X=number of boys.
y=number of girls.
we suggest this system of equation
x/y=9/7
x=y+116
We solve this system of equation by substitution method.
(y+116)/y=9/7
7(y+116)=9y
7y+812=9y
9y-7y=812
2y=812
y=812/2=406
x=y+116
x=406+116=522
answer: At the school there are 522 boys and 406 girls.
to chek.
522/406=1.2857...
9/7=1.2857...
The number of boys (522) is equal to 406+116=522.
Answer:
72 km
Step-by-step explanation:
We can use basic logic to find how many miles you run in 12 weeks.
If you run for 2 km 3 times a week, then you run 6 km per week because 
.
If you continue this for 12 weeks, that means you will have ran 
km, which can simplify down to 72 km.
Hope this helped!
Answer:
9. -6x+10
10. -24x +18y
11. 15y - 10z
12. -8x- 28
13. -7x + 14
14. -24x +12
Step-by-step explanation:
Answer:
The set is closed, connected and simyple connected
Step-by-step explanation:
A set is closed if contains all the point in its boundaries. A set is open if it doesn't contain any of the points in its boundaries. In this set, all the points of the boundaries are included because it is using the less than or equal to and greater than or equal to define the set.
The set is connected if you can find a path inside the set to connect any two points of the set. If you make the graph of the set you would see the set covers this condition because the set hasn't any division.
The set is simply connected if you can draw a closed curve inside the set and in the interior of the curve there are only points of the set. In other words, if the set has holes is not simply connected. This set doesn't have holes, it's simply connected.
Short Answer 10
The tough part is the number of drinks.
Let the number of them be x
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
The tip is not included in the tax, and the tax does not include the tip. You can shorten this up quite a bit.
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
(1 + 10/100 + 7 /100) (4.5x + 3) ≤ 60 Combine the tax, tip, scone and Lattes
(1.17) * (4.5x + 3) ≤ 60 Divide by 1.17
4.5x + 3 ≤ 60 / 1.17
4.5x + 3 ≤ 51.28 Subtract 3
4.5x ≤ 48.28 Divide by 4.5
x ≤ 48.28 / 4.5
x ≤ 10.72
Discussion.
There's a problem. He can't buy 0.72 of a Latte. He can only buy 10 of them. In this case we must round down so what happens if he buys 10 lattes? Does the price the taxes and the tip allow him to get another Latte? The answer should be no because then you would be 11 lattes and the tip and taxes would push you over 60 dollars. But be careful, sometimes things like this can alter you answer..
Answer: 10 <<<<
