Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:
8x-20y = -24
8x +3y = 68
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0 -23y = -92
Now divide both sides by -23:
y = 4
Find x by plugging y=4 into either equation:
8x +3(4) = 68
8x = 68 - 12
8x = 56
x = 7
So the answer is ordered pair is (7,4)
A(n,s)=(ns^2)/(4tan(180/n)), n=number of sides, s=side length
A(8,4.6)=(8*4.6^2)/(4tan22.5)
A(8,4.6)=42.32/tan22.5 m (exact)
A(8, 4.6)≈102.17 m^2 (to nearest hundredth of a square meter)
Let us first find how much he is spending every year, to do this let's find his monthly expense and multiply it by 12.
Every month Cameron spends 1040 + 980 + 120 = 2140
To find out how much he spends yearly, multiply the monthly value by 12,
2140 x 12 = 25680
This value is more than his net income so he clearly has a surplus, but to check we can subtract 129 from every month to get:
(1040 + 980 + 120 - 129) = 2011
2011 x 12 = 24132, which shows that his budget is saving 129 surplus every month. Choice B is correct.
Answer:
-10
-I-8I = -8
-(-2) = 4
I-11I = 11
5² = 25
Answer: -10, -8, 4, 11, 25
Answer:
Let x be the price of an adult ticket and y be the price of a youth ticket.
One family spends $134 on 2 adult tickets and 3 youth tickets so we can write: 2x+3y=134
Another family spends $146 on 3 adult tickets and 2 youth tickets so we can write: 3x+2y=146
We need to find y so we eliminate x. Multiply (1) by 3 and (2) by 2 to obtain (3) and (4): 6x+9y=402
6x+4y=292
Subtract (3) and (4) and solve for y: 5y=110
y=22→$22
Step-by-step explanation:
