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max2010maxim [7]
2 years ago
6

Seth’s bank charges $5 a month to maintain a checking account and $0.50 for each check Seth writes. last month, Seth paid a tota

l of $6.50 in checking account fees. How many checks did he write?
A) 1

B) 2

C) 3

D) 4
Mathematics
1 answer:
avanturin [10]2 years ago
4 0

Answer:

C) 3

Step-by-step explanation:

Because she paid 6.50, you subtract that by 5 and it will get you 1.50 and then you divide that by .50 and it gets you your answer.

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The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
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Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

K = Fd²

But:

Force (F) = 0.006 N

Distance (d) = 4 m

Constant (K) =?

K = Fd²

K = 0.006 × 4²

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Therefore, the relationship between the force (F) and the distance (d) is:

F = K/d²

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Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

Force (F) = 0.045 N

Constant (K) = 0.096 Nm²

Distance (d) =?

F = K/d²

0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

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