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checkley77 answered: 12560 problems
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Radicals/308053: The diagonal of a square is 7 radical 2. What is the length of each side?
1 solutions

Answer 220303 by checkley77(12569) About Me  on 2010-05-24 16:30:38 (Show Source):
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X^2+X^2=(7SQRT2)^2
2X^2=49*2
2X^2=98
X^2=98/2
X^2=49
X=SQRT49
X=7 ANS. FOR THE LENGTH OF THE SIDES OF THE SQUARE.


Percentage-and-ratio-word-problems/308056: A 18 foor tree casts a shadow 11 feet long. At the same time a tree that is 27 feet tall will cast a shadow that is how long?
1 solutions

Answer 220302 by checkley77(12569) About Me  on 2010-05-24 16:25:45 (Show Source):
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18/11=27/X
18X=11*27
18X=297
X=297/18
X=16.5 FT IS THE LENGTH OF THE SHADOW.


Geometry_Word_Problems/308057: what is the radius of a circle with 6ft diameter
1 solutions

Answer 220301 by checkley77(12569) About Me  on 2010-05-24 16:22:59 (Show Source):
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RADIUS=DIAMETER/2
R=6/2=3 FT IS THE RADIUS.


Probability-and-statistics/307916: You work at a T-shirt printing business. 564 of 4,700 T-shirts shipped
are printed improperly.
Predict the number of improperly printed T-shirts in a batch of
2,000.
1 solutions

Answer 220300 by checkley77(12569) About Me  on 2010-05-24 16:21:00 (Show Source):
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564/4,700=X/2,000
4,700X=564*2,000
4,700X=1,128,000
X=1,128,000/4,700
X=240 ARE EXPECTED TO BE MISSPRINTS.


Rectangles/307951: a rectangular garden is 1ft by 12ft. a brick walkway is placed diagonally in the garden. how long is the walkway?
1 solutions

Answer 220294 by checkley77(12569) About Me  on 2010-05-24 15:56:48 (Show Source):
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1^2+12^2=C^2
1+144=C^2
C^2=145
C=SQRT145
C=12.04 FT. IS THE LENGTH OF THE DIAGONAL.


Miscellaneous_Word_Problems/307959: In the last election, Tara received 45% of the votes cast. Her only opponent, Kimberly,received 3861 votes. How many people voted for Tara in the election.
1 solutions

Answer 220293 by checkley77(12569) About Me  on 2010-05-24 15:53:54 (Show Source):
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(1-.45)=.55 VOTES RECEIVED BY KIMBERLY
.55X=3,861
X=3,861/.55
X=7,020 ANS. FOR THE TOTAL NUMBER OF VOTES.


percentage/307962: phillip chargered $400 worth of goods on his credit card. Oh his first bill, he was not chargered any interest, and he made a payment of $20. He then charged another $18 worth of goods. On his second bill a month later, he was charged 2% interest on his entire unpaid balance. How much iinterest was phillip charged on his second bill?
1 solutions

Answer 220292 by checkley77(12569) About Me  on 2010-05-24 15:49:52 (Show Source):
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400-20+18=398 WAS THE AMOUNT OF THE SECOND BILL.
398*.02=$7.96 IS THE INTEREST.


Square-cubic-other-roots/307985: if y=sqrt X+2, what would Y be if you plugged in 0,1,2,3,4, for the letter X? round to three decimal places where necessary.
1 solutions

Answer 220289 by checkley77(12569) About Me  on 2010-05-24 15:44:33 (Show Source):
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y=sqrt X+2, X=0,1,2,3,4,
Y=SQRT(0+2)=SQRT2=1.414 ANS
Y=SQRT(1+2)=SQRT3=1.732 ANS.
Y=SQRT(2+2)=SQRT4=2 ANS.
Y=SQRT(3+2)=SQRT5=2.236 ANS.
Y=SQRT(4+2)=SQRT6=2.449 ANS.


Proportions/308014: Coffee drinkers. Among 100 coffee drinkers, 36 said they preferred their coffee black and the rest did not prefer their coffee black. Find the ratio of those who prefer black coffee to those who prefer nonblack coffee.
1 solutions

Answer 220287 by checkley77(12569) About Me  on 2010-05-24 15:35:14 (Show Source):
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36/(100-36)=36/64=9/16 ans.


