The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?

Answers

Answer 1
2:3 would be the right feet.
Answer 2

Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.

How to compute the above

The area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:

(3/2)x² = 324

To solve for x, we can rearrange the equation and take the square root of both sides  -

x² = (324 * 2) / 3

x² = 216

x ≈ √216

x ≈ 14.7

Hence , the length of the side of the smaller square is approximately 14.7 feet.

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Related Questions

What is the prime factorization of 84?
A. 2•3•7
B. 3•4•7
C. 2•2•21
D. 2•2•3•7

Answers

Answer:

D. 2•2•3•7

Step-by-step explanation:

Please help meeeeee

A carnival game has 150 rubber ducks floating in a pool. The person playing
the game takes out one duck and looks at it.
• If there's a red mark on the bottom of the duck, the person wins a small
prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small
prize.
Estimate the number of the 150 ducks that you think have red marks on
the bottom.

Answers

Answer:

Pretty sure it's 17 ducks.

The correct answer is based on the information given, we can estimate  by probability that there are approximately 9 ducks with red marks on the bottom out of the 150 ducks in the pool.

To estimate the number of ducks with red marks on the bottom, we can use the information given: out of 50 people playing the game, only 3 have won a small prize.

We can assume that the probability of winning a small prize is the same for each player, and that each duck is equally likely to have a red mark.

If only 3 out of 50 people have won a small prize, we can estimate that the probability of winning is approximately 3/50.

Let's denote the number of ducks with red marks as "x." The probability of winning a small prize can be represented as x/150 (since there are 150 ducks in total).

Setting up the equation:

x/150 = 3/50

To solve for x, we can cross-multiply:

50x = 3 * 150

50x = 450

Dividing both sides by 50:

x = 9

Therefore, based on the information given, we can estimate  by probability that there are approximately 9 ducks with red marks on the bottom out of the 150 ducks in the pool.

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Solve the inequality:

8+4x≥12

Select one:

x≤1

x≥5

x≥1

x≤5

Answers

Answer:

x >_ 1

Step-by-step explanation:

Solving an inequality is a lot like solving an equation. Just pretend the inequality symbol is an equal sign!

(also i wont be using the _ or equal to symbol because I'm too lazy, so you'll get >_ or <_ for those, sorry)

8 + 4x >_ 12

-8             -8

4x >_ 4

/4       /4

x >_ 1

A farmer had two different sized rectangular gardens the smaller garden has. Alr the of 24 feet and width of 9 feet what is the area in square feet of the smaller garden

Answers

I don’t understand the wording but if the length is 24 feet and width is 9 feet then
A= l x W
A= 24 x 9
A= 216

if 4x=60 what is the value of x?

Answers

Step-by-step explanation:

if 4x = 60

Then

x = 60 / 4

x = 15

Hope it will help :)❤

The difference between x and 8 is equal to 15

Answers

Answer:

x = 23

Step-by-step explanation:

15 + 8 is 23 so x = 23

Select the statement that describes this expression: 32 ÷ 4 + ( fraction 1 over 2 x 16) − 2. (2 points)

Group of answer choices

32 times 4 plus fraction 1 over 2 times 16, then subtract 2

32 divided by 16 added to fraction 1 over 2 plus 4, then subtract 2

Half of 16 divided by 4 plus 32, then subtract 2

The quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2

Answers

Answer:

D

Step-by-step explanation:

hope it helps u

The statement is the quotient of 32 and 4 added to the product of fraction 1 over 2 and 16, then subtract 2 describes the expression 32 ÷ 4 + (1/2 x 16) - 2.

The given expression is "32 ÷ 4 + (1/2 x 16) - 2".

"32 ÷ 4" is the division of 32 by 4, which results in the quotient of 8. So, the first part of the expression simplifies to 8.

"(1/2 x 16)" is the product of the fraction 1/2 and 16.

Multiplying these values gives us 8.

Now, we have "8 + 8 - 2". Adding 8 and 8 gives us 16.

Subtracting 2 from 16 results in a final value of 14.

Therefore, the expression "32 ÷ 4 + (1/2 x 16) - 2" simplifies to 14.

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LOTS OF POINTS IF U ANSWER

A 30-ounce jar of peanut butter costs $6.00. A 40-
ounce jar costs $7.20. Which jar of peanut butter is
cheaper per ounce? Be sure to justify your reasoning
and SHOW your WORK.

Answers

Answer:

The 40 ounce jar is cheaper

Step-by-step explanation:

how i did this was divide 6.00 by 30 to get 0.2 cents per ounce then 7.20 divided by 40 to get 0.18 cents per ounce so the 40 ounce jar would be cheaper, hope this helps.

The 40 ounce jar is cheaper

Amira sells balloon animals. She uses the same number of balloons for each animal she makes. The table compares the number of balloon animals sold and the remaining number of balloons on a certain day.
Animals Balloons
20 180
29 144
38 108

How many balloons does Amira use for each balloon animal?

Answers

She used 4 balloons for each anima

Answer:

36/9=4

Step-by-step explanation:

i tried it on khan it worked

Complete the table. Then
identify the y-intercept
and the coordinate
where x = 1.
Consider the following
exponential equation.
Sketch the graph of the
exponential function.
y = 16(4x+1)
у
х
-2
-1
o
1
2
3
As x increases (x ).
у
As x decreases (x-co),
у

Answers

Answer:

y               x

-2           1/4

-1           1/2

0             1

1               2

2               4

Step-by-step explanation:

its easy algbra

doing it rn to

math is so hard :’) and I need help:

Which equation matches this table?

