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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) on 2010-10-28 09:22:00 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 17:47:19 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 17:38:57 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 17:33:47 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 17:09:30 (Show Source):
You can put this solution on YOUR website!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.
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IF the semicircircle is on the 116m end then just replace the 58 by 116.
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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) on 2010-10-27 16:23:15 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 16:13:59 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 15:55:25 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 15:36:54 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 15:29:07 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 09:55:43 (Show Source):
You can put this solution on YOUR website!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
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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) on 2010-10-27 09:48:41 (Show Source):
You can put this solution on YOUR website!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
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