Section 1 - Question 9
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational
Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Which statement BEST describes who is correct?
А
Frankie is correct because the 20 is 10 which is a rational number.
B
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates
С
Both students are correct because 20 is a rational number.
D
Neither student is correct because 20 is an irrational number
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Answers

Answer 1
The answer to this question is B
Answer 2

Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.

Given that,
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational. Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.

What is a rational number?

Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

Here,
20 is a rational number but its square root is not 10 so, Frankie is not correct.
The square root of 20 falls between 4 and 5 the decimal terminates. its true and Alejandro is correct.

Thus, Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.

Learn more about Rational numbers here: https://brainly.com/question/17450097

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Related Questions

HELP 50 POINTS IF RIGHT!​

Answers

Answer:

we can see how many points it actually it is

Answer:

ahhh

Step-by-step explanation:

A publisher needs to send a money box to a local bike retailer and will send bucks and a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 55 books.  A total of 10 boxes were sent which can hold 375 books altogether. 

Answers

Answer: ok

Step-by-step explanation:

Ok

Ella made a checker board. Each individual square has a side with a length of x + 3. Find the area of the ENTIRE board in terms of x if each side of the board is made up of 6 congruent squares.

Answers

Answer:

Total area of board = 36x² + 324 + 216x

Step-by-step explanation:

Given:

Side of square = x + 3

Total number of square = 6 x 6 = 36

Area of each square = Side x Side

Area of each square = (x + 3)²

Area of each square = x² + 9 + 6x

Total area of board = 36[Area of each square]

Total area of board = 36[x² + 9 + 6x]

Total area of board = 36x² + 324 + 216x

what's 380 divided by 40

Answers

The answer is 9.5
Hope it helps :-)

PLEASE IF YOU ACCTUALY AWNSER BOTH I WILL MARK BRIANLYEST

Answers

Answer:

the first one is 1/2 of an answer is zero answer. and the second one is x = a number and y = a number

Step-by-step explanation:

i hope this helps

Which kind of ethical issue is unique to the healthcare industry? financial end-of-life employee-relations safety

Answers

Answer:

b

Step-by-step explanation:

end of life

edge 2020

Answer:

b

Step-by-step explanation:

working alone, kali can pick forty bushels of apples in 15 hours,l. One day her friend Natalie helped her and it only took 6 hours. How long would it take Natalie to do it alone.​

(please help I'm struggling)

Answers

Answer:

The time it will take Natalie to pick the forty bushels alone is 10 hours

Step-by-step explanation:

The time it takes Kali to pick forty bushels of apples alone = 15 hours

The time it takes Kali and Natalie to pick forty bushels = 6 hours

The rate at which Kali picks bushels = 40/15 bushels per hour  = 8/3 bushels per hour  

Let x represents the rate at which Natalie picks bushels, we have;

8/3 × 6 + x × 6 = 40

x × 6 = 40 - 8/3 × 6 = 24

x = 24/6 = 4

Therefore;

The rate at which Natalie picks the bushels of apples = 4 bushels/hour

The time it will take Natalie to pick the forty bushels alone = (40 bushels)/(4 bushels/hour) = 10 hours.

Find the slope of the line that passes through each pair of points

Answers

Answer:

Slope of 2

Step-by-step explanation:

First thing is to look at the change in x and y from the points. You can do this by subtracting the x valie from the other value and the same for the y values. So you would do 2-0=2.

So we know the change in x between the points, so now we find the change in y. 5-1=4.

Now that we know the change in x and y, we use the expression below to solve for the slope.

[tex] \frac{rise}{run} \: or \: \frac{y}{x} [/tex]

We can insert what we found and then solve for the equation

[tex] \frac{4}{2} [/tex]

So we solve for that, which is 2. Now we know the slope is 2.

Answer:

given us,

(x1y1)= (2,5)

(x2y2)= (0,1)

here,

(y-y1)= (y2-y1)/ (x2-x1)× (x-x1)

or, (y-5)=(1-5)/(0-2)× (x-2)

or, y-5= -4/-2 ×(x-2)

or,y-5= 2(x-2)

or, y-5/ x-2= 2

or,y-5= 2x-4

or, 2x-y= -4+5

:. 2x-y= 1

Step-by-step explanation:

2x-y= 1

A well respected wild life researcher recently conducted a
study of wild Jackalopes. He trapped and weighed 60 adult
wild Jackalopes in an attempt to gauge their health. As a
population, if a species loses weight it could be a signal
that the health of the population is in danger. Research conducted 10 years prior found that the population mean was 69.9 pounds. Test the claim that population mean of wild Jackalopes is equal to 69.9 lbs. Use a significance level of .01.

Claim: ______________
Null Hypothesis: ________
Alternative Hypothesis: ___________________________
Test Statistic: (state the statistic and find it’s value):
Find the pvalue for the given test statistic:
At the 0.01 significance level would you reject the null or fail to reject the null? Justify your answer.
What final conclusion could you draw from your research?

