Answer:
They won 17 games and drew 4 games
Step-by-step explanation:
The given parameters are;
The number of points the major league soccer team finished with = 55 points
The number of games the soccer team played = 28 games
The number of losses the soccer team had = 7 losses
The number of points awarded for each win = 3 points
The number of points awarded for each tie = 1 points
The number of points awarded for each loss = 0 points
Let x represent the number of wins, y represent the number of draws, and let z represent the number losses
Therefore;
z = 7
x + y + z = 28
3·x + y + 7×0 = 55
Therefore, we have the following system of equations;
x + y = 21...(1)
3·x + y = 55...(2)
Which gives;
The inverse of the matrix is given as follows;
Therefore;
x = 17, y = 4
Answer:
3.67 hours
Step-by-step explanation:
Speed is the ratio of distance to time, it is given by the formula:
Speed = Distance / time
For annike her average speed was 11 miles per hour and she started at 7 am.
At 8 am (time = 1 hr i.e 7 am to 8 am) the distance she would have covered is given as:
11 miles/hr = distance / 1 hr
Distance = 11 miles per hr × 1 hr = 11 miles
After 8 am, the distance traveled at time t is:
11 = distance/t
distance = 11t
Total distance = 11t + 11
For Celia she started at 8 am at 14 miles per hour, at time t, the distance traveled is:
14 = distance/t
Distance = 14t
Given that both bikers traveled the same distance, hence:
14t = 11t + 11
3t = 11
t = 11/3
t = 3.67 hours
Answer:
Well isn't anyone able to write?
The slope of the line that passes through the points (x1, y1) and (x2,y2) is computed as follows:
In this case, the points are (24, 28) and (8,8), then its slope is:
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
Substituting into the general equation with m = 5/4 and the point (24, 28) we get:
Finally, the equation is
y = 5/4x - 2
Answer:
254.469 inches^3
Step-by-step explanation:
v=(pi)(r)^2(h)
pi(3)^2(9)
pi(9)(9)
pi(81)
254.469
