Answer:
10. 20
11. 20
Step-by-step explanation:
On the number line after 10 moves frog is at the integer -96.
Given that, a frog starts at 0 on a number line.
It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).
It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).
It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).
It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).
It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).
Hence, on the number line after 10 moves frog is at the integer -96.
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Answer:
10 + 6C
Step-by-step explanation:
C = the number of CDs Alyssa has
Alyssa has C CDs
Fran has five more than three times as many CDs as Alyssa.
Fran has 5 + (3 * C)
Fran has (5 + 3C) CDs
Jessica has twice as many CDs as Fran
Jessica has 2 * (5 + 3C) CDs
Jessica has 10 + 6C CDs
Let the height of the rocket be x, then
tan theta = h / 1 mile
h = 1 tan theta miles
But 1 mile = 5280 feets
Therefore, the height in feet = 5280 tan theta.