Answer:
36 1/4
Step-by-step explanation:
you had to divide the miles into gallons
The correct answer is 12.25
Adults = 9
Children = 2
Let x be the number of adults.
11-x is the number of children.
22x + 15(11-x) = 228
22x + 165 - 15x = 228
22x - 15x = 228 - 165
7x = 63
7x / 7 = 63 / 7
x = 9 number of adults.
11 - x = 11 - 9 = 2 number of children.
To check:
22x + 15(11-x) = 228
22(9) + 15(11-9) = 228
198 + 30 = 228
228 = 228
16x⁴ - 121x² = 0
x²(16x²) - x²(121) = 0
x²(16x² - 121) = 0
x²(16x² + 44x - 44x - 121) = 0
x²(4x(4x) + 4x(11) - 11(4x) - 11(11)) = 0
x²(4x(4x + 11) - 11(4x + 11)) = 0
x²(4x - 11)(4x + 11) = 0
x² = 0 or 4x - 11 = 0 or 4x + 11 = 0
√(x²) = √(0) + 11 + 11 - 11 - 11
x = 0 or 4x = 11 or 4x = -11
4 4 4 4
x = 2³/₄ or x = -2³/₄
Solution Set: {0, ±2³/₄}
