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krek1111 [17]
3 years ago
5

Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

Step-by-step explanation:

We have 0.8034=\frac{8034}{10000} =\frac{4017}{5000}

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

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Lapatulllka [165]

Answer:

20 5/24

Step-by-step explanation:

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Step-by-step explanation:

7 0
3 years ago
The sum of a number and its reciprocal is 65/8. Find the numbers.
djyliett [7]

Answer: 8 and \frac{1}{8}

<u>Step-by-step explanation:</u>

x + \frac{1}{x} = \frac{65}{8}

need to eliminate the denominator:

x(8x) + \frac{1}{x}(8x) = \frac{65}{8}(8x)

8x² + 8 = 65x

8x² - 65x + 8 = 0

(8x -1)(x - 8) = 0

(8x -1) = 0           (x - 8) = 0

x = \frac{1}{8}                      x = 8

8 0
4 years ago
The graph of a function g is a transformation of the graph of f(x)=4x−10, where g(x) is 40% of f(x). Write a rule for g.
sweet-ann [11.9K]

Answer:

g(x) = 1.6 x - 4

Step-by-step explanation:

Given:

f(x) = 4 x - 10

g(x) is 40% of f(x)

Find:

g(x)

Computation:

⇒ g(x) = 40%[f(x)]

⇒ g(x) = 40%[4 x - 10]

g(x) = 1.6 x - 4

6 0
3 years ago
Solve each calculation. Be sure to report your answer with the correct number of significant figures.
Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg  × 1.1010 dg  

12.0 m  ÷ 3.1415 m

Answer:

1. 5.61000dg  * 1.1010dg = 6.177 dg^2

2. \frac{12}{3.1415} = 3.8198

Step-by-step explanation:

1. 5.61000 dg  × 1.1010 dg  

We start by representing each digit using scientific notation

5.61000 = 561000 * 10^{-5}

1.1010 = 11010 * 10^{-4}

Then, Multiply both numbers

561000 * 10^{-5} * 11010 * 10^{-4}

First, rearrange

561000  * 11010 * 10^{-5} *  10^{-4}

6176610000 * 10^{-5} *  10^{-4}

From law of indices, 10^{-5} *  10^{-4} = 10^{-9};

So, we have

6176610000 * 10^{-9}

6.176610000

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives 6.177

Hence, 5.61000dg  * 1.1010dg = 6.177 dg^2

2.

12.0 m  ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = \frac{12}{3.1415}

We start by representing 3.1415 using scientific notation

3.1415 = 31415 * 10^{-4}

By substitution;

\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}

Take 10^{-4} to the numerator

\frac{12}{3.1415} = \frac{12 * 10^4}{31415}

From law of indices, 10^{4} = 10000

\frac{12}{3.1415} = \frac{12 * 10000}{31415}

Multiply

\frac{12}{3.1415} = \frac{120000}{31415}

Divide

\frac{12}{3.1415} = 3.81983129078

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

\frac{12}{3.1415} = 3.8198

5 0
4 years ago
Read 2 more answers
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