Search found 92 matches
5 hours @ 50mph = 250 miles
1 gallon at this speed = 30 miles
250 miles -> 25/3 gallons = 8 1/3 gallons
As a fraction of 12 gallons (full tank) = (25/3)/12 = 25/36 E.
- by moutar
Sun Apr 12, 2009 3:09 pm- Forum: Problem Solving
- Topic: Rate and fractions
- Replies: 2
- Views: 1243
Price of enhanced computer and printer = 2500 + 500 = 3000
Price of printer = 1/5 x 3000 = 600
Therefore, price of basic computer = 2500 - 600 = 1900
D.
- by moutar
Sun Apr 12, 2009 3:06 pm- Forum: Problem Solving
- Topic: dont understand
- Replies: 2
- Views: 1380
The distance between the centre of the two wheels is the same as the horizontal part of the belt.
The part that is touching each wheel is equal to half the diameter for each one.
Answer = (Total length - 2 x half circumference)/2
= (15 - 2 x pi x 0.5)/2
= (15 - pi)/2 A.
- by moutar
Sun Apr 12, 2009 3:04 pm- Forum: Problem Solving
- Topic: applied circumference problem..finding distance?
- Replies: 4
- Views: 1447
From the ratios 1/4 of the juice is concentrate (3/4 water)
Total number of ounces of juice = 200 x 6 = 1200 oz
Amount of concentrate = 1/4 x 1200 = 300oz
Number of 12-ounce cans = 300/12 = 25 = A.
- by moutar
Sun Apr 12, 2009 3:00 pm- Forum: Problem Solving
- Topic: question on cans and juice
- Replies: 2
- Views: 919
You are getting it wrong because there are alternating signs. This is one way you could look at it. There are others. T = 1/2 - 1/4 + 1/8 - 1/16 + 1/32 - 1/64 + ... = (1/2 - 1/4) + (1/8 - 1/16) + (1/32 - 1/64) + ... = 1/4 + 1/16 + 1/64 + ... This sum will be a little bit more than a quarter. Thus an...
- by moutar
Sun Apr 12, 2009 2:57 pm- Forum: Problem Solving
- Topic: Sums and what not?
- Replies: 2
- Views: 1030
I would just work with the product of prime factors. So 96 = 2 x 48 = 2 x 2 x 24 = 2 x 2 x 2 x 12 = 2 x 2 x 2 x 2 x 6 = 2 x 2 x 2 x 2 x 2 x 3 = 2^5 x 3 Obviously its faster if you see that 32 is a factor and 32 = 2^5 Therefore, 96^2 = (2^5 x 3)^2 = 2^10 x 3^2 Is this what you were asking? Is there a...
- by moutar
Sun Apr 12, 2009 1:36 pm- Forum: Problem Solving
- Topic: Best way to simplify 96^2 into other exponents?
- Replies: 3
- Views: 2513
Call remaining vertex (a,b)
Average of x co-ords:
(0+6+a)/3 = 3
6+a = 9
a = 3
Average of y coords:
(0+0+b)/3 = 2
b/3 = 2
b = 6
So missing co-ord is (3,6) B.
- by moutar
Fri Apr 10, 2009 5:23 am- Forum: Problem Solving
- Topic: coordinates of the remaining vertex
- Replies: 1
- Views: 1794
You are wrong because if z = 0, then x can equal anything.GID09 wrote:Why not A?
If X is 0, Z must be 0...
For rest of the equations you get one or two variables i.e x=x or y+z = y+z(so variables could be of any value, not necessarily the value given in choices).
Correct me if I am wrong.
- by moutar
Fri Apr 10, 2009 4:07 am- Forum: Problem Solving
- Topic: must be true?
- Replies: 11
- Views: 1938
Simon paints 1/2 the house in one hour and Sam paints a 1/3 if the house in an hour. Therefore in one hour 5/6 of the house has been painted between them.
Then, it take 12 mins to paint 1/6 of the house
-> it take 1h 12 mins to paint the whole house.
- by moutar
Fri Apr 10, 2009 1:18 am- Forum: Problem Solving
- Topic: simple question yet complicated for a newbie
- Replies: 2
- Views: 1206
Length of radius of the circle: {(-root(3))^2 + 1^2}^1/2 = {3+1}^1/2 = 2 Angle made between lines BO and the y axis: cos x = 1/2 (adj/hyp) x = 60 deg Therefore angle made between y axis and AO: 90 - 60 = 30 Length of AO = 2 So x co-ordinate of A = 2 sin 30 = 1 OA? There must be a quicker way of doin...
- by moutar
Thu Apr 09, 2009 10:12 am- Forum: Problem Solving
- Topic: Circle Question
- Replies: 1
- Views: 1272
The question is what has to happen. If x is 1, y doesn't have to be 1, it can be anything. It's asking for the exact situation where the equation is true.
The way you are thinking all of the options would work.
- by moutar
Thu Apr 09, 2009 7:18 am- Forum: Problem Solving
- Topic: must be true?
- Replies: 11
- Views: 1938
"which of the following must be true?"
All of B doesn't have to be true because y can take any value if x = 1.
- by moutar
Thu Apr 09, 2009 7:04 am- Forum: Problem Solving
- Topic: must be true?
- Replies: 11
- Views: 1938
P(at least one fashion book) = 1 - P(no fashion books) = 1 - P(SSS) = 1 - (4/8 * 3/7 * 2/6) = 1 - 1/14 = 13/14 [1st choice: 4 out of 8 books are fashion 2nd choice: 3 out of 7 remaining books are fashion 3rd choice: 2 out of 6 remaining books are fashion]
- by moutar
Thu Apr 09, 2009 6:52 am- Forum: Problem Solving
- Topic: one fashion book
- Replies: 2
- Views: 1615
Very difficult to explain without the aid of a diagram. The area enclosed by the function is a square with vertices at (10,0), (0,10), (-10,0) and (0,-10). Each quadrant of the co-ordinate axes has the same triangle (and there are 4 of them). Area of triangle = 1/2 x 10 x 10 = 50 Total area = 50 x 4...
- by moutar
Thu Apr 09, 2009 6:45 am- Forum: Problem Solving
- Topic: area
- Replies: 1
- Views: 1365
A prime number has no factors other than 1 and itself. Therefore every number less than p does not have any factor in common other than 1. There are p-1 numbers less than p so answer is A.
- by moutar
Thu Apr 09, 2009 6:36 am- Forum: Problem Solving
- Topic: the following rule:
- Replies: 1
- Views: 1144