Anyone know this????
1 answer:
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Yes, Bobby will have enough money if he saves for 9 weeks. You can find this through either substituting w for 9 in the equation, or solving the equation itself.
Substituting:
Substitute w for 9.
Simplify.
Solve.
255 is greater than 250, so yes, he will have enough money saved.
Solving the equation:
Original Equation
Subtract 30 from both sides.
Divide both sides by 25.
The number of weeks he needs is 8.8. When rounding it up, you get 9.
Substituting:
Substitute w for 9.
Simplify.
Solve.
255 is greater than 250, so yes, he will have enough money saved.
Solving the equation:
Original Equation
Subtract 30 from both sides.
Divide both sides by 25.
The number of weeks he needs is 8.8. When rounding it up, you get 9.
9514 1404 393
Answer:
5 hours
Step-by-step explanation:
A quick way to look at this is to compare the difference in hourly charge to the difference in 0-hour charge.
The first day, the charge is $3 more than $12 per hour.
The second day, the charge is $12 less than $15 per hour.
The difference in 0-hour charges is 3 -(-12) = 15. The difference in per-hour charges is 15 -12 = 3. The ratio of these is ...
$15/($3/h) = 5 h
The charges are the same after 5 hours.
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If you write equations for the charges, they will look like ...
y1 = 15 + 12(x -1)
y2 = 3 + 15(x -1)
Equating these charges, we have ...
15 +12(x -1) = 3 + 15(x -1)
12x +3 = 15x -12 . . . . . . . . eliminate parentheses
15 = 3x . . . . . . . . . . add 12-12x
x = 15/3 = 5 . . . . . . divide by 3
You might notice that the math here is very similar to that described in words, above.
The charges are the same after 5 hours.
