Answer:
adult tickets x=88 and senior tickets y=52
Step-by-step explanation:We can take adult ticket as x and senior ticket as y.
Now we will form two equations
x + y = 140
13x + 10y = 1664
This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)
We will multiply first equation with (-10) and get
-10x-10y=-1400 Than we will add to second equation and get
3x=264 => x=264/3=88 => x=88
Now we will replace x in the first equation before multiplying and get
88+ =140 => y= 140-88= 52 => y=52
adult tickets x=88 and senior tickets y=52
Good luck!!!
The tree is already 24 feet tall and growing at a rate of 2 feet per year. The tree can grow for 17 more years (17*2=34, 34+24=58) before they have to trim it.
So let's say
x=number of five dollare bills
y=number of 1 dolar bills
20 bills total
x+y=20
totla is 72 monies
72=5 times x+1 times y=5x+1y=5x+y
solve
x+y=20
5x+y=72
from here you could do 2 things: go to option 1 (longer) or option 2 (shorter)
1.
x+y=20
subtract x from both sides
y=20-x
5x+y=72
subtract 5x from boths ides
y=72-5x
subsitute
y=20-x=y=72-5x
20-x=72-5x
add 5x to both sides
20+4x=72
subtract 20 from both sides
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
2.
another way is when you got 5x+y=72 and x+y=20
you negative the second equaiton and add to th efirst
I know it sounds like voodo at first but it works
-(x+y=20)=-x-y=-20
add
5x+y=72
<u>-x-y=-20 +</u>
4x+0y=52
4x=52
divide both sides by 4
x=13
subsitute
x+y=20
13+y=20
subtract 13
y=7
SA = 2πr² + 2πrh
• Factorize right side
SA = 2πr(r² + h)
• Divide both sides by 2πr
SA/2πr = r² + h
• Move r² to left side
h = r² - (SA/2πr)
When you divide powers, you subtract them.
12-3=9
B. 5^9 is the answer.
I hope this helps!
~kaikers
