Answer:
$5.83 in taxes.
Step-by-step explanation:
Discounted price of pants: 23.50 × (1 - 0.3) = 16.45
Discounted price of shirts: 16.25 × (1 - 0.25) = 12.1875
Discounted price of hats: 9.75 × (1 - 0.15) = 8.2875
2 pants, 3 shirts, and 1 hat: 16.45(2) + 12.1875(3) + 8.2875(1) = 77.75
Sales tax: 77.75 × 0.075 = 5.83125
Rounded to nearest cent: $5.83 in sales tax
We have no clue because you have not said what the speed/pace is. At a speed of 17.23 mph you will bike 112miles in 6.5 hours.
Equation: SOLVE
Solution for 10=4(x-1)-(x-8) equation:
Simplifying
10 = 4(x + -1) + -1(x + -8)
Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)
Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
10 = -4 + 4x + (8 + -1x)
Reorder the terms:
10 = -4 + 8 + 4x + -1x
Combine like terms: -4 + 8 = 4
10 = 4 + 4x + -1x
Combine like terms: 4x + -1x = 3x
10 = 4 + 3x
Solving
10 = 4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4
Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10
Combine like terms: 10 + -10 = 0
0 + -3x = 4 + -10
-3x = 4 + -10
Combine like terms: 4 + -10 = -6
-3x = -6
Divide each side by '-3'.
x = 2
Simplifying
x = 2
