Answer:
Step-by-step explanation:
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Answer:
The number of the television sets that is model p is 12
Step-by-step explanation:
Here we have total number of television sold = 40
The model p televisions sold for $30 less than the model q televisions
That is $P = $q - $30
Therefore
Let the quantity of the model p sold be X
Let the quantity of the model q sold be X
Therefore
x + y = 40
Total cost of the television = 40 * 141 = $5640
Therefore, 120*x + 90*y = 5640
Plugging in x = 40 - y in the above equation we get
4800 - 30y = 5640 or
y = -28 and
x = 68
If we put y = 40 - x we get
30x + 3600 = 5640
If we put
120*x + 150*y = 5640.........(3)
we get
x = 12 and y = 28
Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12
The time in seconds that it took the ball to travel would be = 0.25 seconds.
<h3>Calculation of speed time</h3>
Speed can be defined as the distance covered by an object per unit time.
The speed used to kick the soccer off the ground = 56 feet per second.
The height equation= −16t² + 56t
The time= ?
The formula for speed = distance/time
56= −16t² + 56t/t
56t = −16t² + 56t/t
−16t² = -56t + 56t
−16t² = 0
Make t the subject formula,
t = √1/16
t = 0.25 seconds.
Learn more about speed here:
brainly.com/question/4931057
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Answer:
The easiest way is to determine what number times 9 equals 15.
9x = 15
x = 15 / 9 = 5/3
The original number is 4 + 5/3 = 5 (2/3)
Then we look at the problem again,
5 and (2/3) minus 4 = 5/3 and
5/3 * 9 = 45/3 = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
-3p² - p - 2 = 0
a = -3; b = -1 c = -2
[-b ±√(b² - 4ac)]/2a = [1 ± √(1-4*-3*-2) ] /2*-3
=[1 ± √(1-48) ]/-6
= - [1 ±√-47]/6
= - [1 ±√47i]/6