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## Arthur D.'s Resources

(87+92+84+N)/4=90 (87+92+84+N)=360 263+N=360 N=360-263 N=97 at least is needed on the fourth test another solution... 87 is -3 from 90 92 is +2 from 90 84 is -6 from 90 -3+(+2)+(-6)=-7 you are 7 points behind before...

using algebra... x+(x+1)+(x+2)=84 3x+3=84 3x=81 x=27 x+1=28 x+2=29 27, 28, 29 are the integers   using arithmetic... 84/3=28, the mean of the numbers and also the middle number of the three numbers 28-1=27 28+1=29 27,...

3600 cm2 is the area of a square √3600=60 all sides measure 60 cm the frame is 5 cm wide all around each side of the frame has a measure of 60+5+5=70 cm P=4s P=4*70 P=280 cm is the perimeter

(4u)^(-1)=1/4u raising a number to the -1 power gives you the reciprocal of the number a^(-1)=1/a   (2/3)^(-1)=3/2   (1/7)^(-1)=7/1=7

a number written in scientific notation is written as a product of two numbers one number is between 1 and 10 and the other number is a power of ten one reason to write a number in scientific notation is to eliminate trailing zeroes and write the number in a physically shorter format 2,080,000,000 you...

1 kilometer is 0.62 of a mile 100 kilometers is 100*0.62=62 miles 100 kph is 62 mph if you are driving at 61 mph you are not exceeding the speed limit

(2/x)-(1/x2)=-3 multiply both sides by x2 2x-1=-3x2 3x2+2x-1=0 factor (3x-1)(x+1)=0 3x-1=0 3x=1 x=1/3 x+1=0 x=-1 the solutions are -1 and 1/3

assuming it's a regular hexagon... there are 6 congruent triangles the area of any one is given by the formula... A=(a^2)tan(180/n) where a=apothem and n=number of sides or number of congruent triangles (6) A=(23^2)tan(180/6) A=529(tan 30º) A=(529)(√3/3) A=(529)(0.57735) A=305...

5% of 240=0.05*240=12, but only 8 are defective, so they are not rejected or,... 8/240=1/30=0.0333333...=3.3333...%=3 1/3 % which is less than 5%

350% of 42=? 350%=3.5 or 3 1/2 3 1/2 * 42=3*42 + (1/2)*42=126+21=147 greater than 100 but less than 150

distance=rate*time d=rt choose a distance that is divisible by 36 and by 45 the LCM of 36 and 45 is 180 round trip... 360=45*t t=360/45 t=8 hours round trip 180=36*t t=5 hours this leaves him 3 hours to travel home 180=r*3 r=180/3 r=60 mph if...

3y+15=5x 3y=5x-15 y=(5/3)x-5 choose values for x that are divisible by 3 to get integer y-values x=0,  y=-5 x=3,  y=0 one more for good luck x=6,  y=5   the line looks like this:                                                     ...

look at a specific example first   x^2+6x-7=0 x^2+6x   =7 (6/2)^2=3^2=9 x^2+6x+9=7+9 (x+3)^2=16 x+3=4 x+3=-4 x=1 and x=-7   x^2+bx+c=0 (b/2)^2 which is C.

5:6:7 is the ratio 5x+2781=7x 2781=2x x=1390.5 D=5*1390.5=\$6952.5 E=6*1390.5=\$8343 F=7*1390.5=\$9733.50 Sum=\$6952.50+\$8343.00+\$9733.50=\$25,029.00

make a table of x's and y's and graph on the coordinate plane, the x-axis and y-axis y=-1+x pick values for x and determine the corresponding y values x=0,   y=-1,   (0,-1) x=1,   y=0,    (1,0) x=2,   y=1,    (2,1) x=-2, ...

A=l*w 320=l*(4/5)l 320=(4/5)(l2) (5/4)(320)=(5/4)(4/5)(l2) 5(80)=l2   (320/4=80) 400=l2 √400=√l2 20=l w=(4/5)(20) w=4*4  (20/5=4) w=16 length=20 feet width=16 feet If you don't understand square roots, maybe you understand...