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checkley77 answered: 12560 problems
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Miscellaneous_Word_Problems/362950: (Assume the volume is kept constant) If the absolute temperature of a gas with a pressure of 10 psi decreases by a factor of 2, what will be the new pressure?
1 solutions

Answer 258804 by checkley77(12569) About Me  on 2010-10-28 09:23:11 (Show Source):
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10/2=5 psi. ans.


Human-and-algebraic-language/362952: After a recent election, there were 2 more Republicansa governors than Democratic governors in the United States. If there are 50 states governors total, how many Democrats and how many Republicans held governor's offices after this election?
1 solutions

Answer 258802 by checkley77(12569) About Me  on 2010-10-28 09:22:00 (Show Source):
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R+D=50
R=D+2
D+2+D=50
2D=48
D=48/2
D=24 NUMBER OF DEMOCRAT GOVERNORS.
R=24+2=26 NUMBER OF REPUBLICAN GOVERNORS.
PROOF:
24+26=50
50=50


Percentage-and-ratio-word-problems/363001: This recipe will make 6 muffins: 1 cup of milk, 1 2/3 cups of flour, 2 eggs, 1/2 teaspoon salt, 1 1/2 teaspoons baking powder. Write the recipe for six dozen muffins?
1 solutions

Answer 258798 by checkley77(12569) About Me  on 2010-10-28 09:09:43 (Show Source):
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12 cups of milk
20 cups of flouer
24 eggs
6 teaspoons of salt
18 teaspoons of baking powder


Percentage-and-ratio-word-problems/363027: A retail store sells a jacket for 75% more than the wholesale price it is charged by the manufacturer. If the store sells the jacket for $49, how much is it charged by the manufacturer ?
1 solutions

Answer 258796 by checkley77(12569) About Me  on 2010-10-28 09:04:09 (Show Source):
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x+.75x=49
1.75x=49
x=49/1.75
x=$28 is the manufacturer's price.


Linear-equations/363047: determine whether y=2x-1 is a linear equation. if so, write the equation in standard form.

1 solutions

Answer 258789 by checkley77(12569) About Me  on 2010-10-28 08:58:15 (Show Source):
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Y=mX+b is the linear equation format.
y=2x-1 This is the linear form.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+2x+-1%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 2x -1).


Money_Word_Problems/362618: you are offered two jobs selling college textbooks. one company offers an annual salary of $25,000 and a year-end bonus of 1% of your total sales. the other company offers an annual salary of $20,000 plus a year-end bonus of 2% of your total sales. how much would you have to sell in a year to make the second offer the better offer?
1 solutions

Answer 258498 by checkley77(12569) About Me  on 2010-10-27 17:47:19 (Show Source):
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20,000+.02X>25,000+.01X
.02X-.01X>25,000-20,000
.01X>5,000
X>5,000/.01
X>$500,000 IS THE AMOUNT OF THE TOTAL SALES NEEDED TO MAKE THE TWO OFFERS THE SAME.
SALES ABOVE $500,000 WILL MAKE THE SECOND JOB A BETTER DEAL.
PROOF:
LET SALES=$500,001
20,000+.02*500,001>25,000+.01*500,001
20,000+10,000.02>25,000+5,000.01
30,000.02>30,000.01


Expressions-with-variables/362621: A truck traveling at a constant rate of 45 miles per hour leaves Albany. One hour later a car traveling at a constant rate of 60 miles per hour also leaves Albany traveling in the same direction of the same highway. How long will it take for the car to catch up to the truck if both vehicles continue in the same direction on the highway? I do not understand can u please help?
1 solutions

Answer 258495 by checkley77(12569) About Me  on 2010-10-27 17:38:57 (Show Source):
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D=RT
D=45T FOR THE TRUCK.
D=60(T-1) FOR THE CAR.
BECAUSE THE DISTANCES ARE EQUAL:
45T=60(T-1)
45T=60T-60
45T-60T=-60
-15T=-60
T=-60/-15
T=4 HOURS AFTER THE TRUCK LEAVES THE CAR WILL CATCH THE TRUCK.
PROOF:
45*4=60(4-1)
180=60*3
180=180


