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checkley75 answered: 3664 problems
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Linear_Equations_And_Systems_Word_Problems/87216: Your maximum exercise heart rate M is given by the formula M = 0.85(220-a),
where "a" is your age. What is the age of someone who has a maximum exercise heart rate of 133?
1 solutions

Answer 63178 by checkley75(3666) About Me  on 2007-07-04 09:07:28 (Show Source):
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M=.85(220-A)
133=.85(220-A)
133=187-.85A
.85A=187-133
.85A=54
A=54/.85
A=63.5


Quadratic_Equations/87224: find the quadratic equation when one root is the square of the other
1 solutions

Answer 63176 by checkley75(3666) About Me  on 2007-07-04 08:40:35 (Show Source):
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x^2-6x+8 is a quadratic equation with 2 roots where 1 is the square of the other.
(x-4)(x-2)
x-4=0
x=4 answer
x-2=0
x=2 answer
4 is the square of 2


Equations/87141: For function y=1/x-2
Give the y values for x =-1,0,1,2,3,4.
Show work
Using these points, draw a curve. Show Graph
1 solutions

Answer 63146 by checkley75(3666) About Me  on 2007-07-03 19:26:25 (Show Source):
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X=-1 THEN Y=1/-1-2, Y=-1-2, Y=-3
X=0, THEN Y=1/0-2, Y=-2
Y=1, THEN Y=1/1-2, Y=-1
Y=2, THEN Y=1/2-2, Y=-1.5
X=3, THEN Y=1/3-2, Y=5/3
X=4, THEN Y=1/4-2, Y=-1.75
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+%281%2Fx%29+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = (1/x) -2).


Radicals/87142: Okay, the following question has me stumped, Geometry: If the roof of a home is 7m from peak to eave and the attic space is 3m high at the peak, how long does each of the pieces of insulation need to be? (Insulation is 40cm wide rolls that are cut to fit between the rafters in the attic) Round the answer to the nearest tenth.
1 solutions

Answer 63145 by checkley75(3666) About Me  on 2007-07-03 19:17:07 (Show Source):
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WHAT YOU HAVE IS A RIGHT TRIANGLE WITH THE RIGHT SIDE=3M & THE HYPOTENUS IS 7M.
NOW WWE NEED TO FIND THE OTHER SIDE (BASE) USING THE PYTHAGOREAN THERUM A^2+B^2=C^2 WHERE A & B ARE THE 2 SIDES & C IS THE HYPOTENUSE.
3^2+B^2=7^2
9+X^2=49
X^2=49-9
X^2=40
X=SQRT40
X=6.3M IS THE BASE MEASUREMENT.


Miscellaneous_Word_Problems/87191: I would appreciate if a tutor would teach me how to solve the following word problems step by step.
1) Solve the problem.
The height of a box is 8 inches. The length is three inches more than the width. Find the width if the volume is 560.
Question 3 answers
8 in.
10 in.
70 in.
7 in.
2) Solve the problem.
A square lawn has an area of 1568 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle?
Question 4 answers
39.6 feet
28 feet
56 feet
19.8 feet
3) Answer the question.
If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y?
Question 5 answers
x2 + y2
x + y
square root x+y
square root x^2 + y^2
4) Solve the problem.
The area of a square is numerically 117 more than the perimeter. Find the length of the side.
Question 6 answers
85 units
52 units
13 units
338 units




1 solutions

Answer 63130 by checkley75(3666) About Me  on 2007-07-03 17:03:13 (Show Source):
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1) HEIGHT=8 INCHES, LENGTH=W+3 INCHES, WIDTH=W.
VOLUME =L*W*H
560=(W+3)*W*8
560=(W^2+3W)*8
560/8=W^2+3W
70=W^2+3W
W^2+3W-70=0
(W+10)(W-7)=0
W+10=0
W=-10 NOT AN ANSWER.
W-7=0
W=7 ANSWER.
PROOF
560=(7+3)*7*8
560=10*7*8
560=560
---------------------------------------------------
2) 1568=S^2
S=SQRT1568
S=39.597979 IS THE LENGTH OF THE SIDES.
THUS THE RADIUS IS S/2
39.597979/2=19.798989 FEET.
--------------------------------------------------
3) SQRT(X^2+Y^2)
-------------------------------------------------
4)AREA=S^2 & PERIMETER=4S. THUS:
S^2=4S+117
S^2-4S-117=0
(S-13)(S+9)=0
S-13=0
S=13 ANSWER.
PROOF
13^2=4*13+117
169=52+117
169=169


