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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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HELP!
konstantin123 [22]

Answer:

1.  10 square yards

2.  $9.10

3.  36 girls

4.  20 cherries

5.  159 bracelets

Step-by-step explanation:

1.

The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).

The middle part is taken out (this is a rectangle).

View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:

Area = Area of Whole Square - Area of Middle Rectangle Taken Out

Lets calculate:

Area of Whole Square:

side * side = 4 * 4 = 16

Now,

Area of Middle Rectangle Taken Out:

Length * Width

The length is given as 3

The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2

So, area = 3 * 2 = 6

Area of figure = 16 - 6 = 10 square yards

2.

We have to find 20% of the bill.

The bill was 45.50 and we have to find 20% of 45.50.

We first convert percentage to decimal by dividing by 100:

20% = 20/100 = 0.20

Now we multiply this decimal with the bill to get our desired answer:

0.20 * 45.50 = $9.10

The tip is $9.10

3.

The ratio of boys (b) to girls (g) would be 2 is to 3.

There are 24 boys.

We can set up a ratio (fraction) with boys on top and girls on bottom.

Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:

\frac{2}{3}=\frac{24}{g}

To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:

\frac{2}{3}=\frac{24}{g}\\2*g = 24*3\\2g=72\\g=\frac{72}{2}\\g=36

There are 36 girls in sixth grade

4.

For every "9" lemon, there are "4" cherries.

There are 45 lemons

If we think of "9" lemons as a "box", how many boxes of lemons are there?

45/9 = 5

Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:

4 * 5 = 20 cherries

We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:

\frac{Cherries}{Lemons}=\frac{4}{9}=\frac{c}{45}\\9*c=4*45\\9c=180\\c=\frac{180}{9}\\c=20

See, we have the same answer, 20 cherries!

5.

Number sold total = 14 + 27 + 45 = 86

She still has 73 in her stock

So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:

73 + 86 = 159 bracelets

Tia started with 159 bracelets

4 0
3 years ago
John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?​
earnstyle [38]

Answer:

$546000

Step-by-step explanation:

($65000×8%)(2)

7 0
3 years ago
Btw the answer has to be in fraction form if it’s a decimal then we will need to convert it into a fraction please help me
Misha Larkins [42]

Answer:

217 = 217/100 = 2.17

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
HELP PLEASE! Thank you
Lostsunrise [7]

Answer:

2000

Step-by-step explanation:

Hello,

A or C means 2 ways

and then a digit means 10 ways 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

so in total we have 2*10*10*10 = 2000 possible codes

Hope this helps

5 0
3 years ago
Haddie flipped a fair coin 12 times. The coin landed on heads 11 times and tails 1 time. She flips the coin a 13th time. How lik
Tpy6a [65]

Answer:

50/50. there is no outside force that decides otherwise

6 0
3 years ago
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