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Answer:
b = 7
Step-by-step explanation:
108 = -2(-5 - 7b)
Distribute -2 to the terms inside the parenthesis:
108 = 10 + 14b
Subtract 10 from both sides of the equation to isolate 14b:
108 - 10 = 10 + 14b - 10
98 = 14b
Divide 14 on both sides of the equation to solve for b:
7 = b
Answer:
The hikers are 5.9 miles apart.
Step-by-step explanation:
Let O represents the base camp,
Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,
Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.
By making the diagram of this situation,
Let D' is the point in the line AB,
Such that, AD' = CD
In triangle BD'D,
BD' = AB + AD' = 1.5 + 0.5 = 2 miles,
DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,
By Pythagoras theorem,
Hence, the hikers are 5.9 miles apart.
Given that the basket of watermelons sells for $9 before tax and the tax rate is 9%.
The tax on the basket of watermelons is given by
Therefore, the total price Tiffany pays for the basket of watermelons is $9 + $0.81 = $9.81
The tax on the basket of watermelons is given by
Therefore, the total price Tiffany pays for the basket of watermelons is $9 + $0.81 = $9.81