Answer:
4 m/s downwards
Step-by-step explanation:
Velocity is given by dividing the distance by time taken to cover the diatance. Therefore, expressed as v=d/t
The distance is given as 24 m but the time given covers only half the distance. Therefore, the distance is 0.5*21=12 m
Time taken is given as 3 s
Substituting 12 m for d and 3 s for t then
V=12/3= 4 m/s
Velocity must have direction component hence velocity is 4 m/s downwards
Answer: The required system of equations representing the given situation is

Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.
We are to write a system to represent the situation.
Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.
According to the given information,
with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.
So, the equation representing this situation is

Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.
So, the equation representing this situation is

Thus, the required system of equations representing the given situation is

Because of the transversal and the parallel lines, we know that A+B=180°.
So:
5x + 20 + 9x - 92 = 180
14x - 72 = 180
14x = 180 + 72
14x = 252
x = 252/14
x = 18
A = 5x + 20
A = 5*18 + 20
A = 90 + 20 = 110
(Let’s check:
B = 9*18 - 92
B = 162 - 92
B = 70
70 + 110 = 180)
Put the top point on the first point from the top and the other one on the first point from the bottom.
They are left with 0.51 pounds of clay.
Step-by-step explanation:
Given,
Amount of clay bought = 3.8 pounds
Amount used by Martha = 
Amount used by Martha = 
Amount left after Martha's use= Total amount - amount used by Martha
Amount left = 3.8 - 0.95 = 2.85 pounds
Amount used by Scott = 
Amount used by Scott = 
Amount used by Scott = 1.14 pounds
Amount left after Scott's use = Amount left after Martha's - Amount used by Scott
Amount left after Scott's use = 2.85 - 1.14 = 1.71 pounds
Amount used by Alison = 1.2 pounds
Amount left = Amount left after Scott's use - Amount used by Alison
Amount left = 1.71 - 1.2 = 0.51 pounds
They are left with 0.51 pounds of clay.
Keywords: subtraction, fraction
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