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What is the speed of the boat in still water? |
2011-10-07 |
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From Hannah:
The speed of a stream is 3 mph. A boat travels 10 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat in still water
Answered by Penny Nom. |
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Three consecutive odd integers |
2011-10-07 |
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From Muneera:
Find 3 consecutive odd integers so that 3 times their sum is 5 more than 8 times the middle one?
Answered by Penny Nom. |
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Linear equations |
2011-10-06 |
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From Hannah:
I am confused about a question on my homework, here is an example on what I need to do:
You own a sightseeing boat tour. Kids' admission costs $5, adults' admission costs $8.
During that day you get (made-up number) $521 with 71 admissions.
How many of each passenger boarded?
I tried something like
5x + 8y = 521
x + y = 71
But, I still don't understand how to solve it! Help?
Answered by Penny Nom. |
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Two great circles |
2011-10-06 |
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From Jean:
"Two great circles lying in planes that are perpendicular to each
other are drawn on a wooden sphere of radius "a". Part of the sphere
is then shaved off in such a way that each cross section of the
remaining solid that is perpendicular to the common diameter of the
two great circles is a square whose vertices lie on these circles.
Find the volume of this solid."
I don't understand the geometry of the problem.
Can you please explain the problem and if possible draw a diagram for me
?
Answered by Chris Fisher. |
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Maximum area of a rectangle |
2011-10-04 |
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From Lyndsay:
A rectangle is to be constructed having the greatest possible area and a perimeter of 50 cm.
(a) If one of the sides of the rectangle measures 'x' cm, find a formula for calculating the area of the rectangle as a function of 'x'.
(b) Determine the dimensions of the rectangle for which it has the greatest area possible. What is the maximum area?
Answered by Penny Nom. |
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Chuong and Hassan drive to work |
2011-10-04 |
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From Dilshad:
Chuong and Hassan both drive 40 km from home to work each day. One day Chuong said to Hasssan, "If you drive home at your usual speed, I will average 40 kmph faster than you and arrive home in 20 minutes less time." Find Hassan's speed.
Answered by Penny Nom. |
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Six golphers for 27 weeks |
2011-10-04 |
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From ken:
I have 6 golfers alternating playing in a group of 4 each week for 27 weeks.
How can I create a schedule so that each golfer both plays equally and plays against the other golfers an equal amount of time
Answered by Victoria West. |
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A reservoir has the shape of an inverted cone |
2011-10-03 |
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From Roger:
a reservoir has the shape of an inverted cone whose cross section is an equilateral triangle. if water is being pumped out of the reservoir at a rate of 2m^3/sec, at what rate is the depth of the water changing when the depth is 40 meters?
Answered by Penny Nom. |
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A trapezoid inscribed in a circle |
2011-10-02 |
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From Greg:
A trapezoid is inscribed within a circle.
The two interior angles who share the longest side are 70 and 80.
The arc whose chord is the longest side has a length of 120.
Find the other two interior angles of the trapezoid, and the other three arc lengths.
Answered by Chris Fisher. |
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Drawing three coins from 10 coins |
2011-09-29 |
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From Michelle:
Three coins are chosen at random from a purse containing 6 dimes & 4 quarters. What is the probability that the selection will contain at least one quarter?
Answered by Penny Nom. |
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3-digit, daily numbers |
2011-09-29 |
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From Margaret:
I need the list/group for a raffle that would contain the combinations
for a 3 digit (000-999) daily number. There would be 100 tickets sold
with 10 3-digit numbers from each numerical group beginning
from 000's, 100's 200's, 300's,...900's. No duplicates/replacement. What would be the
list of possible combinations of each group of 100 tickets, keeping each
different group/list of combinations in separate blocks of 100 tickets
without duplication. So I could use 1 list of 100 this year and the next list of
combos next year and so forth. Please help!
Example: 000,197,245,367,445,569,618,777,842,964
What would be the possible lists of each 100 tickets?
Thank you
Answered by Penny Nom. |
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Three men sharing a task |
2011-09-27 |
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From Olaniyan:
Three men do a piece of work, the first does 7/15, the second does 5/6 of the remainder while the third does the rest.if the rest done by the third person equals 24 units, find the whole piece of work?
Answered by Penny Nom. |
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A hemispherical bowl with a lead ball inside |
2011-09-27 |
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From Jean:
"(a) Water is being poured into a hemispherical bowl of radius 3 inch
at the rate of 1 inch^3/s. How fast is the water level rising when the
water is 1 inch deep ?
(b) In (a), suppose that the bowl contains a lead ball 2 inch in
diameter, and find how fast the water level is rising when the ball is
half submerged."
Answered by Penny Nom. |
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90 cm of pipe |
2011-09-26 |
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From margie:
A 90cm pipe is cut into two pieces so that one pieces is 6cm shorter than the other. how long was each piece?
Answered by Penny Nom. |
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A tank is 3/8 full |
2011-09-24 |
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From Olaniyan:
When 150 liters has been drawn from a tank, it is 3/8 full; how many liters will the tank hold?
Answered by Penny Nom. |
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