Please help me find the answers!

Mathematics

1 answer:

frozen [14]3 years ago

8 0

Answer:

15/7

Step-by-step explanation:

To divide fractions, the process is as follows:

1) Flip one of the fractions over (numerator becomes denominator, denominator becomes numerator). In this problem, this step looks like:

5/7 divided by 1/3 ---> 5/7 divided by 3/1

2) Once one fraction is flipped, change the division sign to a multiplication sign. In this problem, this step looks like:

5/7 divided by 3/1 ---> 5/7 * 3/1

3) Multiply the fraction (multiply one fraction's numerator and denominator by the other's) In this problem, this step looks like:

5/7 * 3/1 ---> 15/7.

To check, use the same steps in the problem ? * 1/3 = 5/7. You'll find that 15/7 * 1/3 = 5/7.

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Step-by-step explanation:

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3 years ago

12x - 3≤ 59 AND 6x +4> -2

polet [3.4K]

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

Isolate the variable

Transpose or eliminate the terms

Verify the answer.

Solution :

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