Mark is right on with his solution. I just want to show you that patterns exist in mathematics. If you recognize them it can make your work a lot easier. However, remember that you must show your work for your teacher. 1/2 + 1/4 + 1/8 + 1/16 + + 1/512=? 1/2 + 1/4=3/4 1/2...

the train travels for 1.5 hours at 90 km/hr for a distance of 135 km the train travels for 2 hours at 110 km/hr for a distance of 220 km distance=rate*time total distance=rate*total time 355=rate*3.5 3550=rate*35 rate=3550/35 rate=101.42857 km/hr  is the average...

let d=# of days let m=amount of money spent per day d*m=1200 d=1200/m (d+2)(m-50)=1200 dm+2m-50d-100=1200 substitute 1200/m for d (1200/m)(m)+2m-(50)(1200/m)-100=1200 1200+2m-(60,000/m)=1300 multiply both sides by m 1200m+2m2-60,000=1300m 2m2+1200m-1300m-60,000=0 2m2-100m-60,000=0 divide...

44/2=22 which is half of the perimeter write the prime factorization of 112 112=2*56=2*2*28=2*2*2*14=2*2*2*2*7=(2*2*2)*(2*7)=8*14 and 8+14=22 the rectangle is 8m by 14m

Look at the previous problem that Paul M. did for you. It is the same type of problem. The answer is a slight variation of the above answer. You are adding 3 to each term to get the next term instead of adding 4 to each term. Give it a try. You can do it !

let x=the price of the fourth item 1.5+3+4+x=(1.5)(3)(4)(x) 8.5+x=18x 8.5=18x-x 8.5=17x 85=170x x=85/170 x=0.5 x=\$0.50 is the price of the fourth item

the answer is "parallel" but that is not listed if you must use one of the words listed the answer would be coplanar

7x-3y=10 -3y=10-7x 3y=7x-10 y=(7/3)x-(10/3) the slope of a perpendicular line is the negative reciprocal of the slope of the line it is perpendicular to therefore, -3/7 is the slope which is C.

area=912 and perimeter=134 in a problem like this the simplest thing to do is... 134/2=67 (half of the perimeter) factor 912 2*2*2*2*3*19=(2*2*2*2*3)*(19)=48*19 and 48+19=67 the lawn is 19 by 48 (the length plus the width equals half of the perimeter)

each square has a side length of √6400=80 cm draw two squares side by side          80    80     80                80       80    80   6*80=480...

an=a1+(n-1)d is the Arithmetic Sequence Formula an=1200+(n-1)(-50) an=1200-50n+50 an=1250-50n

2/(y+1)+3/(y-1) [2(y-1)+3(y+1)]/(y+1)(y-1) (2y-2+3y+3)/(y+1)(y-1) (5y+1)/(y+1)(y-1) or (5y+1)/(y2-1) because (y+1)(y-1)=y2-1

20+30=50 total students 50*56=2800 total points 30*60=1800 total points for girls 2800-1800=1000 total points for boys 1000/20=50 mean for boys

how many ways can you choose 10 houses out of 20 ? for each group of 10 houses the first person gets, the second person gets the remaining 10 houses use n!/r!(n-r)! where n=20 and r=10 20!/10!(20-10)! 20!/(10!)(10!) (20*19*18*17*16*15*14*13*12*11)/(10*9*8*7*6*5*4*3*2) simplify...