Expressions-with-variables/87133: The sum of three consective even integers is 114
a. Define variables for the smalles integer (36)?
b. Define variables to represent the 2nd and 3rd integers (38, 40)?
c. Write an equation for the sum of the tree consecutive even integers.
d. Solve the equation to find the three even integers.

1 solutions

Answer 63123 by checkley75(3666) About Me  on 2007-07-03 16:28:04 (Show Source):
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X+(X+2)+(X+4)=114
3X+6=114
3X=114-6
3X=108
X=108/3
X=36 ANSWER FOR THE FIRST/SMALLEST EVEN NUMBER
36=2=38 FOR THE SECOND EVEN NUMBER
36=4=40 FOR THE THIRD EVEN NUMBER
PROOF
36+38+40=114
114=114


Trigonometry-basics/87185: Determine the area of triangle ABC given the following information:
A=12, B=13, C=5
1 solutions

Answer 63122 by checkley75(3666) About Me  on 2007-07-03 16:21:05 (Show Source):
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KNOWING THAT THIS IS A RIGHT TRIANGLE: WE USE THE QUADRATIC PATHOGOREAN THEROM
PROOF A^2+B^2=C^2, 12^2+5^2=13^2, 144+25-169, 169=169.
NOW WE USE THE AREA FORMULA FOR A RIGHT TRIANGLE A=B/2*H (B IS THE BASE=12), HIS THE HEIGHT=5)
A=12/2*5
A=6*5
A=30


Percentage-and-ratio-word-problems/87093: Solve the following equation for A : 2A/3 = 8 + 4A
1 solutions

Answer 63077 by checkley75(3666) About Me  on 2007-07-02 21:53:25 (Show Source):
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2A/3=8+4A NOW CROSS MULTIPLY
2A=3(8+4A)
2A=24+12A
2A-12A=24
-10A=24
A=24/-10
A=-2.4
PROOF
2*-2.4/3=8+4*-2.4
-4.8/3=8-9.6
-1.6=-1.6


Coordinate-system/87120: Graft these two equations from the following: +3s%2B5g=300+ and +3s%2B5g=1336+..
1 solutions

Answer 63076 by checkley75(3666) About Me  on 2007-07-02 21:46:05 (Show Source):
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3s+5g=300 set s=y & g=x we get 3y=-5x+300, y=-5x/3+300
3s+3g=1336 3y=-5x+1336, y=-5x/3+1336
(graph 300x300 pixels, x from -60 to 50, y from -100 to 100, of TWO functions y = -5x/3 =300 and y = -5x/3 +1336).


Linear-equations/87095: Can someone explain to me how this is done?
Find the slope and y-intercept.
x = –5

1 solutions

Answer 63061 by checkley75(3666) About Me  on 2007-07-02 15:37:36 (Show Source):
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THERE IS NO Y INTERCEPT AS THIS IS A VERTICLE LINE PASSING THROUGH THE POINT
(-5,0) & THE SLOPE IS UNDEFINED (SOME USE THE TERM FOR INFINITY).


