Answer: $48
If she tipped $8.00 then the original bill was $40, and the total was $48
Answer:
Step-by-step explanation:
125 = 5 *5 * 5 = 5³
8 = 2 * 2 *2 = 2³
125x⁶ - 8 = 5³(x²)³ - 2³
= (5x²)³ - 2³ { a³ - b³ = (a -b)(a² + ab + b²)
= (5x² - 2) ([5x²]² + 5x²*2 + 2²)
= (5x² - 2)(25x⁴ + 10x² + 4)
Hint: (5x²)² = 5² * (x²)² = 25* x²ˣ² = 25x⁴
Answer:
![\frac{4}{15} \\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B15%7D%20%5C%5C)
Step-by-step explanation:
number of the students like brussels sprouts but dislike lima beans = number of these students who dislike lima beans - number of students who dislike lima beans and also dislike brussels sprouts
![\frac{2}{3}-\frac{3}{5}* \frac{2}{3} = \frac{2}{3}-\frac{6}{15}=\frac{10}{15}-\frac{6}{15}=\frac{4}{15}\\](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B3%7D%7B5%7D%2A%20%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B6%7D%7B15%7D%3D%5Cfrac%7B10%7D%7B15%7D-%5Cfrac%7B6%7D%7B15%7D%3D%5Cfrac%7B4%7D%7B15%7D%5C%5C)
X = 12
because if you notice, each of the angles have a little arc in the corner, which means they are congruent. if all three angles are congruent, that means each angle is 60° because each triangle has a maximum value of 180°. therefore, this means it is an equilateral triangle.
that being said, each side must be equal as well. so, you can use any two sides to find x by using each one on a different side of an equation, then isolating and solving.
5x - 22 = 3x + 2 = 4x - 10
so
5x - 22 = 3x + 2
3x + 2 = 4x - 10
4x - 10 = 5x - 22
whichever one you solve for, x = 12. and if you plug in that number for x, each side equals the same number = 38