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inna [77]
2 years ago
11

Evaluate the expression. simplify your answer. 2/3 x 1/4 / 4/5

Mathematics
2 answers:
Arturiano [62]2 years ago
7 0

Answer:

The answer is 5/24.

Step-by-step explanation:

2/3 multiplied by 1/4 is 2/12 which simplifies to 1/6. CCF (copy, change, flip) is applied to 4/5 and modifies the equation to become 1/6*5/4 for a final answer of 5/24.

Stolb23 [73]2 years ago
7 0

Answer:

2/15

Step-by-step explanation:

2/3 × 1/4 = 2/12=1/6

1/6 × 4/5 = 4/30 = 2/15

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Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0
3 years ago
Integer (-1) c (+5) =
LenKa [72]
-13.5914091423 is what I got from a calculator.
4 0
3 years ago
Read 2 more answers
A film lasts 2 hours and 35 minutes. Greg is going out at 8.15 . If he starts watching the film at 5.30 will he have time to war
Dmitry [639]

Answer:

Yes, he will have enough time to watch the entire film.

Step-by-step explanation:

5:30 to 6:30 is 1 hour of the movie completed.

6:30 to 7:30 is 2 hours completed.

7:30 plus 30 minutes brings him to 8:00.

8:00 plus the additional 5 minutes brings Greg to 8:05.

His movie ends at 8:05, so he will be able to watch the entire movie before going out.

8 0
2 years ago
Read 2 more answers
J.k. Rowling and R.L. Stone are both ready hunger games . J.k. Reads 35 pages every 2 hours and R.L. Reads 45 pages every 3 hour
san4es73 [151]

Answer:

The rate of change for each reader is :

For J K Rowling :  17 and a half pages per hour

For R L Stone :  15   pages  per hour

Step-by-step explanation:

Here the reading rate of each reader is given as:

J.K. Reads 35 pages every 2 hours.

So, the number of pages read by J K  in 2 hours  = 35 pages

⇒ The number of pages read per hour  =  35 / 2  = 17 . 5 pages

So, the pages read by J K Rowling in 1 hour is 17 and a half pages.

R L Stone reads 45 pages every 3 hours.

So, the number of pages read by R L  in 3 hours  = 45 pages

⇒ The number of pages read per hour  =  45 / 3  = 15 pages

So, the pages read by R L Stone in 1 hour is 15 pages.

Hence, the rate of change for each reader is :

For J K Rowling :  17 and a half pages  per hour

For R L Stone :  15   pages  per hour

5 0
3 years ago
Y is greater than or equal to 3and less than 7
In-s [12.5K]

Answer:

7 > y ≥ 3

Step-by-step explanation:

5 0
3 years ago
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