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checkley71 answered: 8399 problems
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1 solutions
Answer 72802 by checkley71(8403)   on 2007-09-23 21:05:07 (Show Source):
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Equations/99828: You are traveling from New Albany to Indianapolis. On the map you measure the distance to be 4 1/2 inches. If the scale of the map is 1 inch: 25 miles, how far will you travel?
1 solutions
Answer 72800 by checkley71(8403) on 2007-09-23 21:01:50 (Show Source):
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Rate-of-work-word-problems/99988: Two sand hauling trucks one that holds 12 tons and one that holds 15 tons make a total of 20 trips to haul 273 tons of sand. How many trips does each truck make?
1 solutions
Answer 72799 by checkley71(8403) on 2007-09-23 20:57:09 (Show Source):
You can put this solution on YOUR website!15X+12(20-X)=273
15X+240-12X=273
3X=273-240
3X=33
X=11 TRIPS FOR THE 15 TON TRUCK.
20-11=9 TRIPS FOR THE 12 TON TRUCK.
PROOF
15*11+12*9=273
165+108=273
273=273
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Equations/99884: an investment adviser invested $14000 in two accounts. one investment earned 8% annual simple interest, an the other investment earned 6.5% annual simple interest. the amount of interest earned for 1 year was $1024. how much was investedin each account?
1 solutions
Answer 72798 by checkley71(8403) on 2007-09-23 20:53:37 (Show Source):
You can put this solution on YOUR website!.08X+.065(14000-X)=1024
.08X+910-.065X=1024
.015X=1024-910
.015X=114
X=114/.015
X=7600 INVESTED @ 8%
14000-7600=6400 INVESTED @ 6.5%
PROOF
.08*7600+.065*6400=1024
608+416=1024
1024=1024
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Rectangles/99976: The formula for the perimeter of a rectangle is P=2l+2w, where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find its dimensions if its length is 3 inches greater than its width.
1 solutions
Answer 72781 by checkley71(8403) on 2007-09-23 19:56:38 (Show Source):
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Money_Word_Problems/99973: A grocer wants to mix peanuts and cashews to produce 20 lb bag of mixed nuts worth $6.20/lb. How many pounds of each kind of nut should she use if peanuts cost $4.80/lb and cashews cost $8/lb?
1 solutions
Answer 72780 by checkley71(8403) on 2007-09-23 19:52:26 (Show Source):
You can put this solution on YOUR website!8*X+4.8(20-X)=20*6.2
8X+96-4.8X=124
3.2X=124-96
3.2X=28
X=28/3.2
X=8.75 POUNDS OF THE $8 MIX
20-8.75=11.25 POUNDS OPF THE $4.80 MIX
PROOF
8*8.75+4.8*11.25=124
70+54=124
124=124
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Surface-area/99880: the length of a rectangle is 3 times the width. if the area of the rectangle is 675 meters squared, find the perimeter of the rectangle in meters
1 solutions
Answer 72775 by checkley71(8403) on 2007-09-23 19:40:00 (Show Source):
You can put this solution on YOUR website!L=3W
678=3W*W
3W^2=678
W^2=678/3
W^2=226
W=SQRT226
W=15.033 ANSWER FOR THE WIDTH.
L=3*15.033=45.1 ANSWER FOR THE LENGTH
PROOF
15.033*45.1=678
678=678
PERIMETER=2L+2W
2*15.033+2*45.1=30.066+90.2=120.266 METERS IS THE ANSWER FOR THE PERIMETER.
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Parallelograms/99965: the length of a box is L. the width is 4 less than the length. the height is 3 more than twice the width.
a. write an expression for the width in terms of L.
b. write an expression for the height in terms of L.
c. find the volume of the box if L = 10
1 solutions
Answer 72771 by checkley71(8403) on 2007-09-23 19:28:24 (Show Source):
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Expressions-with-variables/99945: I just don't understand this.
In the following system of linear equations, state how to combine the two equations to obtain one equation with only one variable.
2x - 7y = 6
x + 3y = 2
1 solutions
Answer 72770 by checkley71(8403) on 2007-09-23 19:22:09 (Show Source):
You can put this solution on YOUR website!X+3Y=2 OR X=2-3Y NOW REPLACE X IN THE OTHER EQUATION WITH(2-3Y) & SOLVE FOR Y.
2(2-3Y)-7Y=6
4-6Y-7Y=6
-13Y=6-2
-13Y=4
Y=4/-13
Y=-4/13 ANSWER.
X+3*-4/13=2
X-12/13=2
X=12/13+2
X=2 12/13 OR 38/13 ANSWER.
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Quadratic_Equations/99957: the speed of an airplane in still air is 286 km/h it travels 883 km against the wind and 1119 km with the wind in total time is 13 hr.
1 solutions
Answer 72767 by checkley71(8403) on 2007-09-23 19:16:16 (Show Source):
You can put this solution on YOUR website!I THINK YOU HAVE SOME OF THE FACTS OR FIGURES WRONG AS THIS PROBLEM HAS NO REASONABLE ANSWER. I GET AN ANSWER OF 286 KM/H FOR THE WIND.
THE EQUATION I CAME UP WITH IS (X^2-22X-75504) WITH FACTORS OF 286 & -264.
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A 7 HOUR TRIP MAKES SENSE BUT NOT A 13 HOUR TRIP.
