612 divided by 765 = 0.8
80% is the amount she has left but the decrease is 20%

Answer:

20%

Step-by-step explanation:

(765 - 153)/765*100

(612)/765*100

0.8*100

80% of original

100% - 80% = 20% reduction

which of the following is equal to 5 4/9 5.49 5.25 7.25 5.4

Answers

5 4/9= 5+(4/9)
(4/9) ~=0.44444
5+0.4444=5.4444
Round and it becomes
5.4

Answer:

5.4

Step-by-step explanation:

We are given that

[tex]5\frac{4}{9}[/tex]

We have to find the value which is equivalent to given fraction number.

[tex]5\frac{4}{9}=\frac{45+4}{9}[/tex]

[tex]5\frac{4}{9}=\frac{49}{9}[/tex]

When we divide 49 by 9 then we get

[tex]\frac{49}{9}=5.4444[/tex]

It can write as 5.4

Hence, [tex]5\frac{4}{9}=5.4[/tex]

Answer:5.4

The mass of a an atom of helium is 6.65 x 10^−24. Use scientific notation to express the mass of 250 helium atoms.


A) 1.6625 x 10−21

B) 1.6625 x 10−22

C) 1.6625 x 10−24

D) 1.6625 x 10−26

Answers

1.6625 x 10−21

mass of one helium atom x 250 
Express 250 as 2.50.
(6.65 x 10−24)(2.50 x 102)
16.625 x 10−22

Scientific notation is the way of writing a large number between 1 to 10 with a power of 10.

The mass of one atom is 6.65 x [tex]10^{-24}[/tex]

The mass of 250 helium atoms is 1662.5 x [tex]10^{-24}[/tex].

The scientific notation to express the mass of 250 helium atoms is

1.6625 x [tex]10^{-21}[/tex].

What is scientific notation?

It is the way of writing a large number between 1 to 10 with a power of 10.

Example:

1.2 x 10² is in scientific notation.

9.1 x 10³ is in scientific notation.

We have,

Mass of one atom of helium = 6.65 x [tex]10^{-24}[/tex]

Mass of 250 atoms of helium:

= 250 x 6.65 x [tex]10^{-24}[/tex]

= 1662.5 x [tex]10^{-24}[/tex]

Now,

We will make 1662.5 into a number between 1 and 10.

1662.5

= (1662.5/1000) x 1000

= 1.6625 x 10³

Now,

= 1.6625 x 10³ x [tex]10^{-24}[/tex]

= 1.6625 x [tex]10^{3 - 24}[/tex]

= 1.6625 x [tex]10^{-21}[/tex]

Thus,

The mass of one atom is 6.65 x [tex]10^{-24}[/tex]

The mass of 250 helium atoms is 1662.5 x [tex]10^{-24}[/tex].

The scientific notation to express the mass of 250 helium atoms is

1.6625 x [tex]10^{-21}[/tex].

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2(b+3c) equivalent expressions
Options:

3(b+2c)
(b+3c) +(b+3c)
None of the above

Answers

2(b + 3c) → We first need to simplify this.

Simplify.

2b + 6c

1st Option : 

3(b + 2c)

Simplify.

3b + 6c

This is INCORRECT, as it is not equal to 2b + 6c.

2nd Option :

(b + 3c) + (b + 3c)

Simplify.

2b + 6c

This is CORRECT because 2b+6c = 2b+6c

(b + 3c) + (b + 3c)  → Answer

~Hope I helped!~



Final answer:

The correct answer to the given expression 2(b+3c) is 'None of the above' as none of the provided options represent an equivalent expression after the application of distributive property.

Explanation:

The expression 2(b+3c) cannot be transformed into any of the given options directly. If we use distributive property, we expand 2(b+3c) to get 2b + 6c, which is equivalent to the original expression.

The options provided, such as 3(b+2c), (b+3c) +(b+3c), or 'None of the above', do not simplify or represent an equivalent expression to 2(b+3c). The correct answer is 'None of the above'. It's important to note that the commutative property of addition, A+B = B+A, and the associative property, (A+B) + C = A +(B+C), suggest that we can regroup or reorder terms in an addition expression without changing its value. However, none of these properties help in finding an equivalent expression among the given options for 2(b+3c).

Rewrite the sum of 96+80 using the distributive property as a multiple of a sum of two whole numbers with no common factor

Answers

96 + 80 =

  16 x (5 + 6) 
   = 16 x 11
   = 176


I think thats right check if i made a mistake

Stan's steak house has the server to cook ratio of 5 to 2 the total number of servers and Cooks is 42 how many servers does Stan Steakhouse in employ

Answers

Stan Steakhouse employs 30 servers.

Kevin is 3 times as old as Daniel, 4 years ago, Kevin was 5 times as old as Daniel. How old is Kevin

Answers

K = Kevin's age
D = Daniel's age

K = 3D

K - 4 = 5(D - 4)

Plug in 3D for the K values in the second equation.