Quadratic_Equations/86823: simplify
5sqrt6x + 4sqrt6x
1 solutions

Answer 63047 by checkley75(3666) About Me  on 2007-07-02 11:12:22 (Show Source):
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5SQRT6X+4SQRT6X=9SQRT6X


Expressions-with-variables/87081: 9-2m/7=19

1 solutions

Answer 63045 by checkley75(3666) About Me  on 2007-07-02 11:07:42 (Show Source):
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9-2M/7=19
-2M/7=19-9
-2M/7=10
-2M=70
M=70/-2
M=-35
PROOF
9-2*-35/7=19
9+70/7=19
9+10=19
19=19


Equations/87024: x^-9 * x^9
1 solutions

Answer 62993 by checkley75(3666) About Me  on 2007-07-01 17:24:23 (Show Source):
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X^-9*X^9 [X^-9=1/X^9]
X^9/X^9=1 ANSWER.


Quadratic_Equations/86795: simplify:
square root of 125/square root of 5

1 solutions

Answer 62992 by checkley75(3666) About Me  on 2007-07-01 17:21:57 (Show Source):
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SQRT125/SQRT5
SQRT25*5/SQRT5
5(SQRT5)/(SQRT5) NOW CANCEL OUT THE SQRT5 WE HAVE 5.


Equations/86835: Solve. 3x – 7 = 2x + 8
1 solutions

Answer 62991 by checkley75(3666) About Me  on 2007-07-01 17:19:20 (Show Source):
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3X-7=2X=8
3X-2X=8+7
X=15 ANSWER.
PROOF
3*15-7=2*15+8
45-7=30+8
38=38


Equations/86840: solve and check
8 – (4x – 3) = 19
1 solutions

Answer 62990 by checkley75(3666) About Me  on 2007-07-01 17:16:28 (Show Source):
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8-(4X-3)=19
8-4X+3=19
-4X=19-8-3
-4X=8
X=8/-4
X=-2
PROOF
8-(4*-2-3)=19
8-(-8-3)=19
8-(-11)=19
8+11=19
19=19


Quadratic_Equations/87001: This isnt a quadratic formula problem, I dont know what type of problem it is, I just really need help in it. The problem is: Simplify d^2-2d-3
d^2-10d+24
d+1
d-4
They are like that because the problem is in fraction form
1 solutions

Answer 62989 by checkley75(3666) About Me  on 2007-07-01 17:09:14 (Show Source):
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IF THIS IS THE FRACTION?
(D^2-2D-3)/(D^2-10D+24)
(D-3)(D+1)/(D-4)(D-6)
YOUR ANSWER IS (D+1)/(D-4).
QUESTION -- HOW DID YOU GET RID OF THE OTHER 2 TERMS (D-3)/(D-6)??????????


Expressions-with-variables/87002: y=2x y=x=3 please give me some understanding of how to substitute variables
1 solutions

Answer 62988 by checkley75(3666) About Me  on 2007-07-01 17:03:10 (Show Source):
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BELIEVE YOU HAVE 1 TOO MANY = SIGNS IN THE SECOND EQUATION.
IF Y=X=3 THEN
3=2*3
3=6 NOT VALID.


Points-lines-and-rays/87003: Please help me solve my assignment. Thank you.
Points N, R and T lie in a straight line. R lies between N and T. If RT = 4/3 NT
and RT = 100, find NT.
1 solutions

Answer 62987 by checkley75(3666) About Me  on 2007-07-01 17:01:00 (Show Source):
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RT CANNOT BE GREATER [4/3=1.333] THAN NT IF R IS BETWEEN N&T
PROOF:
RT=100 & RT=(4/3)NT THEN
100=(4/3)NT
NT=100/(4/3)
NT=100(3/4)
NT=300/4
NT=75
THE ENTIRE LENGTH OF THE LINE (NT=75) CANNOT BE LONGER THAN THE PART (RT=100)


Expressions-with-variables/87019: Find a:
m over z minus b over a equals u
1 solutions

Answer 62986 by checkley75(3666) About Me  on 2007-07-01 16:48:57 (Show Source):
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m/z-b/a=u
(ma-bz)/za=u now cross multiply
zau=ma-bz now divide both sides by zu
a=(ma-bz)/zu


Permutations/87027: If someone has 6 different pairs of pants, 10 different shirts, and 5 different pair of shoes, how many different pant, shirt, and shoe outfits are possible?
1 solutions

Answer 62985 by checkley75(3666) About Me  on 2007-07-01 16:45:03 (Show Source):
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6*10*5=300 different combinations are possible.


