There is 6 people in the van that isn't full. I am counting. They are counting students. They are going to group them in 2 vans of 11 people and 1 van of 6 people.
Answer: y = -35x + 105
Step-by-step explanation:
The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).
The definition of slope is
m = (y2 - y1)/(x2 - x1)
= (0-105)/3-0
= -105/3
= -35
The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:
y = -35x + 105
Answer:
379.72 meters
Step-by-step explanation:
At first, the balloon was 300 m away at 25°, so its height can be determined as:
After 5 minutes, the balloon was at 60°, so its height can be determined as:
To find the distance traveled by the balloon during that period, simply subtract the second height by the first one:
The balloon traveled 379.72 meters in that time.
<h3><u>The value of the first number, x, is equal to 18.</u></h3><h3><u>The value of the second number, y, is equal to 90.</u></h3><h3><u>The value of the third number, z, is equal to 77.</u></h3>
x + y + z = 185
y = 5x
z = y - 13
Because we already have a value for y, we already have a value for z. We can now solve for a value of x.
x + 5x + 5x - 13 = 185
Add 13 to both sides.
x + 5x + 5x = 198
Combine like terms.
11x = 198
Divide both sides by 11.
x = 18
Because we have a value of x, we can solve for the exact values of y and z.
y = 5(18)
y = 90
z = (90) - 13
z = 77
