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svet-max [94.6K]
3 years ago
12

If p and q are all positive integers and the maximum integer not greater than

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0

Answer:

  • 71

Step-by-step explanation:

<u>As per question we have:</u>

  • p > 0, q > 0
  • 31p/8q ≤ 5 ⇒ 31p ≤ 40q

Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.

<u>So the minimum value of p + q is:</u>

  • 40 + 31 = 71

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12x - 3≤ 59 AND 6x +4&gt; -2
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The value of linear Equations and Inequalities x is 5.16\geq x > -1

linear Equations and Inequalities:

A linear equation is an equation of a straight line where the power of the variable is 1. It is expressed as ax + b = 0, where x is the variable and a and b are integers. Inequality is a statement of comparison between two expressions. Linear Inequations are two expressions where their values are compared by the inequality symbols such as <, >, ≤ or ≥. One variable linear equations and Inequations have only one solution or one root. Examples of one variable linear equations and inequations are x = 4, 2a + 3 = 9, 3x < 2 , 4y - 5 > 6. etc

Method :

For solving a linear equation or inequality having only one variable, the following steps are followed, while still balancing the equation.

Add or subtract like terms

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Transpose or eliminate the terms

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Solution :

12x - 3\leq  59\\12x\leq 59+3\\12x\leq 62\\x\leq \frac{62}{12} \\x\leq \frac{31}{6} \\x\leq 5.16\\\\\\6x +4 > -2\\6x > -2-4\\6x > -6\\x > -1\\\\5.16\geq x > -1

The value of linear Equations and Inequalities x is 5.16\geq x > -1

For more details: brainly.com/question/11897796

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7 0
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Answer:

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e=  180 -a-d

=180-70-80

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Amount that can be won by Alexis ( xi ) = $0, $8 , $12

probability ( pi )

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