Three students, Madeline, Austin, and Aubree, line up one behind the other. How
many different ways can they stand in line?

Rational expressions are expressions that can be represented as a quotient

The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]

Expand the numerator as follows

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]

Multiply the factors on the numerator

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]

Collect and evaluate like terms

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]

Remove the brackets

[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]

This means that:

[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent

Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]

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Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!

Answer:

False

Step-by-step explanation:

The sides are not equal.

y=kx

20=k(12)

k= 20/12 = 5/3

y= (5/3)x

y = 5x/3  or

3y=5x

Answer:

  3/4 hour

Step-by-step explanation:

The ratio of speeds going : coming is 9 : 3 = 3 : 1. The ratio of times will be the inverse of this: 1 : 3.

The time spent walking back is 3/(1+3) = 3/4 of the total, or 3/4 hour.

Andrea should plan on walking back for 3/4 hour.

Answer:

Step-by-step explanation:

if 50 AED= 12 Euro

for 1 AED ? Euro

50AED/1AED= 12Euro/x

cross multiplication:

50*x=12*1

50*x=12

x=12/50

x=0.24 Euro

so for 1AED you will get 0.26 Euro

Answer:

Step-by-step explanation:

b=boy

a= a on the exam

b=15

b∩a=6

b'∩a=3

b'∪a'=?

b'∪a'= b'+a'-b'∩a'

a= b∩a+b'∩a (law of total probability) = 9

a'= 25-9 = 16

b'= 25-15= 10

16+10-7=19

19/25= .76

Answer:

4.5

Step-by-step explanation:

I took the test and got it right

Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.

It digs straight up at a rate of 0.8 feet per minute.

Here, rate =6.2/0.8

= 7.75 feet per minute

Now, the time is 2.6×7.75

= 20.15 minutes

Therefore, it takes 20.15 minutes for the groundhog to reach a depth of

-2.6 feet.

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"Your question is incomplete, probably the complete question/missing part is:"

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?

The International Financial Reporting Standards developed standards can

be implemented to ascertain the provisions and disclosures to be made.

The correct responses are;

According to the financial reporting standard, the contingent liability that

Amazon Inc. should disclose and the provision that Amazon Inc. should

recognize, based on the legal consent are;

Lawsuit 1: It is not required to make provision or disclosure because the

probability of the lawsuit progressing is remote and therefore, the

Company will not be required to payout money or lose economic benefits.

Lawsuit 2: The likelihood of the Company having pay the displaced

employees is high however, the amount payable is $2 million, and

therefore, a provision of $2 million is required in the financial reporting.

Lawsuit 3: The Company is not legally obliged to pay for or perform the

cleanup, but based on the relationship between the Company's waste

location, the river, and the community, there is a constructive obligation,

the amount of which cannot be determined with reliability.

Therefore, there is a requirement for disclosure as a contingent liability,

and not a provision as the claim cannot be classified as a provision.

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Answer:

Step-by-step explanation:

Group B, lower values of dots, with lower amounts of dots.

Step-by-step explanation:

2×10,000 + 8×1000 + 5×100+6×10+1

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):

[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]

The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:

[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]

Now we have both the slope and the y-intercept so you can write the equation for the line:

[tex]y=8x-25[/tex]

You can test that either by checking y for some value of x, or by graphing.

Ben forgot that finding the area is not using the diameter, but using the radius. The radius is 1/2 of the diameter, so r=4.5. Then you would use the formula [tex]\pi*r^{2}[/tex], which would be 3.14x4.5x4.5, which is 63.585 cm squared.

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

Answer:

x=25

Step-by-step explanation:

5x-5+  2x+10 =180

2x-5x = 10+5

3x= 15

x=5

5(5)-5+ 2(5) +10 =180

Answer:

2.7

Step-by-step explanation:

1200x 30/100×25/100×3/100=2.7

Answer:

So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.

Step-by-step explanation:

The required probability is 0.981 that at least one of them is careful about personal information.

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.

Four randomly selected Internet​ users, at least one is more careful about their personal information.

As per the given question,

Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0

As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)

P(X = 0) = 4C0 × 0.63^0 × 0.37^4

P(X = 0) = 0.0187

P(X ≥ 1) = 1 - 0.0187

Apply the subtraction operation, and we get

P(X ≥ 1) = 0.981

Thus, the required probability is 0.981 that at least one of them is careful about personal information.

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Answer:

$72.75

Step-by-step explanation:

15% of $85 is $12.75

$85 - $12.75 = $72.25

Answer:

Both of the angles will add up to 180 degrees so let’s make an equation.

5x-5+2x+10=180

First we collect like terms

5x+2x-5+10=180

Add them up

7x+5=180

Move the constant to the right

7x=180-5

7x=175

7x/7=175/7

x=25

So yes it’s true x=25.

Now we find the respective angles,

5x-5

5(25)-5

125-5

120

So angle one is 120 degrees.

2x+10

2(25)+10

50+10

60

So angle two is 60 degrees.

Now to check,

120+60=180

Step-by-step explanation:

Answer:

134.12

Step-by-step explanation:

Subtraction.

Tell me if you want a step by step.

Hope this helped. :)

Answer:

1,044

Step-by-step explanation:

Answer:

Step-by-step explanation:

1044

9514 1404 393

Answer:

  a. $4.17

  b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

  m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

  m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

  t : c = 10 : 3

The menu price of the pie slice will be ...

  $1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

  m : c = 7 : 3 ≈ 2.333 = 233.3%

Answer:

1)24

2)15

3)5

4)48

Step-by-step explanation:

Answer:

I'm answering 1 and 2, okay?

Step-by-step explanation:

Q1: 24,36,12

Q2: 12, D

Question 1 works because the LCM of 6 and 4 is 12, so any multiple of twelve will also work. So from the answer choices, 12 24 and 36 all are multiples of 12.

Question 2 is D because it says 1 3/5 = 1 ?/20. We know that 5*4=20. And what we do to the denominator we do to the numerator, which is 3. So we multiply 3 by 4 to get 12.

And for the rest of the questions, GOOD LUCK AND TAKE CARE (Using my methods, you can solve them anyways.)

Answer:

12/2 = 6

Step-by-step explanation:

2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1

answer:

Step-by-step explanation:

I hope she is correct answer

Answer:

1 hour

Step-by-step explanation:

because i divided

Answer:

a is 4 because 4 x 16=20 i hope this help

a + 16 = 20

a = ?

a = 20 + 16

a = 36

a = 36 ✔️