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Finance/323610: Please help set up and solve this problem. Thank you.
A picture frame has a length l = 13 inches and the height of h= 11 inches. If the frame width is x inches, write and expression for the display area of the frame.
I know that A=LW
1 solutions
Answer 231549 by mananth(12270)   on 2010-07-19 08:20:22 (Show Source):
You can put this solution on YOUR website!A picture frame has a length l = 13 inches and the height of h= 11 inches. If the frame width is x inches, write and expression for the display area of the frame.
L=13
h=11
..
x is the width on both sides
so you have to subtract x+x to get the length and breadth of the display area
..
display area length will be 13-2x
display area height = 11-2x
..
Area of display area = (13-2x)(11-2x)
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Angles/323558: A cylindrical drum has a diameter of 4 yards and a volume of 63 cubic cubic yards. What is the height of the drum? (Hint: Use V = пr2h)
(Points :5)
1 solutions
Answer 231537 by mananth(12270) on 2010-07-19 05:44:38 (Show Source):
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Geometric_formulas/323561: what is the area of an isosceles right triangle with hypotenuse 6 square root of 2
1 solutions
Answer 231535 by mananth(12270) on 2010-07-19 05:22:21 (Show Source):
You can put this solution on YOUR website!let side be x
x^2+x^2= 6sqrt2
2x^2= 6sqrt2
x^2= 6/2 sqrt2
x^2=3sqrt2
..
Area of triange = 1/2* base * height
Area = 1/2 * x*x ( isoscles triangle)
area = 1/2 x^2
plug the value of x^2
area = 1/2* 3 sqrt2
area = 3/ sqrt2
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Graphs/323568: Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution.
A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?
I don't know where to begin with this problem.... Please Help.
1 solutions
Answer 231534 by mananth(12270) on 2010-07-19 05:11:42 (Show Source):
You can put this solution on YOUR website!A plane flies 400 miles with the wind and 300 miles against the wind in the same length of time. If the speed of the wind is 22 mph, what is the speed of the plane in still air?
let speed in still air be xmph
..
speed with wind will be x+22 mph it goes 400 miles
speed against wind will be x-22 . it goes 300 miles.
time taken is the same
..
400/ x+22 = 300/ x-22
400*(x-22)=300(x+22)
400x-8800=300x-6600
100x=15000
x=150 mph the speed of plane in still air
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Mixture_Word_Problems/323578: A plank can be sawn exactly into pieces 1 meter long, 1.5 m long or 2 m long. Find the least possible length of the plank.
1 solutions
Answer 231533 by mananth(12270) on 2010-07-19 05:05:10 (Show Source):
You can put this solution on YOUR website!pieces 1 meter long, 1.5 m long or 2 m long. Find the least possible length of the plank.
..
least possible length will be LCM of 1,1.5,2
=3
The least size will be 3 meters, from which all these sizes can be cut
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Mixture_Word_Problems/323576: Jack's stride is 64 cm long and Jill's is 56 cm long. If they start together, how far have they walked when they are next in step?
1 solutions
Answer 231531 by mananth(12270) on 2010-07-19 04:56:35 (Show Source):
You can put this solution on YOUR website!Jack's stride is 64 cm long
Jill's is 56 cm long.
..
Let them be in step after x strides
time taken by jack for x strides = x/64
..
time taken by Jill for x strides = x/56
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x/56-x/64=0
64x-56x= 64*56
8x = 64*56
x= 64*56/8
x= 8*56
x=448
..
It is just like taking LCM of 64 & 56
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Mixture_Word_Problems/323585: A chemist has two different solutions. One has 50% alcohol and 50% water and the other has 75% alcohol and 25% water. How many liters of each should be mixed to obtain 8 liters of solution comprised of 60% alcohol and 40% water?
1 solutions
Answer 231530 by mananth(12270) on 2010-07-19 04:45:19 (Show Source):
You can put this solution on YOUR website!One has 50% alcohol and 50% water
other has 75% alcohol and 25% water.