Radicals/86830: Find the perimeter of a triangle if the three sides are:
square root 5 - square root 3
square root 5 + square root 3
4
thanks,
1 solutions

Answer 62930 by checkley75(3666) About Me  on 2007-06-30 16:31:46 (Show Source):
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sqrt5-sqrt3+sqrt5+sqrt3+4=2.236-1.732+2.236+1.732+4=4.472=4=8.472 answer.


Quadratic_Equations/86831: Which two expressions are equivalent? Provide evidence for your answer

sqrt-49,-7,-sqrt49

1 solutions

Answer 62929 by checkley75(3666) About Me  on 2007-06-30 16:28:38 (Show Source):
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sqrt(-49)=7i
-(sqrt49)=-7


Money_Word_Problems/86841: solve and check
A real estate agent received a 5.5% commission on the sale of a home. If the home sold for $133,000, how much was his commission?
1 solutions

Answer 62928 by checkley75(3666) About Me  on 2007-06-30 16:25:08 (Show Source):
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$133,000*.055=$7,315 is his commission.


Equations/86934: solve and check 8 – (4x – 3) = 19
1 solutions

Answer 62927 by checkley75(3666) About Me  on 2007-06-30 16:19:55 (Show Source):
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8-(4x-3)=19
8-4x+3=19
-4x=19-11
-4x=8
x=8/-4
x=-2 answer.


Travel_Word_Problems/86980: This question is from textbook Saxon, Algebra 1
The distance traveled by a car at a constant speed is directly proportional to the time spent traveling. If the car went 910 miles in 13 hours, how far will it go in 14 hours?
1 solutions

Answer 62926 by checkley75(3666) About Me  on 2007-06-30 16:17:04 (Show Source):
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910/13=x/14
13x=14*910
13x=12740
x=12740/13
x=980 miles covered in 14 hours @ the constant rate.


Miscellaneous_Word_Problems/86962: Please help
Write the following phrase using symbols. Use the variable x to represent the number.
A number increased by by 1


1 solutions

Answer 62916 by checkley75(3666) About Me  on 2007-06-30 10:57:00 (Show Source):
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Increase a number by 1. If the number is x then (x+1) represents the number increased by 1.


Miscellaneous_Word_Problems/86968: Please help
Use the properties of addition and multiplication to complete the statement.
(17 + 0) + 5 = 17 + ( ____ + 5)

1 solutions

Answer 62914 by checkley75(3666) About Me  on 2007-06-30 10:55:20 (Show Source):
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(17+0)+5=17+(0+5)
17+5=17+5
22=22


Equations/86913: please solve
x+(x*.05)=947
1 solutions

Answer 62882 by checkley75(3666) About Me  on 2007-06-29 21:19:52 (Show Source):
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x+.05x=947
1.05x=947
x=947/1.05
x=901.90476 answer.
proof
901.90476+.05*901.90476=947
901.90476+45.095238=947
947=947


Equations/86930: solve and check
80 = 10x
1 solutions

Answer 62881 by checkley75(3666) About Me  on 2007-06-29 21:14:46 (Show Source):
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80=10x
x=80/10
x=8
proof
10*8=80
80=80


Money_Word_Problems/86933: The perimeter of a rectangle is 34 feet and its area is 60 square feet. Find the length and width of the rectangle.
1 solutions

Answer 62880 by checkley75(3666) About Me  on 2007-06-29 21:13:30 (Show Source):
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xy=60
x=60/y
2x+2y=34
2(60/y)+2y=34
120/y+2y=34
(120+2y^2)/y=34
120+2y^2=34y
2y^2-34y+120=0
2(y^2-17y+60)=0
2(y-12)(y-5)=0
y-12=0
y=12 answer. the x=60/12=5
y-5=0
y=5 answer. the y=60/5=12
proof
5*12=60
60=60
2*5+2*12=34
10+24=34
34=34