20 x 2=40
10 x 4=40
8 x 5= 40
so 2 bags of balloons
4 bags of horns
5 packages of candy
Trigonometry would help with this question.
The area of a regular hexagon is ((3√3)s^2)/2 where s is the side.
Plugging in 2 gives us 6√3 or 10.39 feet.
Answer: Y=-5x+30
Step-by-step explanation:
First, you have to find the slope of graph so you find the rise over run Y/X. Since the X values are being measured by 1’s, and the Y values are being measure by 5’s, your slope would be -5 (not 5 as the graph line is decreasing therefore it is negative). To find b, you find the Y intercept of the graph (where Y is when X=0) and in this case, the y intercept is 30. So the equation that describes what is occurring in the graph is Y=-5x+30 as a linear equation is written as Y=mx+b. You can check If the equation is correct by substituting the x and y values of a specific coordinate point on the graph. For example: 25= -5(1)+30. This gives you 25=25 so the equation is correct.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
40 metres covered in 6 seconds
Max speed attained after 6seconds
75 meters covered after 11 seconds
Average Speed for first 40 meters :
Speed = distance / time
Speed = 40m / 6s
Speed = 6.67m/s
To obtain the maximum speed :
Next (75 - 40) meters = 35 meters was covered in (11 - 6)seconds = 5 seconds
Speed at this point is maximum :
Hence, maximum speed = (35m / 5s) = 7m/s
Suppose, Manuel runs for an additional z seconds after reaching max speed :
Distance from starting line 6+z seconds after race started?
Distance after 6 seconds = 40 metres
Distance after z seconds = 7 * z
Total distance = (40 + 7z)
What is Manuel's distance from the starting line x seconds after the race started (provided x≥6x)?
Distance for first 6 seconds = 40 meters + distance covered after 6 seconds = (7 * (x-6))
40 + 7(x - 6)
Step-by-step explanation:
step 1. let l be the length of the rectangle
step 2. l = 2x + 4
step 3. lx = 390 yd^2
step 4. (2x + 4)x = 390
step 5. 2x^2 +4x = 390
step 6. 2x^2 + 4x - 390 = 0
step 7. -4 +- sqr(4^2 -4(2)(-390))/2(2) quadratic formula
step 8. (-4 +- sqr(3136))/4
step 9. (-4 +- 56)/4
step 10. x = 13yd, l = 2x + 4 = 2(13) + 4 = 30yd.