Mixture = 8 liters of solution 60% alcohol and 40% water?
..
let 50% alcohol required be x liters
75% acohol required will be 8-x liters
Total mixture = 8 liters 60%
..
0.5x+0.75(8-x)=8*0.6
0.5x+6-0.75x=4.8
-0.25x=-1.2
x= -1.2/ -0.25
x=4.8 liters 50% alcohol
75% alcohol required = 3.2 liters
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Triangles/323562: One side of a triangle is twice as long as the smallest side. The longest side is 3 meters longer than the middle side. Find the measurement of the three sides if the perimeter is 48 ft.
1 solutions
Answer 231520 by mananth(12270) on 2010-07-19 00:00:15 (Show Source):
You can put this solution on YOUR website!let smallest side be x
one side is 2x
the longest side = 2x+3
..
Perimeter = sum of all three sides =48
x+2x+2x+3= 48
5x+3=48
5x=45
x= 9
2x= 18
2x+3 = 21
..
9,18, 21 are the three sides.
CHECK
9+18+21=48
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Miscellaneous_Word_Problems/323557: Not sure if this goes here but thank you for your help.
A country has 221 mobile cellular telephones per 250 inhabitants. If the country's population is about 2,800,000 how many mobile cellular telephones does the country have?
1 solutions
Answer 231516 by mananth(12270) on 2010-07-18 23:13:39 (Show Source):
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Travel_Word_Problems/323081: Two rainstorms occured in one week in a certain area. The first storm lasted 25 hours, and the second storm lasted 40 hours, for a total 1775 mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 50mL per hour?
First Storm :_ mL/hr
Second Strorm:_mL/hr
1 solutions
Answer 231288 by mananth(12270) on 2010-07-16 21:52:46 (Show Source):
You can put this solution on YOUR website!First storm x ml/hr
second storm 50-x ml/hr
..
first storm 25 hours
second storm 40 hours
..
total was 1775 ml
..
25x+(50-x)*40=1775
25x+2000-40x=1775
-15x=-225
x=15 ml/hr first storm
y=35ml/hr second storm
..
15 ml/hr first storm
35ml/hr second storm
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Percentage-and-ratio-word-problems/323075: John bought two computers, one desktop and one laptop.Before finance charges, the laptop cost $1000 more than the desktop. John paid for the computers using two different financing plans. For the desktop rate was 3.5% per year, and for the laptop it was 6.5% per year. The total finance charges for one year were $490.
How much did the desktop computer cost before finance charges?
Thanks.
1 solutions
Answer 231286 by mananth(12270) on 2010-07-16 21:47:00 (Show Source):
You can put this solution on YOUR website!Let desktop cost $x -------- 3.5%
Laptop costs x+1000 -------- 6.5%
..
0.065(x+1000)+0.035x = 490
0.065x +65+0.035x=490
0.1x=425
x=425/0.1
x=4250 desktop cost
..
y=5250 Laptop cost
CHECK
4250*0.035+5250*0.065=490
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Polynomials-and-rational-expressions/323070: Please, I need help with these two problems.They need factored by grouping and checked Thank you for your help. I think it is x(x²+y)2xy²(x+y) but not sure.
x³y+2x²y²+xy³
x³+av+3a+3x² This one I have no idea how to solve.
1 solutions
Answer 231275 by mananth(12270) on 2010-07-16 20:58:06 (Show Source):
You can put this solution on YOUR website!x³y+2x²y²+xy³
..
x³y+x²y²+x^2y^2+xy³
..
x^2y(x+y)+xy^2(x+y)
x^2y+xy^2(x+y)
..
