Answer:
If there are 125 girls, and the ratio is boys to girls, then you can divide 125 by 5 to get the multiplication factor. This would be 25. Now you can multiply 25 by 4 to get how many boys were in the gym, which would be 100. To get back to your original ratio, you can divide 100/125 by 25 on top and bottom to get 4:5, or 4/5. :)
Step-by-step explanation:
Answer:
The required function is:
Step-by-step explanation:
We have to represent the given scenario as an equation or function
Let x be the number of miles driven in a week
Let C(x) be the function of the number of miles driven
As it is given that charges are 150 per week, these charges are constant so they will be used as it is.
It is also given that the cost of car is 0.45 per mile so for x miles the cost will be:
0.45x
Combining both terms, we get
Hence,
The required function is:
Answer:
24 premium tickets were sold.
Step-by-step explanation:
Let :
Deluxe ticket = x
Regular tickets = x + 78
Premium tickets = y
x + (x + 78) + y = 208
4x + 2(x+78) + 10y = 714
2x + y = 208 - 78
4x + 2x + 156 + 10y = 714
2x + y = 130 - - - - - (1)
6x + 10y = 558 - - - - (2)
Now we can solve the simultaneous equation using elimination method :
From (1)
y = 130 - 2x
Put y = 130 - 2x in (2)
6x + 10(130 - 2x) = 558
6x + 1300 - 20x = 558
- 14x = 558 - 1300
-14x = - 742
x = 742 / 14
x = 53
Put x = 53 in y = 130 - 2x
y = 130 - 2(53)
y = 130 - 106
y = 24
Answer:
Step-by-step explanation:
2x + 4 = 6x + 2
Bringing like terms on one side
4 - 2 = 6x - 4x
2 = 2x
2/2 = x
1 = x
