Answer:
The mean of the scores is by adding up all those numbers then dividing by how many there are.
So the answer is 146.6, but if you take away 3 it will be 143.6 then taking away the decimals it'll just be 143, it might be 143 but I might be incorrect.
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
The system of equations to model the problem is y = 0.5(x - 16) for the water taxi's path and y = -5x + 36 for the water skier's path. No collision is possible between the water skier and the taxi.
a. System of Equations:
To model the problem, we need to find the equation of the water skier's path.
Using the two given points, we can find the slope of the water skier's path:
Now that we have the slope, we can use the point-slope formula to find the equation of the water skier's path:
y - y1 = m(x - x1)
Substituting the values x1 = 6, y1 = 6, and m = -5:
y - 6 = -5(x - 6)
Simplifying:
y = -5x + 36
Therefore, the system of equations to model the problem is:
y = 0.5(x - 16) - Equation of the water taxi's path
y = -5x + 36 - Equation of the water skier's path
b. Possibility of Collision:
To determine if the water skier could collide with the taxi, we need to solve the system of equations. If the x-coordinate at the point of intersection is within a certain range, then a collision is possible.
Substitute the second equation into the first equation:
0.5(x - 16) = -5x + 36
Solve for x:
0.5x - 8 = -5x + 36
5.5x = 44
x = 8
The x-coordinate of the point of intersection is 8. Since the water skier's path does not pass through the point x = 8, there is no collision between the water skier and the taxi.
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I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
One possible answer is:
5((7x3)-6).
Explanation:
75 ends in 5, so it is divisible by 5. 75/5 = 15. If we can arrange 7, 6 and 3 some way to make 15, we can use this multiplied by 5.
7x3=21, and 21-6=15; this gives us what we need!
5(21-6) = 75; 21 = 3x7, so 5((3x7)-6).
the answer is congruent. I just took the quiz and I got it right hope this helps!
To find 78% of 3 feet in inches, you can convert 3 feet to inches (giving 36 inches), then find 78% of this by multiplying by 0.78. This gives us 28.08. Therefore, 78% of 3 feet is 28.08 inches.
To find 78% of 3 feet in inches, first convert the feet to inches. Since 1 foot equals 12 inches, 3 feet is equivalent to 36 inches. Now, to find 78% of these 36 inches, multiply 36 by 0.78 (which is the decimal equivalent of 78%). This gives us 28.08. Therefore, 78% of 3 feet is 28.08 inches.
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1/3 of 225,000 can be calculated by dividing the number 225,000 by 3. The result of this operation is 75,000. Therefore, 1/3 of 225,000 is 75,000.
To find one-third of 225,000, divide 225,000 by 3. This is equivalent to multiplying by 1/3, as division and multiplication by the reciprocal are inverse operations. When calculated, the result is 75,000. This means that one-third of 225,000 equals 75,000. Understanding this relationship between division and multiplication helps simplify complex calculations and provides a straightforward method for determining fractions of large numbers, facilitating efficient mathematical problem-solving.
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Answer:
the answer is B –12 – 20x ≥ –6x + 9
on Ed genuity