So you would distribute what's in the parenthesis and end up with 4x-2x-6=x+1, then you combine like terms and end up with 2x-6=x+1, now you can add 6 to both sides or subtract 1 both sides (basically anything goes for this step just make sure you apply the same thing on both sides) so I'll add 6 and continue just to show you... then you end up with 2x=x+7 then you subtract 1x on both sides to get x=7. sorry it's a lot hopefully you get it know!
The <em><u>correct answer</u></em> is:
At least 7 times.
Explanation:
Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.
After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):
![0.5 < 0.9^x](https://tex.z-dn.net/?f=0.5%20%3C%200.9%5Ex)
To solve this, we will use logarithms:
![\log_{0.9}(0.5)](https://tex.z-dn.net/?f=%5Clog_%7B0.9%7D%280.5%29%3Cx%0A%5C%5C%0A%5C%5C6.58%20%3C%20x%0A%5C%5C%0A%5C%5C7%5Cleq%20x)
Answer:
2^3*3
Step-by-step explanation:
So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.
The slope is -1. Hope this helps! :)
Answer:
420m²
Step-by-step explanation:
Given that:
Length of diagonal = 42m
Lenght of outlying vertice = 10 m
Area of paralellogram = 2 " (area of triangle)
Area of triangle = 1/2 * base * height
Hence,
Area of parallelogram :
Area = 2(0.5 * 42 * 10)
Area = 2 (210)
Area = 420m²