Answer:
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Work Shown:
You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.
The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
<h3>What are inequality expressions?</h3>
Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
<h3>How to determine the true expression of the variable x?</h3>
The inequality expression is given as
|8x - 2| < 4
Divide through the above equations by 2
So, we have the following inequality expression
|4x - 1| < 2
Remove the absolute value sign from the inequality expression
So, we have
-2 < 4x - 1 < 2
Add 1 to all sides of the above inequality expression
So, we have
-1 < 4x < 3
Divide through the above inequality expression by 4
So, we have
-0.25 < x < 0.75
Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
Read more about inequality at
brainly.com/question/25275758
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The correct answer for 12 is B
Answer:
48 or 47
Step-by-step explanation:
858/18 = 47.6
Answer:
9 nickels
Step-by-step explanation:
Set the number of pennies as x. The number of nickels would be 31 - x.
The pennies are worth x cents and the nickels are worth 5 * (31 - x), or 155-5x.
We are given that he has 67 cents, so:
x + 155 - 5x = 67
Solve.
-4x = 67 - 155 = -88
x = 22
Nickels are 31 - x, so the number of nickels he has is 9.
I hope this helps!
