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kramer
3 years ago
15

Is the expression 9 divided by 4 the same as 1/9 x 1/4

Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer: They are not the same.

Step-by-step explanation:

9 divided by 4 = 2.25 = 2 1/4

1/9 * 1/4 = 1/36

1/36 = 0.027...

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Can some explain how to do this.
KatRina [158]

We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.

<h3>How to simplify the expression?</h3>

Remember the exponent property:

\frac{a^n}{a^m} = a^{n - m}

Here we have the expression:

\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2}

We can reorder this to get:

\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2} = \frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2}

The right side can be simplified to:

\frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2} = 64.04*10{12 - 3 - 2} = 64.04*10^{7}

Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:

6.404*10^8

Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).

If you want to learn more about scientific notation:

brainly.com/question/5756316

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1 year ago
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3 years ago
Suppose Carla has $7000 to invest. Which investment yields the greater return over 4 years: 7% compounded quarterly or 6.85% com
tatiyna

Answer:

The correct answer is B. The rate of 7% compounded quarterly is better.

Step-by-step explanation:

In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:

X = 7000 x (1 + 0.7 / 3) 4x3

X = 9,232.16

Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.

In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:

X = 7000 x (1 + 0.685 / 12) 4x12

X = 9,199.33

Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.

8 0
3 years ago
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