So let a=adults tickdts and c=children tickets
7a+4c=68
sincr it was 14 ppl,
let a+c=14
so, system of equations.
multiply a+c= 14 all by 4 to get
4a+4c=56 subtract this from the other
7a+4c=68
-3a=-12
a=4
plug in to either. for a
4+c=14
c=10
plug into other equation to check.
7(4)+4(10)=68
28+40=68
Answer: y = -5x/3 - 7/4
Step-by-step explanation:
The equation of a line in slope and point form is given as
y - = m(x - )
where m is the slope
= 2
= -3
m = -5/8
Substituting into the formula , we have
y - ( -3 ) = -5/8 ( x - 2 )
y + 3 = -5x/8 + 5/4
This could also be written in slope - intercept form , that means we will make y the subject of the formula
y = -5x/8 + 5/4 - 3
y = -5x/3 - 7/4
Answer:
Explanation:
The <em>average</em> is the mean. It is calculated adding all the values and dividing the sum by the number of values (data):
For the students who took the test the day before you, you can write:
Where n is the number of students who took the test first.
Thus, when the average was 69 the equation is:
When you take the test, the n + 1, the new average is 70, and the sum of the scores raised in 95 points:
Now you have a system of two equation and two unknowns, so you can solve it.
Clear the sum of the scores from the first equation:
Subsitute in the second equation:
Solve for n:
Thus, when you include your self the number of students who took the test was 25 + 1 = 26.