3D - 4 = 5(D - 4)   Use the Distributive Property
3D - 4 = 5D - 20   Add 4 to both sides
     3D = 5D - 16     Subtract 5D from both sides
    -2D = -16            Divide both sides by -2
       D = 8 
 Now, plug that D value into the original equation.

K = 3D    Plug in the D value
K = 3(8)   Multiply
K = 24

4 years ago, Daniel would've been 4 and Kevin would be 20, so Kevin would've been 5 times as old as Daniel.  And 8 x 3 = 24. Therefore, the answer to your query is that Kevin is 24 years old. Hope this helped and have a great day!

By using equations to represent the relationship between Kevin and Daniel's ages, we can determine that Kevin is 24 years old.

Kevin is 3 times as old as Daniel. Let's denote Kevin's age as K and Daniel's age as D. From the information given, we can form two equations:

K = 3D

K - 4 = 5(D - 4)

3D - 4= 5D -20

16 = 2D

D = 8

K = 24

Solving these equations simultaneously gives the age of Kevin, therefore, Kevin is 24 years old.

At the beginning of the year, Adrian's savings account balance was $28. Each week, he deposits another $15 into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?

Answers

No, because 28 and 15 have no common numbers in multiplying. and if you graph those in a line graph it is not a straight line and in order to be proportional the graph line has to pass the origin and be a straight line.

Answer:

The given condition is not proportional.

Step-by-step explanation:

At the beginning of the year, Adrian's savings account balance was $28.

Let Adrian invests for 'x' weeks.

So, total amount will becomes :

[tex]28+15x[/tex]

Since 4 weeks = 1 month, it will represent a linear equation only.

Linear functions have a constant rate of change and describe a straight line on a graph. So, this is not proportional.

The given equation is in the form y = mx + b, so its linear. For the equation to be proportional, it should be in the form of y = kx.

Please help me on this one I’m stuck

Answers

14
hoped this helped ☺

Let f(x)=2(3)^x+1 +4. The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x). What is the equation of g(x)?

Answers

Note:  It's important that you enclose that exponent, x+1, inside parentheses:

f(x)=2(3)^(x+1) +4.

g(x) = 2[2(3)^(x+1)] + 4 (do not mult. that 4 by 2).
           
        = 4*3^(x+1) + 4 (answer)

the equation of g(x) after stretching the graph of f(x) vertically by a factor of 2. Therefore, the equation of g(x) is g(x) = 4(3)^x+1 + 8.

To stretch the graph of (f(x)) vertically by a factor of 2 to form the graph of ( g(x)), we need to multiply the entire function (f(x)) by 2.

Given:

[tex]\[ f(x) = 2(3)^{x+1} + 4 \][/tex]

To stretch the graph vertically by a factor of 2, we multiply the function by 2:

[tex]\[ g(x) = 2 \cdot f(x) \][/tex]

Substitute the expression for [tex]\( f(x) \):[/tex]

[tex]\[ g(x) = 2 \cdot [2(3)^{x+1} + 4] \][/tex]

Now, distribute the 2 inside the brackets:

[tex]\[ g(x) = 4(3)^{x+1} + 8 \][/tex]

This is the equation of [tex]\( g(x) \)[/tex] after stretching the graph of [tex]\( f(x) \)[/tex] vertically by a factor of 2.

Therefore, the equation of [tex]\( g(x) \) is \( g(x) = 4(3)^{x+1} + 8 \).[/tex]

Karen runs a print shop that makes posters for large companies. It is a very competitive business. The market price is currently $1.00 per poster. She has fixed costs of $250.00. Her variable costs are $1,500 for the first thousand posters, $1,200 for the second thousand, and then $800 for each additional thousand posters.What is her AFC per poster if she prints 1,000 posters? What is her AVC and ATC?

Answers

AFC = FC / Quantity printed 

So given she prints 1,000 posters: AFC = 250.00/1000 = $0.25 
Given she prints 2,000 posters: AFC = 250.00/2000 = $0.125 
Given she prints 10,000 posters: AFC = 250.00/2000 = $0.025 

ATC = TC / Quantity printed 

where TC = FC + Variable C * Quantity printed 

If she prints 1000: TC = 250 + 2000*1000 = 2,000,250 
ATC = 2,000,250/1000 = 2000.25 

If she prints 2000: TC = 250 + 1600*2000 = 3,200,250 
ATC = 3,200,250/2000 = 1600.125 

If she prints 10000: TC = 250 + 1600*2000 + 1000*8000 ($1000 for each additional poster after 2000) = 11,200,250 
ATC = 11,200,250/10000 = 1120.025

I am asking the same question again in the hope of finding a more detailed answer. Explain why the two figures below are not similar.

Answers

The length from G to F in the larger shape is 1. Since the dilation from the first shape to the second one is 1/2, the length from N to M should be .5.
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