Travel_Word_Problems/308021: starting from point A on a flat play ground, a child walks 10 yards due north , then 6 yards due east , and then 2 yards due south, arriving at point B. How far apart, in yards, are points A and B
1 solutions

Answer 220286 by checkley77(12569) About Me  on 2010-05-24 15:31:52 (Show Source):
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If you draw a diagram of the problem you'll get the following:
From the starting point go 10 units up (NORTH)
Then go 6 units to the right (EAST).
Now go 2 units down (SOUTH)
You are now 8=(10-2) units UP & 6 units RIGHT of the starting point.
Now draw a line from the starting point to the end point.
You now have a triangle that is a right triangle with length=6 & height=8.
Now find the hypotenuse using the formula a^2+b^2=c^2.
You are now 8 yards north & 6 yards east of the starting point.
6^2+8^2=c^2
36+64=c^2
100=c^2
c=sqrt100
c=10 miles between the starting point & the end point.


Linear-equations/308029: Given the linear equation:
- Find the y-coordinates of the given points. Show your work.
- Plot those points and graph the linear equation.

y = 4x - 1

(0, ), (1, ), (2, )
1 solutions

Answer 220283 by checkley77(12569) About Me  on 2010-05-24 15:26:24 (Show Source):
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y = 4x - 1
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C4x+-1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -1)
(0,-1), (1,3), (2,7 )


Radicals/307707: Lisa can shovel snow from her driveway in 65 minutes. Jim can do the same job in 55 minutes. How long would it take Lisa and Jim to shovel the driveway together?
1 solutions

Answer 220106 by checkley77(12569) About Me  on 2010-05-23 19:43:17 (Show Source):
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1/65+1/55=1/X
(55+65)/55*65=1/X
120/3,575=1/X
120X=3,575
X=3,575/120
X=29.79 MINUTES.


test/307712: It takes 25 pounds of seed to completely plant a 3 acre field. How many acres can be planted per pound of seed?
1 solutions

Answer 220104 by checkley77(12569) About Me  on 2010-05-23 19:38:44 (Show Source):
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3/25=.12 ACRES PER POUND.


Radicals/307718: the square root of x^2=5
1 solutions

Answer 220101 by checkley77(12569) About Me  on 2010-05-23 19:11:40 (Show Source):
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x^2=5
X=SQRT5
X=2.236 ANS.


Rectangles/307630: please explain how to calculate the height, width, and length of a rectangle given only the numerical volume value of 90?
1 solutions

Answer 220099 by checkley77(12569) About Me  on 2010-05-23 19:10:05 (Show Source):
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THERE ARE MULTIPLE SOLUTIONS TO THIS PROBLEM.
LWH=90
3*15*2=90
5*3*6=90
9*5*2=90


Graphs/307639: Given one point on the graph (0, -11) and the slope, m = -2, develop an equation in the slope-intercept format
1 solutions

Answer 220093 by checkley77(12569) About Me  on 2010-05-23 18:42:24 (Show Source):
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Y=mX+b WHERE m=THE SLOPE & b=THE Y INTERCEPT.
-11=-2*0+b
-11=b
Y=-2X-11


Rectangles/307647: I need help in getting an answer to this problem. What formula is used. Perimeter of a rectangle. The width of a rectangular playground is 2x 5 feet, and the length is 3x 9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.
1 solutions

Answer 220091 by checkley77(12569) About Me  on 2010-05-23 18:39:30 (Show Source):
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P=2(2X+5)+2(3X+9)
P=4X+20+6X+18
P=10X+38 IS THE EQUATION FOR THE PERIMETER IN TERMS OF X.
IF X=4 THEN:
X(4)=10*4+38
X(4)=40+38
X(4)=78 ANS.