Linear-systems/362619: Ms. Anthony wants to create a special blend using two coffees, one priced ar $8.40 per pound and the other at $7.28 per pound. How many pounds of the $7.28 coffee should she mix with 9 pounds of the $8.40 coffee to sell the mixture for $7.95 per pound?
1 solutions

Answer 258492 by checkley77(12569) About Me  on 2010-10-27 17:33:47 (Show Source):
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8.40*9+7.28x=7.95(9+x)
75.6+7.28x=71.55+7.95x
7.28x-7.95x=71.55-75.60
-.67x=-4.05
x=-4.05/-.67
x=6.045 pounds of $7.28 coffee is used.
Proof:
8.40*9+7.28*6.045=7.95(9+6.045)
75.6+44=7.95*15.045
119.6=119.6


Numbers_Word_Problems/362623: the sum of three consecutive numbers = 258 What are these numbers
1 solutions

Answer 258487 by checkley77(12569) About Me  on 2010-10-27 17:14:07 (Show Source):
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Let x, x+1 & x+2 be the 3 numbers.
x+x+1+x+2=258
3x=258-3
3x=255
x=255/3
x=85 ans. for the smaller number.
85+1=86 ans. for the middle number.
85+2=87 ans. for the larger umber.
Proof:
85+86+87=258
258=258


Surface-area/362635: An oval track is made by erecting semicircles on each end of a 58m by 116m rectangle. Find the length of the track and area enclosed by the track. Use 3.14 for pie.
The length of the track is?
The area enclosed by the track is?
1 solutions

Answer 258485 by checkley77(12569) About Me  on 2010-10-27 17:09:30 (Show Source):
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IF the semicircle is on the 58m end then:
L=2*116+3.14*58
L=232+3.14*58
L=232+182.12=414.12 m. ans. for the length.
A=58*114+3.14(58/2)^2
A=6,612+3.14(29)^2
A=6,612+3.14*841
A=6,612+2,640.74
A=9,252.74 m^2. ans.
--------------------------
IF the semicircircle is on the 116m end then just replace the 58 by 116.


Polynomials-and-rational-expressions/362636: I'm having diffuculty solving this problem.
Add; (9x^2-xy+y^2)+(-x^2-9xy+8y^2)
DO I add across or???
1 solutions

Answer 258482 by checkley77(12569) About Me  on 2010-10-27 16:53:38 (Show Source):
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(9x^2-xy+y^2)
+(-x^2-9xy+8y^2) add.
----------------------
8x^2-10xy+9y^2 ans.


Inverses/362639: What is the inverse of 6 divided by x+3?
1 solutions

Answer 258478 by checkley77(12569) About Me  on 2010-10-27 16:50:16 (Show Source):


Graphs/362647: (-9,-5)(-12,-7) Find slope if it exists
1 solutions

Answer 258473 by checkley77(12569) About Me  on 2010-10-27 16:45:40 (Show Source):
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(-9,-5)(-12,-7)
Slope=(y2-y1)/(x2-x1)
Slope=(-7+5)/(-12+9)
Slope=-2/-3
Slope=2/3 ans.


Polynomials-and-rational-expressions/362653: Factor each trinomial. if possible.
30r5+63r4-30r3
1 solutions

Answer 258469 by checkley77(12569) About Me  on 2010-10-27 16:41:57 (Show Source):
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30r5+63r4-30r3
3r^3(10r^2+21r-10)
3r^3(4r+10)(2.5r-1) ans.


test/362582: Perform the indicated operation
3m + 6m/8/3/4
1 solutions

Answer 258460 by checkley77(12569) About Me  on 2010-10-27 16:27:30 (Show Source):
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3m + 6m/8/3/4 Invert the rightmost fraction & multiply.
3m+(6m/8)(4/3)
3m+24m/24 Reduce the fraction & add common terms.
3m+m=4m ans.


Travel_Word_Problems/362585: two buses leave towns 756 miles apart at the same time and travel toward each other. one bus travels at 14 mi/hour slower than the other. if they meet in 7 hours, what is the rate of each bus?

