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2 years ago

Solve the following proportion for x.

Mathematics

2 answers:

artcher [175]2 years ago

8 0

Answer: 5 2/5, or 5.4

Step-by-step explanation:

9/x = 5/3

5x = 27

x = 27/5, or 5 2/5

2/5 = 0.4

5.4

----

9/5.4 = 1.666 . . .

5/3 = 1.666 . . .

Veronika [31]2 years ago

3 0

Answer:

I HOPE IT WILL HELP YOU. .....

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Step-by-step explanation:

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2 years ago

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The product of two rational numbers is irrational.

PtichkaEL [24]

Answer:

The statement is false.

Step-by-step explanation:

Here we need to remember some things:

Integer numbers are closed under multiplication.

This means that for two integers a and b, the product a*b is also an integer.

A rational number is a number that can be written as the quotient of two integer numbers.

An irrational number is a number that can't be written as the quotient of two rational numbers.

Now let's see the statement:

"The product of two rational numbers is irrational."

The product of two rational numbers is written as:

$\frac{a}{b} *\frac{c}{d}$

Where a, c, b, and d are integers.

We can rewrite that product as:

$\frac{a*c}{b*d}$

Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.

Then the product of two rational numbers is a rational number.

Then the statement is false.

7 0

2 years ago

PLEASE HURRY!! simplify completely show all work for full credit

Irina18 [472]

Answer:

$4x^{3}$

Step-by-step explanation:

Given:

$(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}$

Apply exponent rule of distribution:

$\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the numerator:

$\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the denominator:

$\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}$

Simplify:

$4x^{3}$

-> To explain this party since it is a bigger jump, $3^{\frac{1}{3}}x$ is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have $x^{3}$ leftover too.