Linear-systems/307657: Al sold a total of 300 Pizzas and Gyros. Pizzas were sold at $8 each and Gyros for $6. Total sales came to $2,000. How many of each was sold?
1 solutions

Answer 220080 by checkley77(12569) About Me  on 2010-05-23 18:21:20 (Show Source):
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P+G=300 OR P=300-G
8P+6G=2,000
8(300-G)+6G=2,000
2,400-8G+6G=2,000
-2G=2,000-2,400
-2G=-400
G=-400/-2
G=200 GYROS WERE SOLD.
P=300-200
P=100 PIZZA WERE SOLD.
PROOF:
8*100+6*200=2,000
800+1,200=2,000
2,000=2,000



Points-lines-and-rays/307659: The measure of an angle is 3 more than twice the measure of its supplement. Find the measure of the angle.
1 solutions

Answer 220077 by checkley77(12569) About Me  on 2010-05-23 18:15:45 (Show Source):
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X+2X+3=180
3X=180-3
3X=177
X=177/3
X=59 DEGREES IS THE SMALLER ANGLE
180-59=121 DEGREES IS THE LARGER ANGLE.
PROOF:
59+2*59+3=180
59+118+3=180
180=180


Rectangles/307660:

find the dimensions of a rectangle if the area is 4cm and the perimeter is 14cm

1 solutions

Answer 220075 by checkley77(12569) About Me  on 2010-05-23 18:11:00 (Show Source):
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XY=4 OR X=4/Y
2X+2Y=14
2(4/Y)+2Y=14
8/Y+2Y=14
(8+2Y*Y)/Y=14
8+2Y^2=14Y
2Y^2-14Y+8=0
2(Y^2-7Y+4)=0
Y+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
Y=(7+-SQRT[7^2-4*1*4])/2*1
Y=(7+-SQRT[49-16])/2
Y=(7+-SQRT33)/2
Y=(7+5.74)/2
Y=12.74/2
X=6.37 ANS.
X=(7-5.74)/2
Y=1.26/2
Y=.64 ANS.


Radicals/307662: Find LCM of (3+5v), (9-25v^2), and (3-5v)
1 solutions

Answer 220070 by checkley77(12569) About Me  on 2010-05-23 17:44:56 (Show Source):
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(3+5v), (9-25v^2), and (3-5v)
(3+5v), (3-5v)(3+3v), (3-5v)
LCM=(3-5v)(3+5V) ANS.


Polynomials-and-rational-expressions/307522: Factor completely: y(y-5)-7(y-5)
1 solutions

Answer 220029 by checkley77(12569) About Me  on 2010-05-23 13:45:38 (Show Source):
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y(y-5)-7(y-5)
Y^2-5Y-7Y+35
Y^2-5Y-7Y+35
Y^2-12Y+35
(Y-5)(Y-7) ANS.


Equations/307524: this equation y=0.15x+0.79 represnts an estimate of the average cost of gasoline each year, how would you find the price of gasoline in the year 2018. Please show me how to find the answer.
1 solutions

Answer 220027 by checkley77(12569) About Me  on 2010-05-23 13:43:25 (Show Source):
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y=0.15x+0.79
+graph%28+300%2C+200%2C+-6%2C+5%2C+-3%2C+3%2C+.15x+%2B.79%29+ (graph 300x200 pixels, x from -6 to 5, y from -3 to 3, .15x +.79).
X=0 WOULD BE THE FIRST YEAR @ .79
X=1 WOULD BE THE NEXT YEAR & SO ON BY SUBSTITUTING THE YEAR FOR THE X VALUE.
EXAMPLE:
LET X=5.
Y=.15*5+.79
Y=.75+.79
Y=$1.54 WOULD BE THE PRICE IN THE FIFTH YEAR.


Probability-and-statistics/307534: In a survey, 28% of respondents say they are left-handed, 64% say they are right-handed, and 8% say they are ambidextrous. If the ambidextrous people are omitted, about what percent of those remaining are left-handed?

a. 28%
b. 30%
c. 32%
d. 34%
e. 36%

I'm thinking it is 30% but I just want to make sure!
1 solutions

Answer 220024 by checkley77(12569) About Me  on 2010-05-23 13:32:03 (Show Source):
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100-8=92
28/92=30% ARE NOW LEFT HANDED.
ANS. B)


Inequalities/307536: Solve the inequality 1) 4(w-10)>4
New problem 2) -3x+9>18 solve the inequality
1 solutions

Answer 220023 by checkley77(12569) About Me  on 2010-05-23 13:27:08 (Show Source):
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1) 4(w-10)>4
4W-40>4
4W>4+40
4W>44
W=44/4
W>11 ANS.
PROOF:
LET W=11.1
4(11.1-10)>4
4*1.1>4
4.4>4
-----------------
2) -3x+9>18
-3X>18-9
-3X>9
X<9/-3 NOTE THE SIGN CHANGE WHEN DIVIDING BY A NEGATIVE VALUE.
X<-3 ANS.
PROOF:
LET X=-3.1
-3*-3.1+9>18
9.3+9>18
18.3>18


