Answer:
Area of the parallelogram =base×height
area of parallelogram =3cm×2cm
area of parallelogram = 6cm²
There are 3 numbers as such.
First lets list all the factors of 12
1,2,3,4,6,12
now lets see which are multiples of 3
3,6 and 12 are multiples of 3
therefore we are left with
1,2 and 4
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
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Answer:
Step-by-step explanation:
1/4a + 1/3a + 8 = 22
Collect like terms
1/4a + 1/3a = 22 - 8
Simplify
3a+4a/12 = 14
7/12a = 14
Divide both sides by 7/12
a = 14 ÷ 7/12
= 14 × 12/7
= 168/7
= 24
a = 24
Check:
1/4a + 1/3a + 8 = 22
1/4(24) + 1/3(24) + 8 = 22
24/4 + 24/3 + 8 = 22
6 + 8 + 8 = 22
22 = 22