(x+y)xy(x+y)
xy(x+y)^2
..
x³+av+3a+3x² instead of v it should be x , I think
x³+av+3a+3x²
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Percentage-and-ratio-word-problems/322872: Gene purchased a condo for 90,000. He made a 15% down payment and assumed a 9% morgage for 20 years. Find the monthly payment and the finance charge
1 solutions
Answer 231161 by mananth(12270) on 2010-07-16 06:55:54 (Show Source):
You can put this solution on YOUR website!Condo price $ 90,000
15% down payment = 13500
Balance to be paid = 90000-14500=75500
The formula for monthly payment
C=Po[r(1+r)^n / (1+r)^n-1]
Po=76500
r=9% ( 0.09/12)=0.0075
n=20 years = 240 months
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(1+r)^n= (1+0.0075)^240=6.009
..
r(1+r)^n=0.0075*6.009=0.0450
..
(1+r)^n-1= 6.009-1= 5.009
..
r(1+r)^n/(1+r)^n-1 = 0.0450/5.009=0.00898
--
Po*0.00989=76500*0.00989= 687.26 per month
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Rate-of-work-word-problems/322915: A company's new printer can print checks three times faster than its old printer.
with both printers operating ,the checks can be printed in 6 minutes. how long would it take to print the checks with the new printer only ?
1 solutions
Answer 231160 by mananth(12270) on 2010-07-16 06:08:29 (Show Source):
You can put this solution on YOUR website!let the old printer's speed be x checks
1/x of the check it does it 1 minute
..
new printer will print at 3x checks
1/3x checks it prints in 1 minute
..
both print in 6 minutes
So 1/6 of the job they do in 1 minute
..
1/x + 1/3x = 1/6
3+1 /3x= 1/6
6*4=3x
3x=24
x= 8 checks by the old printer
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Quadratic_Equations/322863: The speed of a sparrow is x mph in still air. When the wind is blowing at 1 mph, the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out directly into the wind and returns with the wind behind him. FInd his speed in still air.
1 solutions
Answer 231159 by mananth(12270) on 2010-07-16 05:15:22 (Show Source):
You can put this solution on YOUR website!The speed of a sparrow is x mph in still air.
When the wind is blowing at 1 mph,
speed will be x-1 mph against the wind
time taken 12 hours
..
Distance traveled both ways is the same
Distance = rate*time
12*(x-1) = 12
with wind
5*(x+1)=12
..
12(x-1)=5*(x+1)
12x-12=5x+5
12x-5x=12+5
7x=17
x= 17/7 mph in still air
the sparrow takes 5 hours to fly 12 miles to its nest and 12 hours to return again. He flies out directly into the wind and returns with the wind behind him. FInd his speed in still air.
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Length-and-distance/322868: a 31 inch square tv is on sale at the local electronic store. If 31 inches is the measure of the diagonal of the screen use the pythagorean theorem to find the length of the side of the screen.
1 solutions
Answer 231158 by mananth(12270) on 2010-07-16 04:51:18 (Show Source):
You can put this solution on YOUR website!let the sides be x in each
x^2+x^2=31^2 (pythagorean theorem)
2x^2=31^2
divide by2
x^2=31^2/2
x^2=31/sqrt2
x=21.92 inches, the sides of the TV
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Travel_Word_Problems/322911: A man is going 1 hr late to his home one day wen he goes in 80 km speed..
he daily goes in 100 km speed..
Find the distance
1 solutions
Answer 231154 by mananth(12270) on 2010-07-16 04:35:45 (Show Source):
You can put this solution on YOUR website!let the house distance be x km
time = distance /rate
daily time taken = x/100
on this day time taken = x/80
The difference in time = 1 hour
..
x/80-x/100=1
100x-80x / 8000 =1
20x/8000=1
multiply by 8000 on both sides
20x= 8000
x=400 km
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absolute-value/322894: Translate the following problems into algebraic equations. It is not required that you solve the equations; simply translate them. Identify the variables, constants, and coefficients in each equation. Make equations with only one variable and simplify the equation on both sides until there are no parentheses and like terms have been combined.
The sum of three consecutive even numbers is 144; what are the numbers?
