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3 years ago

Which lists the fractions 2/3 , 5/6 , 7/12 from least to greatest

Mathematics

2 answers:

timofeeve [1]3 years ago

8 0

Answer:

7/12 , 2/3 , 5/6

Step-by-step explanation:

Firstly, give them a common denominator.

What do 3,6 and 12 all have in common? 12

So what we do to the bottom, we do to the top.

Multiply the 2/3 by 4 (3x4=12) to make 8/12.

Multiply the 5/6 by 2 (2x6=12) to make 10/12

7/12 already has 12 as the denominator.

Now order them.

7/12 , 8/12, 10/12.

Change them back to the original sums.

7/12 , 2/3 , 5/6

Zielflug [23.3K]3 years ago

5 0

Ans.

7/12 , 2/3 , 5/6

Why:

If we give all the fractions the same denominator then the fractions are, 8/12 , 10/12 , 7/12. We then can easily see what is the order. Once ordered correctly, just simplifiy.

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Estimates 3 2/3 \ 3 2/9

IrinaK [193]

Hello
3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3

6 0

3 years ago

Annie, Brianna & Carly are selling fruit boxes to raise money for their soccer team. All together the girls have sold 105 bo

GaryK [48]

Step-by-step explanation:

Annie = x

Brianna = y

Carly = z

Now,

x + y + z = 105 ...(1)

Carly has sold ten more than three times Brianna's sales.

z = 10 + 3y ...(2)

Brianna sold five more than Annie.

y = 5 + x ...(3)

Now,

z = 10 + 3y

z = 10 + 3(5 + x)

z = 10 + 15 + 3x

z = 25 + 3x

Now,

x + y + z = 105

x + (5 + x) + 25 + 3x = 105

5x + 30 = 105

5x = 105 - 30

5x = 75

5x/5 = 75/5

x = 15

So,

y = 5 + x

y = 5 + 15

y = 20

Now,

z = 25 + 3x

z = 25 + 3(15)

z = 25 + 45

z = 70

Thus,

Annie Sold 15 boxes

Brianna Sold 20 boxes

Carly Sold 70 boxes

6 0

2 years ago

( 4.2 + 3 ) + (5.7 x - 2 ) + ( 5 — 2.6 x)

White raven [17]

Answer is 10.2 + 3.1x
Solve by combining like terms

5 0

3 years ago

In the general population, one woman in eight will develop breast

MArishka [77]

Answer:

a) 8/10

b) $0.001 \overline{33}$

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = $0.001 \overline{33}$

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

4 0

3 years ago

You spin each spinner once. On the spinners, R represents red, B represents blue, G represents green, Y represents yellow, and P

NeTakaya

Answer:

1/6

1/12

1/2

Step-by-step explanation:

There are three possible outcomes in the left spinner, and four possible outcomes in the right spinner. So there are a total of 3×4=12 possible combinations. We can show that by making a grid:

$\left[\begin{array}{cccc}&R&B&G\\R&RR&BR&GR\\B&BR&BB&BG\\P&PR&BP&GP\\Y&RY&BY&GY\end{array}\right]$

Of these 12 combinations, 2 show both spinners landing on the same color (RR and BB). So the probability is 2/12 = 1/6.

There is only 1 outcome in which the first spinner lands on R and the second spinner lands on P (PR), so the probability is 1/12.

There are 6 outcomes in which the first spinner lands on R or the second spinner lands on P (RR, BR, PR, RY, BP, GP). So the probability is 6/12 = 1/2.

7 0

3 years ago