10m ----> 3 sec
x meters ----> 50 sec
50(10) = 3x
500 = 3x
devide both in 3
x = 166.66 m
The whole number of minutes that Gianna complete each week as a function of x and y:
Since the above number is greater than 450 minutes, we get the inequality:
Also, "she can complete at most 10 workouts this week" so we deduce the inequality:
Therefore, the system of inequalities is the following:
The above system has many solutions, for example :
6x+5x-4=2x-8~~~First we simplify(add 6x and 5x)
11x-4=2x-8~~~Now add 4 to both sides
+4 +4
11x=2x-4~~~~Remove 2x from both sides now.
-2x -2x
9x=-4~~~~Now divide by 9x
÷9x ÷9x
x= -4/9
Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )
If there is 1000 seats, and the students took 45% percent of them, then 450 sixth graders went on the trip