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2 years ago

Convert the following into fractions in their simplest form

Mathematics

1 answer:

sladkih [1.3K]2 years ago

3 0

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... = 2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

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3 years ago

Rearrange the equation so u is the independent variable. -12u + 13 = 8w - 3 w = __

deff fn [24]

Answer: w = -3u/2 + 2

Step-by-step explanation:

-12u + 13 = 8w - 3

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3 years ago

Compute 7-9-2+10-4?

alexandr1967 [171]

I believe it would be 2. Since 7-9= -2 then subtract another 2 which equals -4 then add 10 which equals 6 then subtract 4. Which equals 2.

2 is the answer, hope this helps

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3 years ago

Which of the following correctly expresses sin (70) + sin(30) as a product?

JulsSmile [24]

Answer:

2sin50 cos20

Step-by-step explanation:

We need to write sin (70) + sin(30) as a product. The formula used here is :

$\sin A+\sin B=2\sin (\dfrac{A+B}{2})\cos(\dfrac{a-b}{2})$

Here, A = 70 and B = 30

So,

$\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20$

So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is (c).

7 0

3 years ago

(x+2y = 10 16y=-3x+30

Harlamova29_29 [7]

Answer:

x = 10, y = 0

Step-by-step explanation:

x + 2y = 10

x = 10 - 2y (Bring the 2y to the right)

16y = -3x + 30

16y = -3(10 - 2y) + 30 (Substitute x to 10 - 2y)

16y = -30 + 6y + 30 (Expand brackets)

10y = 0 (Bring y to the left)

y = 0

x = 10 - 2(0) (Substitute y = 0)

x = 10

x = 10, y = 0

7 0

3 years ago