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LESSON 6 SESSION 1
Rectangular paintings hang on the wall of an art gallery.
One painting has an area of 24 ft. Another painting has an
area of 32 ft. The paintings have whole-number side lengths
and have one pair of side lengths in common.
a. What could the common side length be? Show your work.
C
SOLUTION
b. Check your answer to problem 3a. Show your work

Answers

Answer 1

Step-by-step explanation:

I don't really understand. Comment the question without "lesson/session/cancel/done" bc it's ALL confusing

Answer 2

The common side length of the rectangular paintings on the wall that having area of 24ft and 32ft  is 8 feet.

How to find side length ?

There are numerous methods for calculating the length of a rectangle. If you have an area A and a width w, the length w is calculated as h = A/w. If you know the perimeter P and the width w, you can calculate the length h = P/2w.

The area of any quadrilateral can be calculated by multiplying its base length by its height. We know that all sides are equal length because the shape is square. Working backwards, we can find the length of one side by taking the square root of the area.

The given parameters are

Area of painting 1 = 24 square feet

Area of painting 2 = 32 square feet

Express the areas as the product of their factors

So, we have

24 = 2 * 2 * 2 * 3

32 = 2 * 2 * 2 * 4

Multiply the common factors

Common factors =2 * 2 * 2

Evaluate the product

Common factors = 8

This represents the common side length

Hence, the common side length of the paintings is 8 feet

To learn more about Side length refer :

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Related Questions


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer: yxz and tus

Step-by-step explanation:

please someone help me with this ASAP with the workout!!

Answers

Answer:

71 degrees

Step-by-step explanation

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

Slope

Step-by-step explanation:

Hope it helps you in your learning process

How does the slope of g(x) compare to the slope of f(x)? f(x) g(x) O The slope of g(x) is the opposite of the slope of f(x). O The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). O The slope of g(x) is equal to the slope of f(x). 43_-2-14 5 X -2 ​

Answers

Answer: Tell me if i am wrong

The answer is 'The slope of g(x) is less than the slope of f(x)'  

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ The slope of [tex]f(x) = \frac{y2-y1}{x2-x1}=\frac{2-0}{2-1} = 2[/tex]

The graph of g(x) passes through the points (0,2) and (2,3)

∴ The slope of [tex]g(x)=\frac{y2-y1}{x2-x1} =\frac{3-0}{2-0} =\frac{1}{2}[/tex]

As [tex]\frac{1}{2} <2[/tex]

This shows that the

The slope of g(x) is less than the slope of f(x).

What is the area of a square that has 2/4 units on each side

Answers

Answer:

1/4 of 0.25

Step-by-step explanation:

2/4 x 2/4 = 1/4

A cone has a radius of 7 m and a height of 18 m . What is the approximate volume of the cone to the nearest tenth? Use 3.14 for pie

Answers

The answer is 923.2 because I found the circumference of the circle which was 153.86 and since it is the volume of the cone you would use the formula V=1\3BH. Using that formula you would do: 1/3*153.86(18) and that would get you 923.16 and since it looks like the answer wants you to round, you would get 923.2. Hope that helps!

When you buy​ something, it actually costs more than you may think at least in terms of how much money you must earn to buy it. For​ example, if you pay 29 ​% of your income in​ taxes, how much money would you have to earn to buy a used car for ​$​?8,520

Answers

Answer:

the amount to be earned is $12,000

Step-by-step explanation:

The computation of the amount to be earned is shown below:

= The amount to purchase a used car ÷ (1 - paid percentage)

= $8,520 ÷ (1 - 0.29)

= $8,520 ÷ 0.71

= $12,000

hence, the amount to be earned is $12,000

We simply applied the above formula for determine the earned money

The same would be considered

The Martinez Company has just completed a physical inventory count at year end, December 31, 2022. Only the items on the shelves, in storage, and in the receiving area were counted and costed on the FIFO basis. The inventory amounted to $81,600. During the audit, the independent CPA discovered the following additional information:

(a) There were goods in transit on December 31, 2022, from a supplier with terms FOB destination, costing $9,800. Because the goods had not arrived, they were excluded from the physical inventory count.
(b) On December 27, 2022, a regular customer purchased goods for cash amounting to $1,150 and had them shipped to a bonded warehouse for temporary storage on December 28, 2022. The goods were shipped via common carrier with terms FOB shipping point. The customer picked the goods up from the warehouse on January 4, 2023. Martinez Company had paid $575 for the goods and, because they were in storage, Martinez included them in the physical inventory count.
(c) Martinez Company, on the date of the inventory, received notice from a supplier that goods ordered earlier, at a cost of $3,500, had been delivered to the transportation company on December 28, 2022; the terms were FOB shipping point. Because the shipment had not arrived on December 31, 2022, it was excluded from the physical inventory.
(d) On December 31, 2022, there were goods in transit to customers, with terms FOB shipping point, amounting to $760 (expected delivery on January 8, 2023). Because the goods had been shipped, they were excluded from the physical inventory count.
(e) On December 31, 2022, Martinez Company shipped $2,400 worth of goods to a customer, FOB destination. The goods arrived on January 5, 2023. Because the goods were not on hand, they were not included in the physical inventory count.
(f) Martinez Company, as the consignee, had goods on consignment that cost $2,700. Because these goods were on hand as of December 31, 2022, they were included in the physical inventory count.

Analyze the above information and calculate a corrected amount for the ending inventory.

Answers

Answer is letter c
Hope it helps

n. A jury consists of 12 members, and each member must vote either guilty or not guilty. Assume that the vote of each member is independent Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70% What is the probability that there is an inconclusive (tied) voting outcome

Answers

Answer:

0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome

Step-by-step explanation:

For each juror, there are only two possible outcomes. Either they vote correctly, or they do not. The probability of a juror voting correctly is independent of any other juror. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

12 members

This means that [tex]n = 12[/tex]

Suppose that the probability that a juror votes correctly (i.e. in line with the actual innocence/guilt of the person on trial) is 70%

This means that [tex]p = 0.7[/tex]

What is the probability that there is an inconclusive (tied) voting outcome?

Same number(12/2 = 6) of votes for each option, so P(X = 6).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{12,6}.(0.7)^{6}.(0.3)^{6} = 0.0792[/tex]

0.0792 = 7.92% probability that there is an inconclusive (tied) voting outcome

Someone please help me

9 4/7 + 8 5/6 =​

Answers

Answer:

9 4/7 + 8 5/6 = 773/

42

= 18 17/

42

= 18.4047619

Step-by-step explanation:

Answer:

18 17/42

Hope this helps

Muhammad, your client, comes to your office. He is from Pakistan and is an avid cricket player. His annual salary and bonus/incentive compensation income, earned as the president of an engineering firm in Virginia, is usually $2 million. He is in the top tax bracket. Muhammad would like to donate $1 million to the Pakistani Cricket Foundation in Islamabad (the foundation is not a U.S. registered charity) to support cricket in his homeland. He assumes he will get an income tax deduction for this.
1. Will Muhammad likely get an income tax deduction for his planned $1 million donation? Why or why not?
2. Should you try to persuade Muhammad to be more patient and make the donation in his will? Why or why not?

Answers

Solution :

It is given that Muhammad annual income is $ 2 millions. He wants to donate $ 1 million to the Pakistani Cricket Foundation to support cricket.

1. Muhammad believes that donating the amount will help him getting a income tax deduction,  but he is not eligible for the tax deduction even if he donates. This is because income tax is deducted only if one donates to a US qualified charitable organization that is a 501(c) 3 type of organizations for any federal tax purposes. The Pakistani Cricket Foundation is not a US qualified charitable organization.

2. Yes, I would persuade Muhammad to be more patient and continue to make donations on his will to some conservation organizations as well. This will help the organization to spend the fund on some useful activities and can also get some tax benefits for the taxa purposes under section 170(h) and 2013(c).

The number of miles that Kiki cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?

Answers

Answer:

36

Step-by-step explanation:

There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from
the basket, what is the probability they will all be green apples?

Answers

Answer: 1/7

Step-by-step explanation: 12/22 • 11/21 • 10/20

The probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

As we know,

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from the basket.

Total outcomes = number of ways of selecting fruits in the basket

Total fruits = 10 + 12 = 22

Total number of outcomes = C(22, 3) = 1540

Total number of favourable outcomes = C(12, 3) = 220

Probability = 220/1540

Probability = 0.142

Thus, the probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.

Learn more about the probability here:

brainly.com/question/11234923

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She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?

Answers

Answer:

I believe it is, 30 minutes of running.

Explanation:

If she spends 12 minutes walking, that means she’s done 6 ‘sets’ of two minutes.

Then, you just have to multiply 6 by 5 and then you get 30.

Please no links or flies, x .
The table shows how a 2-acre piece of land is split into 4 sections for holding animals. How many acres are used for horses?


Goats 35 acre

Pigs 15 acre

Llamas 25 acre

Horses ??


???/5
PLEASE ANSWERRRRR

Answers

9514 1404 393

Answer:

  4/5 acre

Step-by-step explanation:

We assume your allocations are ...

  goats: 3/5 acre

  pigs: 1/5 acre

  llamas: 2/5 acre

2 acres is 10/5 acres, so the remaining area is ...