-------------------------------------------------------------
distance=rate*time or distance/rate=time
833/286+1119/286=2.91+3.91=6.82 hours with no wind.
cannot calculate any wind that would extend this time from 6.82 hours to 13 hours.
I suggest you again check your problem --- it doesn't make sense!!!!
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Travel_Word_Problems/99946: Can someone help me understand how to answer this problem. I think the answer is 50.4 miles.
A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town.
1 solutions
Answer 72753 by checkley71(8403) on 2007-09-23 18:41:36 (Show Source):
You can put this solution on YOUR website!24X=18(4.9-X)
24X=88.2-18X
24X+18X=88.2
42X=88.2
X=88.2/42
X=2.1 HOURS GOING @ 24 MPH OR:
24*2.1=50.4 MILES GOING
18(4.9-2.1)=18*2.8=50.4 MILES RETURNING
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Expressions-with-variables/99950: How does this work?
Choose the ordered pair that is a solution to the system of equations.
-3x + 2y = 10
-2x - y = -5
(-2, 5)
(2, -5)
(0, -5)
(0, 5)
1 solutions
Answer 72750 by checkley71(8403) on 2007-09-23 18:32:56 (Show Source):
You can put this solution on YOUR website!MULTIPLY THE SECOND EQUATION BY 2 & THEN ADD THEM:
-4X-2Y=-10
-3X+2Y=10
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-7X=0
X=0 ANSWER.
NOW SUBSTITUTE 0 FOR X & SOLVE FOR Y
-3*0+2Y=10
2Y=10
Y=10/2
Y=5 ANSWER.
PROOF
-2*0-5=-5
-5=-5
ANSWER IS (0,5)
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Expressions-with-variables/99941: At the high school band's annual spaghetti dinner, the members served 210 dinners and collected $935. The band leader did not designate which ticket was an adult or child dinner. You need to know that to prepare the correct amount of food and for future planning. Each adult dinner cost $6 and each child's dinner cost $3.50.
I understand the equations
6a+3x5c = 935
a+c= 210
How do I figure out how many dinners were adults and how many were children's?
1 solutions
Answer 72749 by checkley71(8403) on 2007-09-23 18:25:39 (Show Source):
You can put this solution on YOUR website!A+C=210 OR A=210-C FOR THE TICKETS SOLD.
6A+3.5C=935 NOW REPLACE A WITH(210-C) IN THIS EQUATION & SOLVE FOR C
6(210-C)+3.5C=935
1260-6C+3.5C=935
-2.5C=935-1260
-2.5C=-325
C=-325/-2.5
C=130 CHILDREN TICKETS SOLD.
A=210-130
A=80 ADULT TICKETS SOLD.
PROOF
6*80+3.5*130=935
480+455=935
935=935
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Angles/99935: \
____________30 __\_______________ I am sorry about the picture I did
(5y) /\ the best I could. I am trying to
/ \ solve for x and y. Could you
/ \ please help??
/ \
/ \
/(2x) (x-y)
------------/------------\----
1 solutions
Answer 72745 by checkley71(8403) on 2007-09-23 18:06:17 (Show Source):
You can put this solution on YOUR website!IF THE 2 HORIZONTAL LINES ARE PARALLEL THEN:
X-Y=30 OR X=30+Y
ALSO 5Y=2X REPLACE X WITH(30+Y) & SOLVE FOR Y
5Y=2(30+Y)
5Y=60+2Y
5Y-2Y=60
3Y=60
Y=60/3
Y=20 DEGREES.
X=30+20
X=50 DEGREES.
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test/99928: Find the difference
9/11 - 1/6
1 solutions
Answer 72742 by checkley71(8403) on 2007-09-23 17:52:42 (Show Source):
You can put this solution on YOUR website!FIRST YOU NEED TO FIND COMMON DENOMINATOR TO COMBINE (SUBTRACT) THESE TERMS.
THERE IS ALWAYS A SIMPLE, BUT ALWAYS A BETTER WAY, TO FIND A COMMON DENOMINATOR. HOEVER IN THIS CASE IT WORKS & IS THE LOWEST DENOMINATOR:
MULTIPLY THE TWO DENOMINATORS TOGETHER THUS:
11*6=66 WHICH HAVE COMMON FACTORS OF 11 & 6
(9*6-1*11)/66
(54-11)/66
43/66 OR .65 ANSWER.
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Square-cubic-other-roots/99933: This is my last question in order for me to finish my assignment. Is it posssible for someone to help me?
What is the square of 4 less than a number?
Thank you very much for your kindness
1 solutions
Answer 72738 by checkley71(8403) on 2007-09-23 17:42:44 (Show Source):
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Equations/99931: a coffee shop decides to blend a coffee that sells for$12 per pound with a coffee that sells for $9 per pound to produce a blend that will sell for $10 per pound. how much of each should be used to yield 20 pounds of the new blend?
1 solutions
Answer 72736 by checkley71(8403) on 2007-09-23 17:40:35 (Show Source):
You can put this solution on YOUR website!12x+9(20-x)=10*20
12x+180-9x=200
3x=200-180
3x=20
x=20/3 pounds of $12 coffee is needed.
20-6 2/3=13 1/3 or 40/3 pounds of $9 coffee is needed.
proof
12*20/3+9*40/3=200
240/3+360/3=200
80+120=200
200=200
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