He first three towers in a sequence are shown. the $n^\text{th}$ tower is formed by stacking $n$ blocks on top of an $n \times n$ square of blocks. how many blocks are in the 99th tower? [asy] pair a; for(int i = 1; i< 4; ++i){ a = ((i-1)*(i+4)/2,0); for(int k = 0; k < = i; ++k){ draw(a+(k,+(k, i)); draw(a+(0,+(i, k)); draw(a+(i-1,i++(i, i+k)); } draw(a+(i-1,+(i-1,2*i)); draw(a+(i,+(i,2*i)); } label("1", (1-1/2,0),s); label("2", 5/2 + (2-1/2,0),s); label("3", 6 + (3-1/2,0),s); [/asy]

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

add -60 to 120 which will result in : 2x+3y=180

then subtract 2x: 3y=-2x+180

lastly, divide by 2: y= -2/3x+60

hope this is the answer you're looking for: )

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