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blsea [12.9K]
3 years ago
13

HOW TO PUT 12/15 IN SIMPLEST FORM

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

4/5

Step-by-step explanation:

we divide by 3 the numerator and the denominator:

(12/3) / (15/3)

we have:

4/5

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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
What is the unit rate of $46 for 5 toys
Nookie1986 [14]
I think it would be $9.20 because 46 divided by 5 = 9.2
8 0
2 years ago
Generate a line up for the 9players on a ball team
Setler79 [48]

Answer:

do a 3 by 3

Step-by-step explanation:

three across and three up

3 0
3 years ago
What is the domain of f(x) = (x + 2)2 – 1?
larisa [96]

Simplify

\\ \tt\Rrightarrow f(x)=(x+2)^2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+1

The Domain is set of all real numbers

\\ \tt\Rrightarrow Domain\in R

4 0
2 years ago
What is 16 : 24 in simplest form
REY [17]
2/3

16/24 and divide the greatest common factor (8)
3 0
3 years ago
Read 2 more answers
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