4(x - 2) + 6 = 2(5x - 6) <em>use distributive property</em>
(4)(x) + (4)(-2) + 6 = (2)(5x) + (2)(-6)
4x - 8 + 6 = 10x - 12
4x - 2 = 10x - 12 <em>add 2 to both sides</em>
4x = 10x - 10 <em>subtract 10 from both sides</em>
-6x = -10 <em>divide both sides by (-6)</em>
x = 10/6
<h3>x = 5/3</h3>
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Answer:
700 meters
Step-by-step explanation:
Answer:
rational
Step-by-step explanation:
its so because they fit equaly
<u>Answer:</u>
The chance that any single department is chosen for auditing in a given week is 0.04%
<u>Explanation:</u>
Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.
Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments
which is equal to 1/25
1/25 = 0.04%
which is the chance of percentage of choosing a department
