The two numbers are 29 and -52
Further explanation:
Let x be the larger number
and
y be the smaller number
then according to given statements
Adding both equations
Putting x = 29 in first equation
<u>Proof:</u>
Putting the values of x and y in first equation
So, The two numbers are 29 and -52
Keywords: Linear equations in two variables, Elimination method
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Answer:
Latoya will charge $10 more to tutor for 5.5 hours
Step-by-step explanation:
We shall look at the total charges of both tutors individually.
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.
This means that for the first hour, Oscar charges $25.
For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.
If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.
For 5.5 hours, the cost of Oscar's tutoring is
$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.
Now, we shall look at Latoya's tutoring cost.
f(x) =
30x,
20x,
10x,
The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.
Hence, the tutoring cost for Latoya is $20*5.5 = $110.
In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.