X 0 3 9 11 13
Y 6 9 15 17 19


1. y = x + 5
2. y = x + 6
3. y = x + 3
4. y = x - 6

Answers

Answer:

The answer would be

2. y= x + 6

Answer: The answer would be

2. y= x + 6

Step-by-step explanation:

What is the product?

Answers

-42 7/8 is the answer

Michael has $1,076.98 in his checking account. He is going to spend $536.32 on a new television, and he will spend the rest on
speakers that cost $47.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?

Answers

Answer:

11

Step-by-step explanation:

Charlie does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 9 hours. He spends at most 12 hours on weight training. He spends at most 6 hours doing cardiovascular work. Let x denote the time (in hours) that Charlie spends doing cardiovascular work. Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answers

Answer:

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (6,3)[/tex]

[tex](x_3,y_3) = (6,12)[/tex]

Step-by-step explanation:

Given

x = hours spent on cardiovascular work

y = hours spent on weight training

From the first statement,

Each week: he spends at least 9 hours

This is represented as:

[tex]Total \ge 9[/tex]

[tex]x + y \ge 9[/tex]

From the second statement,

Each week: he spends a max of 12 hours on weights

This is represented as:

[tex]Weight \le 12[/tex]

[tex]y \le 12[/tex]

From the third statement,

Each week: he spends a max of 6 hours on cardio works

This is represented as:

[tex]Cardio \le 6[/tex]

[tex]x \le 6[/tex]

So, the inequalities are:

[tex]x + y \ge 9[/tex]

[tex]y \le 12[/tex]

[tex]x \le 6[/tex]

See attachment for the graph where the solution are also highlighted

From the attachment, the solutions are:

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (6,3)[/tex]

[tex](x_3,y_3) = (6,12)[/tex]

Raul wants to buy a new bike from a store having a 10% off sale on
all bikes. The bike he wants has a sale price of $135. Write and solve
an equation to find the original price, b, of the bike.
by

Answers

Answer:

p = $150

Step-by-step explanation:

Let p represent the original price.  Then 10% of that is the discount:  0.10p.

The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135.  We next solve this equation for p:  0.90p = $135, or p = $150.

IXL 6th grade FF.1



Im having truoble need some hellllllpppp!!?!!!


Pleas..

Answers

Answer:

p=5

Step-by-step explanation:

if 5+3 = 8

13-8=5

and both sides of the triangle need to be the same

Answer:

its 5

Step-by-step explanation:

5 + 3 + p = 13

p=5

I need some quick help

Answers

Answer:

Answer #2

Y = 1/4x

Step-by-step explanation:

4. Write an equation of a line that passes
through the points (-5, -11) and (-2,1).

Answers

Answer:

y=4x+9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-(-11))/(-2-(-5))

m=(1+11)/(-2+5)

m=12/3

m=4

y-y1=m(x-x1)

y-(-11)=4(x-(-5))

y+11=4(x+5)

y=4x+20-11

y=4x+9

ann and bill share an amount of money in ratio 7:n. Ann gets 28%of the money. workout value of n

Answers

· Author has 117 answers and 6.1K answer views
If they share the money in ratio 7:n

And Ann had 28%

Thus unit ratio will be 28/7 = 4

Since Bill had 100 - 28 = 72%

Bill ratio will be 72/4 = 18

7:n will be 7:18

Thus the value of n is 18

a botanist estimated that a maple tree grows 0.24 ft per month. Write a reduced fraction that is equivalent to this amount

Answers

Answer:

[tex]\frac{6\\}{25}[/tex]

An experiment consists of spinning the spinner once. a: Find the probability of landing on a 2. b: find the probability of landing on a 1. c: Is landing in each section of the spinner equally likely to occur? Explain.

Answers

Answer:

points

Step-by-step explanation:

25% of ⅛ in percent

Answers

Answer:

0.0003125%

Step-by-step explanation:

Coach Henderson had 16 gallons of paint. He used an equal amount of the paint each of 5 days. How many gallons of paint did he use each day?


A.
5
16
B.
1
6
5
C.
3
1
5
D.
3
1
16

Answers

Answer:

  C

Step-by-step explanation:

I just did the test

Answer:

its c

Step-by-step explanation:

Manny's muffins sells 50 muffins each day. 12 of these are blueberry. If they sell a 150 muffins tomorrow, how many blueberry muffins can they expect to sell?

Answers

Answer:

36

Step-by-step explanation:

12 times 3

Answer:

probably 36

Step-by-step explanation:

Find the value of x in the triangle shown below
X=?

Answers

Answer:

you can use :

cos(X) = ( 5^2 + 6.9^2-5^2) / (2*5*6.9)

use caculator shift cos of this

I need help quick !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

192ft squared. But remember it says don't put the square feet so just type in: 192.

Step-by-step explanation:

The top triangle is 42 ft squared.

The rectangle below it is 150 feet squared.

You add them together and get 192 ft squared hope this helps!

Its 192ft I agree with Ethel

Which number line shows the solution to the inequality?

Answers

the answer is c
hope this helps :)

Answer:

C

Step-by-step explanation:

I was taking the test and finished an hour ago

2. The amount of sap that is collected from
six sugar maples from a 12-acre forest of
sugar maples that are being tapped.
Population:
Sample:

Answers

Population: six sugar maples
Sample: sap

The probability of spinning an odd number on a spinner is 62 percent. If you spin 100 times, how many times would you expect it to land on an odd number?

Answers

Answer:

The spinner will land 1 three times out of every Eight

Step-by-step explanation:

Answer:

62 times

Step-by-step explanation:

if the probability is 62/100 then u get an odd num 62 times out of every 100

What is 0.9 divide by 2.647

Answers

Answer:

0.340007556

Step-by-step explanation:

its correct

Use the calculator mah g
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