9514 1404 393
Answer:
a factor of 2 is shown, but 4 was factored out
Step-by-step explanation:
The difference of squares is factored as ...
a² -b² = (a +b)(a -b)
Then the given difference of squares factors as ...
144x² -100 = (12x)² -10² = (12x +10)(12x -10)
Each of these factors has a factor of 2 that can be factored out:
= (2(6x +5))(2(6x -5))
= (2·2)(6x +5)(6x -5)
= 4(6x +5)(6x -5)
The first factor should be 4, not 2.
Answer:
A boat would need 21 liters to cover the distance of 84 km.
Step-by-step explanation:
Given
A boat can travel 496 km on 124 liters of fuel.
To determine
How much fuel will it need to go 84 km?
It is stated that:
Distance covered in 124 liters of fuel = 496 km
Thus,
Unit rate = 496 km / 124 liters
= 4 km per liter
Thus,
The distance covered in 1 liter = 4km
In order to determine the distance covered in 84 km, all we need is to divide 84 km by 4.
i.e.
The fuel needed to go 84 km = 84 / 4 = 21 liters
Therefore, a boat would need 21 liters to cover the distance of 84 km.
The original price is c. Then the grocery bill will be: c - 0.05c = 0.95 c. You can also say since the beggining that 5% disscount implies 0.95 factor, which leads to c * 0.95 = 0.95c. Sorry if it’s wrong
The outlier is 84 and if you removed the outlier from the mean it would decrease.