2y = 5 hope this helps :)
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A = 2s
c + 2s = 17 .....c + a = 17 (I subbed in "a" for 2s)
2c + a = 24
c + a = 17 .....(-1)
2c + a = 24
---------------
-c -a = -17...result of multiplying by -1
2c + a = 24
---------------add
c = 7
2c + a = 24
2(7) + a = 24
14 + a = 24
a = 24 - 14
a = 10
a = 2s
10 = 2s
10/2 = s
5 = s
so, senior tickets (s) cost $ 5, adult tickets (a) cost $ 10, and child tickets (c) cost $ 7
1 adult ticket + 1 senior ticket would cost $ 15
So he bought 12 CDs and DVDs (in total), CDs + DVDs = 12
Each cd is 2 and each cd is 3
Total spent = 31 (2*x + 3*y)
I call x cds and y dvds
x+y = 12
2x+3y = 31
Solve for y
Move x to the right with changed sign
y = 12-x (DVDs, you can also write x = 12-y)
And substitute 12-y in the equation
2x + 3(12-x) = 31
2x + 36 - 3x = 31
2x - 3x = 31 - 36
-x = -5
x = 5 (CDs)
To find DVDs let's rewrite y = 12-x
y = 12-5 = 7 (DVDs)
9514 1404 393
Answer:
11.4
Step-by-step explanation:
Put the given coordinates in the distance formula and do the arithmetic.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130
d ≈ 11.4 . . . . units
The distance between the two points is about 11.4 units.
