Konrad is trying to show his teacher why the sum of two rational numbers is another rational number. His first steps are shown. Which is the best method Konrad could use to continue?

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ[tex]\bigstar\boxed{\large\bf{\leadsto -\dfrac{28}{9}}}[/tex]

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‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-1}{3}-\dfrac{1}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-2-1}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼ \dfrac{\dfrac{14}{9}}{\dfrac{-3}{6}}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼\dfrac{14}{9}\times -2}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎[tex]\bf{⟼\dfrac{-28}{9}}[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

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Using conditional probability, the expression is given by:

P(S|G)

Conditional probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

Then, the conditional expression is:

P(S|G)

A similar problem is given at https://brainly.com/question/24161830

Answer:78

Step-by-step explanation:

9514 1404 393

Answer:

  sales person A demonstrates better performance in all of the ratios we computed

Step-by-step explanation:

A: sales per attempt = $3.3M/167 ≈ $19.8k

  sale value per sale made = $3.3M/109 ≈ $30.3k

  sales made per attempt = 109/167 ≈ 65%

__

B: sales per attempt = $2.7M/163 ≈ $16.6k

  sale value per sale made = $2.7M/97 ≈ $27.8k

  sales made per attempt = 97/163 ≈ 60%

Answer:

The scale factor of triangle:

The scale factor of trapezoid:

See the picture for the dilated triangle

Answer:

The idea behind correct deciphering of word problems is correct understanding of the words used in the question. Both literally and mathematically. “More than” implies that something is greater than something in a literal sense. In mathematics, “a” is “more than” “b”, would be written as a>ba>b. Here even the verb, “is” plays an important role in the formation of the mathematical expression. For example, “a is more than b” means a>ba>b and “a more than b” means a+ba+b.

Answer:

the length would be 3ft and the width would be 2ft

Step-by-step explanation:

this is because the scale is 1cm:4f ft therefore, 12/4=3 and 8/4=2 which is your final answer

Answer:

LENGTH - 3cm / WIDTH - 2cm

Step-by-step explanation:

Well first off, you would use the scale: 1 cm = 4 ft

With 12, you divide by 4. 12 ÷ 4 = 3

With 8, you also divide by 4. 8 ÷ 4 = 2

So, it would be 3 cm long and 2 cm wide.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I like to let a graphing calculator or spreadsheet do repetitive calculations. It is well worth the few minutes it takes to learn how to enter a formula into any of the available free spreadsheet programs. The Desmos graphing calculator is amazing in its versatility and usefulness.

There are a couple of things that can help make it easier to construct a table of values.

1) recognize the axis of symmetry for this quadratic is ...

  x = -b/(2a) = -25/(2(-5)) = 2.5

So, choosing numbers either side of t=2.5 will cut your work in half.

  h(2) = h(3)

  h(1) = h(4) . . . for example

2) use Horner form to make manual evaluation easier.

  h = (-5t +25)t +2  or  = (5 -t)(5t) +2

__

Attached is a table of values, and their plot on a graph.

Consider the expression

[tex]\dfrac{x^3-1}{(x+1)^3+1}[/tex]

Factorize the numerator and denominator a difference/sum of cubes:

[tex]\dfrac{(x-1)(x^2+x+1)}{((x+1)+1)((x+1)^2-(x+1)+1)}[/tex]

Expand the denominator:

[tex]\dfrac{(x-1)(x^2+x+1)}{(x+2)((x^2+2x+1)-(x+1)+1)}=\dfrac{(x-1)(x^2+x+1)}{(x+2)(x^2+x+1)}=\dfrac{x-1}{x+2}[/tex]

since x = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of x ² + x + 1. This leaves us with

[tex]\dfrac{2020^3-1}{2021^3+1} = \dfrac{2020-1}{2020+2} = \dfrac{2019}{2022}=\dfrac{673}{674}=\dfrac ab[/tex]

so that a + b = 673 + 674 = 1347.

Answer:

lenght = 25 cm

widht = 15 cm

Step-by-step explanation:

Dimensions of the screen

375 = (l - 10) × l

375 = l² - 10l

l² - 10l -375 = 0

(l + 15)(l -25)

l = -15 or l = 25

lenght = 25 cm

widht = 25 - 10

widht = 15 cm

its 5,004,300

sorry for the wrong answer at first i read it wrong

Answer:

1: the number after is equal to the number before plus 1

2: the number after is equal to the number before plus 4

Step-by-step explanation:

Answer:

A,C,D

Step-by-step explanation:

Irrational number that keep going and never stop that DONT have a pattern

For example

1/3=0.3

It keeps going on BUT it repeats therefore its rational

Another example

The square root of 13 is 3.6055.......

it keeps going on BUT it doesn't have a pattern therefore its irratianal

Answer:

60x + 42y

Step-by-step explanation:

60 x 10 = 60

7x6 = 42

Answer:

D. 24

Step-by-step explanation:

5x - 9 + 2x + 21 = 180

7x + 12 = 180

7x = 168

x = 24

Answer:

7

Step-by-step explanation:

The sum of the two number is 10 + x, which when doubled equals 36. Divide the 36/2, which gets to 18. Move the 10 to the other side which gets 18-10 to get 8. 20 years from now, so add 20. 20+8 is 28. 4 times my present age. So do the inverse and you will get 28/4 which equals 7. You're present age is 7.

Answer:

441

Step-by-step explanation:

Answer:

Mixed number: 3 1/3

Improper fraction: 10/3

Step-by-step explanation:

Answer:

3 1/3 or 10 / 3

Step-by-step explanation:

7 1/2 divided by 2 1/4 =

Multiply 7 by 2.

7 x 2 = 14

Add 1 to 14 because of the 1 in 1/2.

14 + 1 = 15

7 1/2 turns into 15 / 2.

Do the same for 2 1/4.

Multiply 2 by 4.

2 x 4 = 8

Add 1 to 8 because of the 1 in 1/4.

8 + 1 = 9

2 1/4 turns into 9 / 4.

15 / 2 divided by 9 / 4

KEEP CHANGE FLIP!!

15 / 2 x 4 / 9

15 x 4 = 60 & 2 x 9 = 18

15 / 2 x 4 / 9 = 60 / 18

Let's simplify 60 / 18 by dividing by the greatest common factor; 6.

60 / 6 = 10 & 18 / 6 = 3

10 / 3 = 3 1/3

Hope this helped!

Answer:

Im sorry yo my answer ineed point and i ask a question thnks:(

Answer:

W = K m / R^2    expresses weight of ojject

W2 / W1 = (R1 / R2)^2        ratio of W2 to W1

W2 = W1 * (3960 / 3975)^2 = 50 * .992 = 49.62 lbs

Your question is incomplete.

Update: A. -2.5

Step-by-step explanation:

cube answer=3

?^3=27

3^3=27

Answer:

3x3x3

Step-by-step explanation:

Since volume is height times width times length, it would be 3x3x3=27. Hope this helps!

Answer:

$33.55

Step-by-step explanation:

100-45=55

61 x .55 = $33.55

Answer:

11 boxes of oranges

Step-by-step explanation:

o*$3 + p * $5 = $68

o+p = 18

o=18-p

54-3p + 5p = 68

2p = 14

p=7

o=11

Principal = $400

Rate = 8%

Time = 12 months

Answer:

$32 Interest but total amount after one year is $432

Answer:

it's 10points bro not 20