1 solutions

Answer 258459 by checkley77(12569) About Me  on 2010-10-27 16:23:15 (Show Source):
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D=RT
756=(R+R-14)7
756=(2R-14)7
756=14R-98
14R=756+98
14R=854
R=854/14
R=61 MPH. IS THE SPEED OF THE FASTER BUS.
61-14=47 MPH. IS THE SPEED OF THE SLOWER BUS.
PROOF:
756=(61+47)7
756=108*7
756=756


Linear_Equations_And_Systems_Word_Problems/362589: Please help me here: "The perimeter of a rectangular sign is 58cm and its area is 204cm^2. Find the length and width of the sign." If you may, please provide a step by step process so i can learn how to do it, instead of just getting the answer.
1 solutions

Answer 258457 by checkley77(12569) About Me  on 2010-10-27 16:13:59 (Show Source):
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2L+2W=58 FOR THE PERIMETER.
LW=204 FOR THE AREA.
L=204/W NOW REPLACE L WITH (204/W) IN THE FIRST EQUATION & SOLVE FOR W.
2(204/W)+2W=58
408/W+2W=58
(408+2W*W)/W=58
(408+2W^2)/W=58 CROSS MULTIPLY.
2W^2+408=58*W
2W^2+408=58W
2W^2-58W+408=0
2(W^2-29W+204)=0
(W-17)(W-12)=0
W-17=0
W=17 ANS.
W-12=0
W=12 ANS.
L=204/17=12 ANS.
L=204/12=17 ANS.
PROOF:
12*17=204
204=204


Numbers_Word_Problems/362593: The sum of two numbers is 25. One number is 7 less than 3 times the other number.
x=larger number
y=lesser number
This is what I have so far. What do I do next?
x=9
x+y=120
1 solutions

Answer 258455 by checkley77(12569) About Me  on 2010-10-27 15:55:25 (Show Source):
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x=9
x+y=120
QUESTION?
WHERE DID YOU GET X=9 & X+Y=120???????
-------------------------------------
X+Y=25 OR X=25-Y
X=3Y+7
25-Y=3Y+7
-Y-3Y=7-25
-4Y=-18
Y=-18/-4
Y=4.5 ANS. FOR THE SMALLER NUMBER.
X=25-4.5
X=20.5 ANS. FOR THE LARGER NUMBER.
PROOF:
20.5=3*4.5+7
20.5=13.5+7
20.5=20.5


Numbers_Word_Problems/362599: A horse and two cows together cost $680. Find the cost of a cow and a horse, if a horse cost $80 more than a cow.
1 solutions

Answer 258450 by checkley77(12569) About Me  on 2010-10-27 15:43:09 (Show Source):
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H=C+80
H+2C=680
(C+80)+2C=680
C+80+2C=680
3C=680-80
3C=600
C=600/3
C=$200 COST OF ONE COW.
H=2*200+80=400+80=$480 COST OF ONE HORSE.
PROOF:
480+200=680
680=680


Numbers_Word_Problems/362602: A pile of 40 coins consists of nickels and dimes. The total value of the coins is $3.35. Find the number of each type of coin.
1 solutions

Answer 258448 by checkley77(12569) About Me  on 2010-10-27 15:36:54 (Show Source):
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N+D=40 OR N=40-D
.05N+.10D=3.35
.05(40-D)+.10D=3.35
2-.05D+.10D=3.35
.05D=3.35-2
.05D=1.35
D=1.35/.05
D=27 DIMES.
N=40-27=13 NICKELS.
PROOF:
.05*13+.10*27=3.35
.65+2.70=3.35
3.35=3.35


Polynomials-and-rational-expressions/362612: I need help with a math problem.
Subtract. (-2a+6b-c)-(-3b+6c-6d)
1 solutions

Answer 258447 by checkley77(12569) About Me  on 2010-10-27 15:31:40 (Show Source):
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(-2a+6b-c)-(-3b+6c-6d)
-2a+6b-c+3b-6c+6d
-2a+9b-7c+6d ans.


