Answer:
Step-by-step explanation:
x² - 6 = 10
x² = 10+6
x² = 16 = 4 * 4
x = 4
Mandy: $16.25
Jermey: $16.25 + $3.40 = $19.65
Lily: $19.65 x 2 = $39.30
For Lily you would take the total of Jermey and times it by 2.
Answer:
4 boxes
Step-by-step explanation:
In this case the number of blueberry muffins doesn't matter. Alyssa has 48 muffins that she wants to pack into 1-dozen boxes.
How many boxes are required?
48 muffins
--------------------- = 4 boxes
12 muffins/box
Answer:
f(g(5)) = 11
Step-by-step explanation:
- f(x) = x - 2
- g(x) = 3x - 2
The composite function f(g(5)) is found by plugging g(5) for x into f(x).
Let's find g(5) first.
- g(5) = 3(5) - 2
- g(5) = 15 - 2
- g(5) = 13
Next, plug this value for x into f(x).
- f(13) = (13) - 2
- f(13) = 11
∴ <u>f(g(5)) = 11</u>.
George will arrive 20 minutes before Max
It takes Max 3 hours(180 minutes) to run 30 km .
The rate can be calculated as follows:
rate = 30 / 180 = 1/6 km/ min
George uses 2 hours 20 minutes(140 minutes) to run 30 km.
The rate can be calculated as follows:
rate = 30 / 140 = 3/14 km / min
If both are to complete a 15-kilometre race, Therefore,
Max time will be
1 / 6 = 15 / t
t = 15 × 6
t = 90 minutes
George time will be
3/14 = 15 / t
3t = 210
t = 210 / 3
t = 70 minutes
Time difference = 90 - 70 = 20 minutes
Therefore, George will arrive 20 minutes earlier than Max
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