Since they buy 2 $6.50 tickets, they already spend $13 without buying any popcorn or drinks.
For the expression, you can write-
$5.50d + $6.00p + $13 // d representing however many drinks they buy and p representing the amount of popcorn they buy.
This expression will give you the total amount of money spent with varying amounts of drinks and popcorn bought.
Step-by-step explanation:
In the picture above.
Number 2 I suppose that as a straight line
so , it becomes easy to solve for y angle.
I hope that it's a clear solution.
Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
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6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
Answer:
5
Step-by-step explanation:
for the first gear
revolutions/teeth
1 / 24
2 / 48
3 / 72
4 / 96
5 / 120
6 / 144
for the second gear
revolutions/teeth
1 / 40
2 / 80
3 / 120
4 / 160
<em>the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.</em>
the way to get that amount of teeth is
the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.
120 teeth are 5 revolutions for gear1 and 3 por gear2
by solving the first equation you'll get x= -24/13
if you solve the second option (B) then you'll the same result i.e x=-24/13
so option C is correct