Rectangles/362614: A theater sold $330 worth of tickets. An adult ticket costs $2.00 each and a child’s ticket cost $1 each. If total tickets sold were 190, how many tickets of each kind were sold?
1 solutions

Answer 258446 by checkley77(12569) About Me  on 2010-10-27 15:29:07 (Show Source):
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A+C=190
A=190-C
2A+1C=330
2(190-C)+C=330
380-2C+C=330
-C=330-380
-C=-50
C=50 ANS. FOR THE NUMBER OF CHILDREN TICKETS.
A=190-50=140 ANS. FOR THE NUMBER OF ADULT TICKETS.
PROOF:
2*140+50=330
280+50=330
330=330


Rectangles/362474: The length of a rectangle is 6 cm more than two times the width. If the perimeter of the rectangle is 36 cm, what are its dimensions?
1 solutions

Answer 258349 by checkley77(12569) About Me  on 2010-10-27 09:55:43 (Show Source):
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L=2W+6
2L+2W=36
2(2W+6)+2W=36
4W+12+2W=36
8W=36-12
6W=24
W=24/6
W=4 cm. ANS. FOR THE WIDTH.
L=2*4+6=8+6=14 cm. ANS.FOR THE LENGTH.
PROOF:
2*14+2*4=36
28+8=36
36=36


Rectangles/362308: what is the formula for a rectangle with a perimeter of 54"? its width is 1/2 the legnth.

1 solutions

Answer 258345 by checkley77(12569) About Me  on 2010-10-27 09:50:44 (Show Source):
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W=L/2
2L+2W=54
2L+2(L/2)=54
2L+L=54
3L=54
L=54/3
L=18 ANS. FOR THE LENGTH.
W=18/2=9 ANS. FOR THE LENGTH.
PROOF:
2*9+2*18=54
18+36=54
54=54


Rectangles/362317: arectangle has a perimeter 54".What is the formula for finding the width and the legnth? the width is 1/2 the legnth.
1 solutions

Answer 258343 by checkley77(12569) About Me  on 2010-10-27 09:48:41 (Show Source):
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W=L/2
2L+2W=54
2L+2(L/2)=54
2L+L=54
3L=54
L=54/3
L=18 ANS. FOR THE LENGTH.
W=18/2=9 ANS. FOR THE LENGTH.
PROOF:
2*9+2*18=54
18+36=54
54=54


Polynomials-and-rational-expressions/362401: What does it mean to completely factor and expression? Illustrate factoring an expression completely by showing which factoring formula(s) you would apply to completely factor the expression "x4 - 1"?

1 solutions

Answer 258340 by checkley77(12569) About Me  on 2010-10-27 09:43:51 (Show Source):
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x^4 - 1 This is a perfect square polynomial.
(x^2+1)(x^2-1) The second factor is also a perfect square polynomial.
(x^2+1)(x+1)(x-1) ans.


test/362404: I am having trouble with fractions.
-29/3=4x-5x+1/3
1 solutions

Answer 258336 by checkley77(12569) About Me  on 2010-10-27 09:34:17 (Show Source):
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-29/3=4x-5x+1/3
4x-5x=-29/3-1/3
-x=-30/3
-x=-10
x=10 ans.
Proof:
-29/3=4*10-5*10+1/3
-29/3-1/3=40-50
-30/3=-10
-10=-10


Polynomials-and-rational-expressions/362422:
1 solutions

Answer 258334 by checkley77(12569) About Me  on 2010-10-27 09:28:37 (Show Source):
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No problem submitted.


Polynomials-and-rational-expressions/362429: Factor completely: 9ab + 12ax − 6b − 8x
1 solutions

Answer 258333 by checkley77(12569) About Me  on 2010-10-27 09:26:35 (Show Source):
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9ab + 12ax − 6b − 8x
3a(3b+4x)-2(3b+4x)
(3a-2)(3b+4x) ans.


Polynomials-and-rational-expressions/362434: Factor completely: 14bx^2 − 7x^3 − 4b + 2x
1 solutions

Answer 258330 by checkley77(12569) About Me  on 2010-10-27 09:23:19 (Show Source):
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14bx^2 − 7x^3 − 4b + 2x
7X^2(2B-X)-2(2B-X)
(7X^2-2)(2B-X) ANS.


Triangles/362463: if a right triangle has a leg measuring 52 m and a hypotenuse measuring 63 m. What is the length of the other leg?

1 solutions

Answer 258324 by checkley77(12569) About Me  on 2010-10-27 09:12:59 (Show Source):
You can put this solution on YOUR website!
A^2+B^2=C^2
52^2+B^2=63^2
2,704+B^2=3,969
B^2=3,969-2,704
B^2=1,265
B=SQRT1,265
B=35.567m. ANS. FOR THE SECOND LEG.