Answer:
(2,-3)
Step-by-step explanation:
2x + 2y = -2
3x -2y =12
Add the two equations together to eliminate y
2x + 2y = -2
3x -2y =12
--------------------
5x = 10
Divide each side by 5
5x/5 = 10/5
x =2
Now we need to find y
2x+2y=-2
2(2) +2y = -2
4+2y = -2
Subtract 4 from each side
4-4 +2y = -2-4
2y = -6
Divide each side by 2
2y/2 = -6/2
y =-3
Answer:
It will take them 2.5 hours to make 225 gallons of hot cocoa.
Step-by-step explanation:
In order to find out the number of gallons of hot cocoa that can be made, you need to convert the amount of gallons to cups so you can compare the amount that Melody and River can make to the same measurement. Since there are 16 cups per gallon, than: 225 x 16 = 3600 cups.
Melody can make 14 cups per minute and River can make 10 cups per minute, for a total of 14 + 10 = 24 cups per minute. Since there are 60 minutes in an hour, they can make a total of 24 x 60 = 1,440 cups per hour.
To find the amount of hours it will take to make 3600 cups per hour, we divide:
= 2.5 hours.
Let s = the smaller one of the two.
Since they are consecutive, the second one is (s + 1)
Since they are natural numbers, they cannot be negative.
We know that s(s + 1) = s + (s + 1) + 155
So:
s(s + 1) = 2s + 156
s^2 + s = 2s + 156
s^2 - s - 156 = 0
(s - 13)(s + 12) = 0
From this, it looks like s can be either 13 or -12. But since it's a natural number, it cannot be negative. So, it is 13.
s was the smaller one. The larger one is s + 1 = 14
Check: 13*14=182=13+14+155
3.60/6 = 0.60...so it costs 60 cents per oz
2 oz at 0.60 per oz = (2*0.60) = 1.20...so a 2 oz bag costs less then 1.25
Answer:
50°
Step-by-step explanation:
By intersecting secants theorem: