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HACTEHA [7]
3 years ago
5

A canoeist paddled down a river a distance of 2 miles in 45 minutes. Paddling up-stream on his return, it took him 90 minutes. F

ind the rate of the canoe in still water.
Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0
Speed of canoe in still water we will denote it CS and water itself has a speed we denote it WS. Downstream will be (CS + WS)*45 = 2, Upstream will be (CS - WS)*90 = 2. Solve the system you will find canoe speed in still water and the water speed as well. 90CS = 90WS +2, CS = WS+ 1/45 put it in the first function 90WS +1 = 2, WS = 1/90 miles per minute, CS =1/30 miles per minute.
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The coffee jug hold four times as much as the milk jug everyone has the same sized cup but each person likes different amounts o
svetlana [45]
We will assume that each of their cups holds exactly 1 cup of liquid.  Let <em>m</em> represent milk and <em>c</em> represent coffee.
Jane = 1/2<em>m</em> + 1/2<em>c</em> to represent 1/2 milk and 1/2 coffee
Jean, June, and Joan = 3(1/4<em>m</em> + 3/4<em>c</em>) [they all 3 like the same ratio, so multiply the expression by 3], to represent 1/4 milk and 3/4 coffee
Ian = 1<em>c </em>(since he likes black coffee, his entire 1-cup dish of coffee will be coffee)
Adding these together we have:
1/2<em>m</em> + 1/2<em>c</em> + 3(1/4<em>m</em> + 3/4<em>c</em>) + 1<em>c</em>
= 1/2<em>m</em> + 1/2<em>c</em> + 3/4<em>m</em> + 9/4<em>c</em> + 1<em>c</em>
Find a common denominator:
= 2/4<em>m</em> + 2/4<em>c</em> + 3/4<em>m</em> + 9/4<em>c</em> + 1<em>c</em>
Convert the 1 whole to a fraction:
= 2/4<em>m</em> + 2/4<em>c</em> + 3/4<em /><em>m</em> + 9/4<em>c</em> + 4/4<em>c</em>
Combine your <em>m</em>'s:
= 5/4<em>m</em> + 2/4<em>c</em> + 9/4<em>c</em> + 4/4<em>c</em>
Combine your <em>c</em>'s:
= 5/4<em>m</em> + 15/4<em>c</em>
We know there is 4 times as much coffee as milk.  Looking at the two fractions we have left, we can see that 15/4<em /> = 3(5/4).  We would expect to see 4(5/4), since there is 4 times as much coffee.  That means we have 5/4 or 1 1/4 of the liquid left.
7 0
3 years ago
The area of a circular garden is approximately 804 ft squared. What is the circumference, diameter, and radius of the garden?
antiseptic1488 [7]
Area of a circle is \pi r^2

804 = \pi r^2

804 / pi = r^2 

r= square root of (804/pi) which is about 16.

The radius is 16, the diameter is 32. 
The circumference is 2(pi)r = 32pi
5 0
3 years ago
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