Answer:
200 miles
Step-by-step explanation:
40 x 5 = 200
Answer:
1.x=12
2.y=2
3.x=2
Step-by-step explanation:
Solving an Inequality with No Solution
Write the inequality.
Distributive Property
Subtract 8x from each side
Simplify.
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
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You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
To find your answer you'd first add up all of their laps that they had completed over the 3 weekends.
8,597 + 11,065 + 9,211 =28,873 laps.
Afterwards, you'd subtract 28,873 from the original 40,000 goal and end up with 11,127 more laps as your answer.
