Answer:
The Prime Factorization of 80 is, 2 × 4 × 10, 2 × 2 × 2 × 2 × 5 and 2 × 4 × 10
Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and 2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.
24 × 5=120, Therefore it's the only incorrect question.
6d - 8f + 2
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Answer:
108,000 joules
Step-by-step explanation:
Kinetic energy, k = 1/2 mv^2
Where,
m = mass of the object in kilogram
v = velocity in meters per seconds
If
Velocity of an object = 20 meters per seconds
Kinetic energy = 48,000 joules
Solve for m
k = 1/2 mv^2
48,000 = 1/2 × m × 20^2
48,000 = 1/2 × m × 400
48,000 = 200m
m = 48,000 / 200
m = 240 kg
If it speeds up to 30 meters per second, then what is its new kinetic energy?
k = 1/2 mv^2
Using m = 240 kg
k = 1/2 mv^2
= 1/2 × 240 × 30^2
= 1/2 × 240 × 900
= 216,000 / 2
= 108,000 joules
The new kinetic energy = 108,000 joules
Answer:
The correct option is A.
Step-by-step explanation:
It is given that Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.
Total number of favorite movies is

Therefore Colton has 20 movies in the list of favorite movies.
For every 5 movies on the list, there are 2 movies of required category.

For every 20 movies on the list, there are 8 movies of required category.
Out of 20 movies we have 8 comedy movies, therefore the required category is comedy movie.
The ratio of comedy movie and total movies is

Therefore we can say that for every 5 movies on the list, there are 2 comedy movies. Option A is correct.
Answer: $48
Step-by-step explanation: take 0.05 times 60 + 45