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3 years ago

What is 15/16 simplafyed?

1 answer:

5 0

It can not be simplified because the numerator and denominator can not be divided between the same number, so that each results an integer number.

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What is 5/12 plus 1/3? I'm confused because the denominator has to be 36.

kirill [66]

The denominator doesn't really have to be 36. An easier way(for me, anyway) would be to convert 1/3 into 4/12 by multiplying the top and bottom by 4. Then, add 5/12 and 4/12 to get 9/12, which simplifies to 3/4 when you divide the top and the bottom by 3.

Another way is to multiply the top and the bottom of the first fraction by the denominator of the second, and multiply the top and the bottom of the second fraction by the denominator of the first(I'm using "denominator" and "bottom" the same, by the way). So, multiply the top and bottom of 5/12 by 3 to get 15/36. Then, multiply the top and bottom of 1/3 by 12 to get 12/36. Then, add 15/36 and 12/36 to get 27/36, which simplifies to 3/4 when you divide the top and the bottom by 9.

The first way only works when one of the denominators(3) is a factor of the other(12). The second way works every time. That's probably why the denominator had to be 36; your teacher wanted you to do it the way that always works.

3 0

2 years ago

A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is the value after seven years round the answer t

Scilla [17]

Answer:

Book value= $62.83

Step-by-step explanation:

Giving the following information:

A motorcycle bought for $10,000 depreciates continuously at 9% per annum.

First, we need to calculate the depreciation of seven years:

FV= PV*{[1+(-i/100)]^n}

FV= 10,000*{[1+(-0.09/100)]^7}

FV= $9937.17

Book value= 10,000 - 9,937.17

Book value= $62.83

5 0

2 years ago

Phil strung two sets of lights around the window of his store. The first set of lights blinks every 30s and the second every 45s

Amiraneli [1.4K]

Answer:

Every 90 seconds, the two sets of light blink together.

Step-by-step explanation:

Given that there are two sets of lights.

First light blinks at every 30s and

Second light blinks at every 45s

To find:

How often the sets of lights blink together?

Solution:

As per given statement,

First light blinks after 30s, 60s, 90s, 120s, 150s, 180s, ........

Second light blinks after 45s, 90s, 135s, 180s, .....

If we look at the common time, shown by underlining it, the two sets of light blink at the same time after 90s, 180s, ...... and so on.

So, the two lights blink together after every 90s.

This can also be solved by finding LCM (Least Common Multiple) of the two numbers i.e. 30 and 45.

Let us have a look at the factors of 30 and 45.

30 = 2 $\times$ 3 $\times$ 5

45 = 3 $\times$ 3 $\times$ 5

So, LCM = 2 $\times$ 3 $\times$ 3 $\times$ 5 = 90

So, after every 90s, the lights will blink together.

5 0

3 years ago

Help! It's geometry. :) 35 points.

Masja [62]

Answer:

g = 21

h = 8

Step-by-step explanation:

3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)

Simplify to get g = 21.

Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)

8 0

2 years ago

Read 2 more answers

Write an equation of the line that is parallel to -x + y = 5 and passes through the point (2, -5).

marshall27 [118]

x= something so try to solve it without the x and y and then you can figure out what x and y equals

6 0

3 years ago