We have been given a system of equations
and
. We are asked to find the solution of our given system of equations.
To solve our system of equations, we will equate both equations as:









Upon substituting
in equation
, we will get:



Therefore, the solution of our given system of equations would be
and option A is the correct choice.
The tangent function gives the ratio of vertical to horizontal distance in this case.
.. vertical distance = (horizontal distance)*tan(angle of depression)
.. = (40 m)*tan(50°)
.. vertical distance ≈ 47.7 m
Answer: 61 children attended the musical last night.
Step-by-step explanation:
Let x represent the number of children that attended the musical last night.
Let y represent the number of adults that attended the musical last night.
The musical charges $3.50 for children's tickets and $5.00 for adults tickets. If the tickets sales totaled $823.50. It means that
3.5x + 5y = 823.5- - - - - - - - - - 1
Last night, twice as many adults attended the musical than children. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
3.5x + 5 × 2x = 823.5
3.5x + 10x = 823.5
13.5x = 823.5
x = 823.5/13.5
x = 61
y = 2x = 2 × 61
y = 122
You have to subtract 4.35 from 15.60 to see for all the children
3x+4.35 = 15.60
9514 1404 393
Answer:
- 3
- -1
Step-by-step explanation:
1. The value can be read from the graph. At 3 units to the right of the vertical axis, the line is 3 units above the horizontal axis. The independent variable has a value of 3 at that point.
__
2. The dependent variable has a value of -5 at the next grid line just below the bottom of the graph shown. The value of the independent variable is -1 at that point.