1 solutions
Answer 231153 by mananth(12270) on 2010-07-16 04:24:11 (Show Source):
You can put this solution on YOUR website!let the numbers be x , x+1 & x+2
Sum of the numbers = 144
x+(x+1)+(x+2)=144
3x+3=44
add -3
3x+3-3 = 44-3
3x=41
x is a variable, 3 is the co-efficient and the numbers are constant
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Problems-with-consecutive-odd-even-integers/322903: Can some one show me how to do this problem
using the five-step problem
For a holiday party, Marcus is making a five-layer torte, which consists of five 9-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 60 square inches of cake. How many batches of the topping must he make to complete his torte? (Use п = 3.14 as an approximate value) im lost please
1 solutions
Answer 231152 by mananth(12270) on 2010-07-16 04:17:22 (Show Source):
You can put this solution on YOUR website!Area of a circle = pi*r^2
r=4.5 in
Area of 1 layer torte = 3.14*4.5 ^2
Area of 1 layer = 63.58in^2
area of 5 layers = 5*63.58 =317.92 in ^2
..
60sq. in --- 1 batch
317.92 sq. in you will require 317.92/60
=5.92 batches
6 batches must be taken
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Problems-with-consecutive-odd-even-integers/322878: The sum of twice a first number and five times a second number is 111. If the second number is subtracted from five times the first number the result is 21. Find the numbers
1 solutions
Answer 231142 by mananth(12270) on 2010-07-15 23:09:21 (Show Source):
You can put this solution on YOUR website!The sum of twice a first number and five times a second number is 111.
let one number be x: other number be y
2x+5y=111................ equation 1
..
the second number is subtracted from five times the first number the result is 21.
5x-y=21................... equation 2
multiply equation 2 by 5 and it to equation 1 to eliminate y
25x-5y=105
..
25x-5y+2x+5y=105+111
27x=216
x=8
..
plug the value of x in equation 2
40-y=21
-y=-19
y=19
..
The numbers are 8 & 19
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Miscellaneous_Word_Problems/322618: Deshawn and Shayna are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffocil bul bs. Deshawn sold 10 bags of windflower bulbs and 12 bags of daffodil bulbs for a total of $380. Shayna sold 6 bags of windflower bulbs and 8 bags of daffodil bulbs for a total of $244. What is the cost each of one bag of windflower bulbs and one bag of daffodil bulbs?
1 solutions
Answer 230959 by mananth(12270) on 2010-07-15 09:43:32 (Show Source):
You can put this solution on YOUR website!Deshawn sold 10 bags of windflower bulbs and 12 bags of daffodil bulbs for a total of $380.
Shayna sold 6 bags of windflower bulbs and 8 bags of daffodil bulbs for a total of $244.
..
let windflower bulbs cost $x
And daffodil bulbs cost $y
..
Deshawn
10x+12y=380.............1
Shayna
6x+8y=244...............2
Multiply equation 1 by 3 and equation 2 by 5
30x+36y=1140
30x+40y=1220
subtract to eliminate x
30x+36y-30x-40y=1140-1220
-4y=-80
y=-80/-4
y=20
Plug the value of y in equation1
10x+12*20=380
10x+240=380
10x=140
x=14
--
windflower bulbs cost $14
And daffodil bulbs cost $20
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Volume/322619: An aluminum can has a volume of 250 gallons. What is its volume in cubic feet?
I believe I correctly answered this as 250gallons *.1337ft cubed = 33.425
so the volume is 33.425 ftcubed.
Next I need to use that volume (33.425ft cubed) to express the height(h) in terms of the radius (x)
I believe the formula would be h=v/pix^2 so
h=33.425ft^3/3.14x^2 I am not sure how to solve this or what is meant by express h in terms of x
Thank you so much for your help
Beth
1 solutions
Answer 230955 by mananth(12270) on 2010-07-15 09:19:06 (Show Source):
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