23, 879 to the nearest thousand.
The thousand digit is the 3, and we look at the digit after 3, which is 8, since 8 is more than 5, we round up the 3 to 4.
Therefore 23, 879 to the nearest thousand ≈ 24, 000
I hope this explains it.
-3 ≤ 6x - 6 < 39 (seperate into two inequalities)
6x - 9 ≥ -3
6x - 9 < 39 (solve the inequalities)
x ≥ 1
x < 8 (find the intersection)
x ∈ { 1 , 8 }
We know that the perimeter of a rectangle is twice the length, plus twice the width.
P = 2L + 2W
We also know that the perimeter is 156.
P = 156
Finally, we know that the width is 12 less than the length.
W = L - 12.
The next thing that we do is substitute the information that we have into the original equation:
P = 2L + 2W
156 = 2L + 2(L - 12)
From this point we start to solve
156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis
156 + 24 = 2L + 2L - 24 + 24
180 = 2L + 2L <--- getting like terms on same sides
180 = 4L <---combining like terms
180/4 = 4L/4 <--- getting like terms on same sides
45 = L <---now we have a value for L
Now we take the known value for L and substitute it in to our equation for W
W = L - 12
W = 45 - 12
W = 33
So now we have Length = 45 and Width = 33.
Solve : 3x-2 = 0
Add 2 to both sides of the equation :
3x = 2
Divide both sides of the equation by 3:
x = 2/3 = 0.667
Two solutions were found :
x = 2/3 = 0.667
x = 0
hope this helped
