The standard form using integers of the equation is 6y - x = 42
<h3>How to determine the standard form</h3>
Note that solving in standard form means writing it as a simple equation
Given y = 1/6x + 7
Find the LCM of the right side, we have
y = 
Cross multiply
6 × y = x + 42
6y = x + 42
Make the variables move to the left side
6y - x = 42
Thus, the standard form using integers of the equation is 6y - x = 42
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Answer:
√5 is irrational
Step-by-step explanation:
A rational number is one that can be written exactly as an integer or ratio of integers. Written as a decimal number, it will have a finite number of digits, or a repeating decimal fraction.
<h3>Application</h3>
Usually, a number that can <em>only</em> be expressed <em>exactly</em> using a <em>symbol</em> will be irrational. For square roots, any root of an integer other than a perfect square will be irrational.
The integer 5 is not a perfect square. It is between the squares 2²=4 and 3²=9. The square root of 5 is irrational.
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<em>Additional comment</em>
A reduced fraction whose denominator has factors other than 2 or 5 will translate to a repeating decimal. The number of repeating digits may be as many as 1 less than the denominator. For example, 1/19 has an 18-digit repeating decimal equivalent.
9514 1404 393
Answer:
0.344
Step-by-step explanation:
There are 20C10 = 184,756 ways to choose 10 problems at random from a list of 20.
There are 10C5 = 252 ways to choose 5 of the 10 algebra problems, and the same number of ways to choose 5 of the 10 geometry problems. Then there are 252² = 63,504 ways to choose 5 problems each of algebra and geometry.
The probability of choosing 5 problems in each category is ...
63504/184756 ≈ 0.344