Answers

Answer:

Claim : men weigh of wild jackalopes is 69.9

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Test statistic = −2.447085

P value = 0.0174

Conclusion :

Fail to Reject the Null hypothesis

Step-by-step explanation:

From the question given :

The claim is that : mean weight of wild jackalopes is still the same as 10 years with a mean weight of 69.9 lbs.

The null hypothesis : H0 : μ = 69.9

Alternative hypothesis : H1 : μ ≠ 69.9

Using calculator :

Sample mean (x) = 66

Sample standard deviation (s) = 12.345

The test statistic t :

(x - μ) / (s/√n)

n = sample size = 60

(66 - 69.9) / (12.345 / √60)

t = −2.447085

P value at α 0.01, df = 59 is 0.0174

Since the p value is > 0.01, the result is not significant at 0.01. Therefore, we fail to reject the Null

I'm doing fractions and I'm super stumped with this one

Answers

Answer:

1 2/3

Step-by-step explanation:

As a mixed fraction btw

Answer:

1 and 2/3

Step-by-step explanation:

add 1/ 3 plus 4/3

ALGEBRA 2
*need work to be shown *
solve the following equation x^2 + 27=-9

Answers

Step-by-step explanation:

x²=-9-27

x²=-36

there's no x

Answer:

x = ± 6i

Step-by-step explanation:

Given

x² + 27 = - 9 ( subtract 27 from both sides )

x² = - 36 ( negative value indicates the solutions are complex )

Take the square root of both sides

x = ± [tex]\sqrt{-36}[/tex] = ± 6i

Which point lies on the circle that has a center at (-2,3) and a radius of 4

Answers

Answer:

(-6,3) is one of infinitely many answers.

Step-by-step explanation:

The radius of the circle is 4, so any point that is 4 units away from the point (-2,3) would be considered a correct answer.

Solve the proportion x/21 = 1/3

Answers

Answer:

21 (Verified Answer) ✅

Step-by-step explanation:

A proportion is solved by cross multiplying.

3x = 21

x = 7

Now, let's check it

3(7) = 21 x 1

21 = 21 ✅

Answer:

x=7

Step-by-step explanation:

CROSS MULTIPLY

x/21=1/3

3*x=3x

21*1=21

3x=21

x=7

the lenth of a quarter is 0.955 inch round the length of a quarter to the nearest tenth of an inch.

Answers

Answer: 1 inch

Step-by-step explanation: when you round to the tenth place, you look at the number to the right of the decimal. Because it is .95, you round up. If it was .94 or under, you would round down. .95 rounded up would make 10 in the tenths place, so we add our decimal to get 1.0, or 1 inch

An architect built a scale model of a shopping mall. On the model, a circular fountain is 21 inches tall and 17.5 inches in diameter. If the actual fountain is to be 6 feet tall, what will its diameter be?

Answers

Answer:

The diameter is 5ft

Step-by-step explanation:

Given

[tex]Height : Diameter = 21\ in: 17.5\ in[/tex]

Required

Determine the diameter when the height is 6ft

Recall that the scale is a ratio of height to diameter;

So 6ft height can be represented on the following scale model;

[tex]Height : Diameter = 6ft : x[/tex]

Convert to fraction

[tex]\frac{Height}{Diameter} = \frac{6}{x}[/tex] ---- (1)

Recall that:

[tex]Height : Diameter = 21\ in: 17.5\ in[/tex]

Convert to fraction

[tex]\frac{Height}{Diameter} = \frac{21 }{17.5}[/tex] ---- (2)

Equate (1) & (2)

[tex]\frac{6}{x}= \frac{21 }{17.5}[/tex]

Cross Multiply

[tex]21 * x = 6 * 17.5[/tex]

[tex]21x = 105[/tex]

[tex]x = 105/21[/tex]

[tex]x = 5[/tex]

Hence, the diameter is 5ft

Need help ASAP!! Please!! Will mark brainliest

Answers

Answer:

D. 37.68

Step-by-step explanation:

Circumference of a circle is 2 x pi x radius

your radius is 6 bc its half of your diameter is 12

when you multify them together, it gives you ab 37.68

x/10.24=4 tell me what is the answer?

Answers

Answer:

40.96

Step-by-step explanation:

x/10.24=4

times 10.24 on both sides

10.24 times 4

x=40.96

Find the values of x, y, and z ​

Answers

add all your numbers up and subtract from 180

Answer:

Values: x =54, y= 126, z = 35

h = 210 + 33t
H being the height of the tree and T is years since Renata moved in. How tall was the tree when Renata moved in?