  10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5

4/5 acre is allocated to horses.

Which of the following would be a possible alternate hypothesis for this null hypothesis?
Null Hypothesis: A 32 oz bag of chips contains at least 32 oz of chips.
a - A 32 oz bag of chips contains exactly 32 oz of chips.
b - A 32 oz bag of chips contains less than 32 oz of chips.
c - A 32 oz bag of chips might contain cookies instead.
d - One time, my buddy ate a whole 32 oz bag of chips.

Answers

Answer:

B

Step-by-step explanation:

Makes the most since

Devon, Tony, and Nate were playing a board game. Devon wins when the spinner lands on green. Nate wins when the spinner lands on blue. Tony wins when the spinners lands on red. Which spinner should be used to make the game fair?

Answers

Answer:

c

Step-by-step explanation:

what is 2x10^4 in standard notation

Answers

Answer:

I love Math anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
15
51
a x = 19.3, y = 12.1
b. x 23.8, y = 18.5
C. x = 12.1, y = 19.3
d. x = 18.5, y = 23.8

Answers

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.


What is the value of x in the equation 4/3/10

Answers

The value of X in the equation is -3

I WILL GIVE BRAINLIEST PLS HELP PLS PLS PLS
if your given the equation, 4x^3-9x^3 do you combine the exponents or add them?

Answers

Answer:

ay i use this- technically isnt cheating bc my teachers didnt block it so..

math calculator for exponent thingys:

https://www.mathpapa.com/calc.html

-and i think you combine them..maybe-

You are teaching the concept of estimation with multiplication. Some of the students are struggling. Which of the following is the best approach?

Answers

Dont click that link

Suppose we know that a confidence interval is (71,95), with a sample mean of x¯=83.

What is the margin of error?



Give just a number for your answer. For example, if you found that the margin of error was 2, you would enter 2.

Provide your answer below:

Answers

Answer:

12

Step-by-step explanation:

Recall :

Confidence interval = xbar ± margin of error

Xbar = 83

Confidence interval = (71, 95)

We could use either the lower or upper boundary to obtain an integer for the margin of error :

Using the upper boundary :

Upper boundary = Xbar + margin of error

95 = 83 + margin of error

Margin of Error = 95 - 83

Margin of Error = 12

A photograph measuring 4 inches wide and 5 inches long is enlarged to make
a wall mural. If the mural is 100 inches wide, how long is the mural?
A. 500 inches
B. 400 inches
C. 125 inches
D. 80 inches

Answers

Answer:

150 inch

Step-by-step explanation:

4x = 120 · 5

4x = 600

x = 600 ÷ 4

x = 150 inches

Find the value of x in the isosceles triangle below then find the measure of the base angle.
x = __°
Measure of 1 base angle = __°

Answers

Answer: [tex]x=13[/tex], one base angle measures [tex]74^{\circ}[/tex]

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so:

5x + 9 = 8x - 30 [congruent angles have equal measure]9 = 3x - 30 [subtract 5x from both sides]39 = 3x [add 30 to both sides]x = 13 [divide both sides by 3]

Hence, the measure of one base angle is [tex]5(13)+9=\boxed{74^{\circ}}[/tex]

Nick's grandfather grows tomatoes in a section of his yard that is 4/5 meter long and 2/3 meter wide. What is the area of the tomato section? ​

Answers

Answer:

Multiply 4/5 by 2/3

Step-by-step explanation:

Answer:

8/15m^2

Step-by-step explanation:

Hello, to find the area of a rectangle, you take the width and the length and you multiply them together like this:

4/5 x 2/3= 8/15m^2

Don't forget the meters squared in your answer.

What is equivalent to 3n+2(1-4n)

Answers

Answer:

-5n + 2

Step-by-step explanation:

distribute 2 into (1 - 4n)

3n + 2 - 8n = -5n + 2

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

False multiples of 3 arent multiples of 9

Determine which of the following statements is true for the function
g(x) = 4x5 - 3x6 + 2x3 - 1.

Answers

Step-by-step explanation:

4×5-3×6+2×3-1

20-18+6-1

2+6-1

8-1

7

Preston has a car washing business. Last year he washed 20 cars a week. This year, he washed 1,200 cars. How many more cars did he wash this year than last year? *52 weeks=1 year

Answers

Answer:

He washed 160 more cars this year than last year.

Step-by-step explanation:

Last year:  He washed a total of 1,040 cars.

This year:  He washed a total of 1,200 cars.

     1,200

 -   1,040

        160

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