Quadratic_Equations/307539: A car rental co. charges a daily fee plus a mileage fee. Joe was charged $429 for 5 days and 300 km., while Mary was charged 315 for 3 days and 500 km. What does the car rental co. charge per day and per kilometre ? Thanx for your help.
1 solutions

Answer 220021 by checkley77(12569) About Me  on 2010-05-23 13:20:49 (Show Source):
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5D+300M=429 MULTIPLY BY 3.
3D+500M=315 MULTIPLY BY -5 & ADD.
15D+900M=1,287
-15D-2500=-1,575
-------------------
-1600M=-288
M=-288/-1,600
M=.18 PRICE PER MILE DRIVEN.
5D+300*.18=429
5D+54=429
5D=429-54
5D=375
D=375/5
D=75 IS THE DAILY RENTAL RATE.
PROOF:
3*75+500*18=315
225+90=315
315=315


Linear_Equations_And_Systems_Word_Problems/307543: Trains A and B are travelling in the same direction on parallel tracks. Train A is travelling at 80 miles per hour and Train B is travelling at 96 miles per hour. Train A passes a station at 12:15 a.m. If Train B passes that same station at 12:30 a.m., at what time will Train B catch up to Train A?
1 solutions

Answer 220020 by checkley77(12569) About Me  on 2010-05-23 13:03:53 (Show Source):
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D=RT
D=80T TRAIN A
D=96(T-.25) TRAIN B
THE DISTANCES ARE THE SAME THUS SET THE 2 EQUATIONS EQUAL & SOLVE FOR T.
80T=96(T-.25)
80T=96T-24
80T-96T=-24
-16T=-24
T=-24/-16
T=1.5 HOURS AFTER TRAIN LEAVES THEY WILL MEET.
PROOF:
80*1.5=96(1.5-.25)
120=96*1.25
120=120


Linear-equations/307544: Substitution method:
7x - y = 24
x = 2y + 9
1 solutions

Answer 220019 by checkley77(12569) About Me  on 2010-05-23 12:56:18 (Show Source):
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7x - y = 24
x = 2y + 9
7(2Y+9)-Y=24
14Y+63-Y=24
13Y=24-63
13Y=-39
Y=-39/13
Y=-3 ANS.
X=2*-3+9
X=-6+9
X=3 ANS.
PROOF:
7*3-(-3)=24
21+3=24
24=24


Polynomials-and-rational-expressions/307549: x-5/ x+2 =3/7 solve
1 solutions

Answer 220017 by checkley77(12569) About Me  on 2010-05-23 12:52:19 (Show Source):
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x-5/ x+2 =3/7 CROSS MULTIPLY.
7(X-5)=3(X+2) EXPAND THE TERMS.
7X-35=3X+6 COMBINE LKE TERMS.
7X-3X=6+35 DITTO.
4X=41 DIVIDE BY 4
X=41/4 ANS.
PROOF:
[(41/4)-5]/[(41/4+2]=3/7
[(41-5*4)/4]/[(41+2*4)/4]=3/7
[(41-20)/4]/[(41+6)/4]=3/7
21/4*4/35=3/7
21/35=3/7
3/7=3/7



Money_Word_Problems/307562: The selling price of a car plus 8%sales tax = 15,714.00. What is the selling price?
1 solutions

Answer 220016 by checkley77(12569) About Me  on 2010-05-23 12:42:16 (Show Source):
You can put this solution on YOUR website!
X+.08X=15,714
1.08X=15,714
X=15,714/1.08
X=$14,550 IS THE SELLING PRICE BEFORE TAXES.


test/307327: find the x-intercept of the graph of the equation
y=2x expontent 2 - 6x -8
1 solutions

Answer 219924 by checkley77(12569) About Me  on 2010-05-22 18:04:56 (Show Source):
You can put this solution on YOUR website!
y=2x^2-6x-8
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x%5E2+-6x+-8%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 2x^2 -6x -8).
Answer -1 & 4 are the x intercepts.