Answers

Answer:

it depends on how long she lived there. if she loved there for say 18 years then your question would look like this

Step-by-step explanation:

h = 210 + 33 × 18

18 × 33 = 594

594 + 210 = 804

h = 804

Ericel has $50 to spend for food for a birthday party. The birthday cake will cost $17, and he also wants to buy 4 bags of chips.

Part A: Write an inequality to represent the situation

Part B: Solve the inequality to determine what the highest price Ericel can pay for each bag of chips

Answers

Answer:

17+4x <_ 50

Step-by-step explanation:

To solve the highest price Eric would pay for chips you would want to guess and check to get $8 is the most you can pay for each bag of chips

What single percentage change is equivalent to a 8% decrease followed by a 15% decrease

Answers

Answer:

Calculate Percentage Decrease:

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.

Step-by-step explanation:

The percentage change is equivalent to a 8% decrease followed by a 15% decrease is 78.2%.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to find percentage change is equivalent to a 8% decrease followed by a 15% decrease.

So, (1- 8%)(1- 15%)

= (1- 8/100)(1-15/100)

= (1-0.8)(1-0.15)

= 0.92 x 0.85

= 0.782

Now, converting to percentage

= 0.782 x 100/100

= 78.2 /100

= 78.2%

Learn more about percentage here:

https://brainly.com/question/29306119

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Need someone to help my on my homework will do ANYTHING please help but pls have an app to text so we can work on it it is mathematics.

Answers

Answer:

i willl maybe help but

Step-by-step explanation:

Describe the process as civilizations in Africa changed from Hunter and Gatherer communities to civilizations.

Circumference of circle T is 4 times the circumference of circle S

Answers

Answer:

Circumference of S = T/4

I didn't quite catch your question though, could you elaborate a bit more?

Please help! I’ll give brainliest

Describe in words the meaning of each math expression.

f(-7) = 12

Answers

Answer:

Step 1: Simplify both sides of the equation.

−7f=12

Step 2: Divide both sides by -7.

−7f

−7

=

12

−7

f=

−12

7

Step-by-step explanation

sorry for the answer like this i couldnt find the fractions but the answer is f=-12/7 sorry :(

I added pics cause it’s 2 in the morning.. I’m having back pain, thigh pain, cramps EVERYWHERE.. headache and just finished babysitting my baby brother.. help a gurl out please

Answers

Answer:

1/4^2 (The first one)

Step-by-step explanation:

It’s A 1/4^2. 4^6 x 4^-8 is 0.0625, or 1/16. which is equivalent to 1/4^2

2. Zach is filling up his pool. The water hose filled the 328 gallom pool in 41 minutes. At what rate did the hose fill the pool in gallons per minute?​

Answers

Answer: 8 gallons

Step-by-step explanation:

Hey kk

Review Pythagorean Theorem
Use the drawing tool to write the Pythagorean theorem
equation

Answers

the pythagorean theorem equation is a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
so a^2+b^2=c^2

Answer:

The Pythagorean theorem is widely used in everyday life. one of them in the carpentry sector. the craftsman ensures that the corners of the building foundation really right angled by using a triangle with a combination of side sizes 60 cm, 80 cm, and 100 cm.

Step-by-step explanation:

How to do the Pythagorean Theorem

KNOW: the height of the triangle is 5 cm and the slope of the triangle is 13

searching for: base of triangle , X

Answer:

X² = a² - b²

X² = 13² - 5²

X² = 169 - 25

X = 144

X. =√144

X =12

that's how to find the result of the Pythagorean Theorem

I hope this helps

Can someone please answer this?

What is the slope of a line that passes through points (1,5) and (3,1)?

Answers

Answer:

Slope = -2

Step-by-step explanation:

(x₁, y₁) = (1 , 5) and (x₂ , y₂) = (3 , 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{1- 5}{3 - 1}\\\\=\frac{-4}{2}\\\\= - 2[/tex]

Find the length of segment AC.
Find the length of segment BC.
What is the scale factor from DEF to ABC?

Answers

Answer:

Heyy there sorry but your question does not have an image. I think something is missing.

Step-by-step explanation:

A binomial event has n = 35 trials. The probability of success for each trial is 0.45. Let x be the number of successes of the event during the 35 trials. What are μx and σx? (4 points) a)15.75 and 3.1996 b)15.75 and 2.9432 c)19.25 and 2.9432 d)19.25 and 3.1996 e)30 and 2.9432

Answers

Answer:

b)15.75 and 2.9432

Step-by-step explanation:

The computation of the mean and the standard deviation is shown below:

The mean of a binomial distribution is:

[tex]\mu[/tex] = np

And the standard deviation is

[tex]\sigma[/tex] =  √(npq)

where,

n = 35,

p = 0.45,

and q = 1 - 045 =  0.55

Now mean is

= 35 × 0.45

= 15.75

And, the standard deviation is  

= √(35 × 0.45 × 0.55)

= 2.9432

Hence, the correct option is B.

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