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Ksju [112]
4 years ago
6

You solve a system of equations in which x represents the number of adult tickets sold and y represents the number of student ti

ckets sold. Can (-6,24) be the solution of the system? Explain your reasoning.
Mathematics
1 answer:
Dmitry [639]4 years ago
6 0
Nope..... i don't think you can sell -6 tickets... lol
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In major league soccer, standings are determined by points. Three points are awarded for each win, 1 point is awarded for each t
Vlada [557]

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;

\begin{bmatrix}1 & 1\\ 3 & 1\end{bmatrix} \begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}21 \\ 55\end{bmatrix}

The inverse of the matrix is given as follows;

\dfrac{1}{1 - 3}  \times \begin{bmatrix}1 & -3\\ -1 & 1\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix}

Therefore;

\begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix}  \times  \begin{bmatrix}21 \\ 55\end{bmatrix}  =  \begin{bmatrix}17 \\ 4\end{bmatrix}

x = 17, y = 4

3 0
3 years ago
On a long-distance biking trip, annike started biking at 7 a.M., and her average speed was 11 miles per hour. Celia started at 8
gladu [14]

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

5 0
3 years ago
Are you able to write?
Volgvan

Answer:

Well isn't anyone able to write?

3 0
4 years ago
Read 2 more answers
The function that passes through thepoints (24, 28) and (8,8)Is?
icang [17]

The slope of the line that passes through the points (x1, y1) and (x2,y2) is computed as follows:

m=\frac{y_2-y_1}{x_2-x_1}

In this case, the points are (24, 28) and (8,8), then its slope is:

m=\frac{8-28}{8-24}=\frac{-20}{-16}=\frac{5}{4}

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:

\begin{gathered} 28=\frac{5}{4}\cdot24+b \\ 28=30+b \\ 28-30=b \\ -2=b \end{gathered}

Finally, the equation is

y = 5/4x - 2

3 0
1 year ago
Easy geometric shapes question #4 help please!
FromTheMoon [43]

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

3 0
3 years ago
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