Answer: 14 miles
Step-by-step explanation:
In the attached figure we can see the two segments the man drove, where the 
is the distance of a road that goes from the man's home directly to his work.
It should be noted that is also the hypotenuse of the righ triangle formed. Hence, we can use the Pithagorean theorem to find this distance:
Then:
Answer:
x = 0
Step-by-step explanation:
24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7
solve the brackets by using the distribute property:
1(3x - 9) = 3x - 9
-2(2x - 10) = -8x + 20
rewrite the equation:
24 - 3x - 9 - 6 = -8x + 20 + 5x + 7
combine like therms:
27 - 3x = -3x + 27
subtract 27 from both sides:
27 - 3x - 27 = -3x + 27 - 27
- 3x = -3x
add x to both sides of the equation:
-3x + 3x = -3x + 3x
x = x or 0 = 0
to check, substitute 0 for x
24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7
anything times 0 is 0
24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7
solve:
24 + 9 - 6 = 0 + 20 + 0 + 7
27 = 27
Step-by-step explanation:
Let x be the entry fee.
Let y be the cost of each ticket in dollars.
Since Keith paid the entry fee and 10 tickets,
we have x + 10y = $30.
They will not ever have the same amount because Adele is most likely $50 ahead of Kent each time.
Step-by-step explanation:
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