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N76 [4]
3 years ago
7

Sarah bought 96 pencils and 84 erasers to make gift bags for her friends.

Mathematics
2 answers:
DIA [1.3K]3 years ago
5 0

Answer: D. 16

Step-by-step explanation: The easiest way to solve this is just by dividing the options with the information you already have.

96 divided by 6 = 16

84 divided by 6 = 14

96 divided by 8 = 12

84 divided by 8 = 10.5

96 divided by 12 = 8

84 divided by 12 = 7

96 divided by 16 = 6

84 divided by 16 = 5.25

The answer would be 16, It's the most she's able to put in every bag for an equal number.

Alexeev081 [22]3 years ago
3 0

Answer:

C. 12

Step-by-step explanation:

the greatest common factor between 84 and 96 is 12

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A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

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Answer:

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Step-by-step explanation:

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