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Aliun [14]
3 years ago
7

Why is 5/7 less than 8/10

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0
So this question is just a comparison problem.
If you split a chocolate bar into seven pieces, and ate 5 of them, you would have eaten less than if it were split into 10 pieces and you ate 8.

Another way to see this is if we did it mathematically.
5/7*10/10 = 50/70
8/10*7/7 = 56/70
Now that the denominators are the same, you can compare 50 to 56 and obviously, 50 is smaller than 56. 

Hope this helps! If you have any questions, just ask!
Anna [14]3 years ago
6 0
Because when u have come denominators such as 70 5/7 would be 50/70 and 8/10 would be 56/70&

50/70<56/70
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Incomplete question.

Step-by-step explanation:

You've only provided the time.

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Step-by-step explanation:

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2 years ago
Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
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