Answer:
(10/3, 2/3)
Step-by-step explanation:
You may find it easier to write these two equations x+y=4 2x-y=6 in a column:
x+y=4
2x-y=6
Adding these together will eliminate y:
3x = 10. Then x = 10/3.
Substituting 10/3 for x in the first equation results in:
10/3 + y = 4
Clear fractions by multiplying all three terms by 3:
10 + 3y = 12
Then 3y = 2, and y = 2/3.
The solution is (10/3, 2/3)
Take to total number of people attending and subtract the number of adults. The remainder are the children
2,451 - 745 = 1,706
Answer:
Step-by-step explanation:
A = Pe^rt
A = 1.4P
r = 0.02
t = ?
e^0.02t = 1.4
ln both sides
0.02t = ln(1.4)
t = ln(1.4)/0.02
t ~ 16.8 years
Answer:
24 edges, 24 vertices, 8 faces - For that weird Cylender thing.
Step-by-step explanation:
There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.
Answer:
45, 60, 75
Step-by-step explanation:
The ratio of the angles are 6:8:10
Multiply by x to get the angle measures
6x, 8x,10x
We know the sum of the angles is 180 for a triangle
6x+8x+10x = 180
Combine like terms
24x = 180
Divide each side by 24
24x/24 = 180/24
x =7.5
Each angle is
6x = 6(7.5) =45
8x = 8(7.5) =60
10x = 10*7.5 = 75
