$15 because a mean would allow him to spend $250 over the five months BUT he has already spent $235.
$250 - $235 = $15
<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Answer:
m∡A = 14
m∡B = 76
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees.
So 3x -7 + 11x - 1 = 90, which we can solve.
14x - 8 = 90
14x = 98
x = 98/14 = 7
with the knowledge of x=7, we can find the angles:
m∡A = 3·7 - 7 = 14
m∡B = 11·7 - 1 = 76
Supplementary angles are angles that add up to 180 degrees, so the next assignment is very comparable, try it!
<h2>
Answer:</h2>
Since both angles are vertical angles, we need to set them equal to each other.
The final answer is <em>x = 10</em>.
1 lap to ten minutes or 1:10 due to the fact that it takes ten minutes to run one lap. hope this helps, have a nice day :)
