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Answers by Arthur D.

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...

give solution (answer)

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...

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

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.

Lawn dimensions (answer)

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)

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

Anne's Problem (answer)

draw a diagram   P-P-P-P-P-P-P-P-P-P-P-P-P   there is a post at each end and 11 posts in between the 11 posts divides the 48 feet into 12 equal pieces (48/12=4) each post will be 4 feet from the previous one  you asked "how far is each post from the...

k=# of knives s=# of spoons f=# of forks 327=k+s 348=k+f   he lost 10% of the forks so he has 90% of the forks left; 90%f=0.9f he lost 3 spoons so he has s-3 spoons left the number of forks and spoons are the same 0.9f=s-3 s=0.9f+3 substitute...

f(x)=5x+2, g(x)=x2+1 g(f(x))=? replace the x in g(x) with 5x+2 g(5x+2)=(5x+2)2+1             =25x2+20x+4+1             =25x2+20x+5 which is D.