Presley is organizing the school book sale. Each stall will have 40 books on the shelf and 2 boxes of books with b books inside. Presley also has 200 books in inventory to refill the shelves as books sell. This situation can be written as the following expression:40s + (2b)s + 200

How many books should Presley have ready if she plans to open 8 stalls and have 12 books in each box?

a) 520
b) 712
c) 820
d) 1,622

Answer:

Step 1: Factor left side of equation.

(5x−1)(3x−5)=0

Step 2: Set factors equal to 0.

5x−1=0 or 3x−5=0

x=

1/5

or x=

5/3

Answer:::::::::

x=5/3 or x=1/5

Slope of a line that is perpendicular to the given line is -6.

What is slope?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Given equation

It is in the form of

Comparing two equations

Slope :

Slope of a line that is perpendicular to the line:

=

=

= -6

Slope of a line that is perpendicular to the given line is -6.

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To solve for [variable] in the equation [equation], apply inverse operations to isolate [variable]. For inequalities, follow the same steps, but note the direction of the inequality sign to find valid values.

To solve for a variable in an equation, one must follow a systematic process. First, identify the equation's form, whether linear, quadratic, or another type. Then, apply appropriate operations to isolate the variable. For example, in linear equations, perform addition, subtraction, multiplication, or division to isolate the variable on one side of the equation. For quadratic equations, use factoring, completing the square, or the quadratic formula.

When dealing with inequalities, the same principles apply, but one must also consider the direction of the inequality sign (>, <, ≥, ≤). When multiplying or dividing by a negative number, the inequality sign must be reversed.

In both cases, it's crucial to perform the same operation on both sides of the equation or inequality to maintain balance and equivalence. Lastly, check the solution by substituting it back into the original equation or inequality to ensure its validity.

This systematic approach ensures that we can accurately solve for variables in equations and find the values that satisfy inequalities while maintaining mathematical integrity.

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Complete question below:

"How do you solve for [variable] in the equation [equation]?""What are the steps to find the values of [variable] that satisfy the inequality [inequality]?"