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Vikentia [17]
3 years ago
6

Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls

and 3 baseballs for a total of $23.75. The second athletic director bought 2 tennis balls and 7 baseballs for a total of $31.25.
What is the price of a baseball?
Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

This question can be solved using 2 equations since there are 2 unknowns. First, let x = price of the tennis ball and y = price of the baseball. The resulting equations are: (1) 5x +3y = 23.75 and (2) 2x + 7y = 31.25. Solving the 2 equations simultaneously, you get, x = 2.5 and y = 3.75. The price of the baseball is then $3.75.

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Step-by-step explanation:

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A rock is dropped off a 500-foot cliff. After 1 second the rock is traveling 32 feet per second then after 4 seconds the rock st
professor190 [17]

Answer:

<u>Part A:</u>

<u>The equation describing the relationship between speed and time is:</u>

<u>s = 32t</u>

<u>Ordered pairs of the form (speed, time) are:</u>

<u>(32, 1)</u>

<u>(64, 2)</u>

<u>(96, 3)</u>

<u>(128, 4)</u>

<u>Part B:</u>

<u>s = 32t</u>

<u>s = 32 * 5 = 160 feet per second</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3.  Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

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3 years ago
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Answer:

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Step-by-step explanation:

hope this helped

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Answer:

In physics, the line of action (also called line of application) of a force F is a geometric representation of how the force is applied. It is the line through the point at which the force is applied in the same direction as the vector F→.[1][2]

The line of action is shown as the vertical dotted line. It extends in both directions relative to the force vector, but is most useful where it defines the moment arm.

The concept is essential, for instance, for understanding the net effect of multiple forces applied to a body. For example, if two forces of equal magnitude act upon a rigid body along the same line of action but in opposite directions, they cancel and have no net effect. But if, instead, their lines of action are not identical, but merely parallel, then their effect is to create a moment on the body, which tends to rotate it.

Calculation of torque

References

Last edited 20 days ago by Belomaad

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Torque

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Step-by-step explanation:

Formula

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