Answer:
40.00-20%= $8.00
40.00-8.00=32.00
32.00+2.60=$34.60
Step-by-step explanation:
Answer:
3 times a number is 3x
decreased by 14 is '- 14'
is 4 is '= 4'
So we have:
3x - 14 = 4
Add 14 to both sides:
3x = 18
Divide 3 to both sides:
x = 6
Step-by-step explanation:
12h + 10 > 190
this represents the $12 per hour she makes babysitting and the $10 allowance
Answer:
We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)
Step-by-step explanation:
If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] = tan⁻¹(y/x).
So, the point (x, y) is rotated counterclockwise by an angle of θ = tan⁻¹ (y/x) to perform both reflections.
Assuming the equation is:
5/(x-5) = x/(x-5) - 5x/4
We first multiply by the LCD: 4(x-5)
20 = 4x - 5x(x-5)
20 = 4x - 5x^2 + 25x
5x^2 - 29x + 20 = 0
(5x - 4)(x - 5) = 0
x = 4/5, 5
Substituting x = 5 gives denominators of 0, which is extraneous.
Substituting x = 4/5 gives a valid equation, so this is the only correct solution.