James paddles upstream in a canoe at 2mph (relative to the shore), and when he paddles down-stream, he goes 9mph. Find the speed of the current and the speed James can paddle in still water and come up with an equation.

Answers

Answer 1

Answer: Let x represent James's speed and y represent the speed of the current. Since upstream the current goes against him, $x-y=2$ describes the speed upstream, and since downstream the current goes with him, $x+y=9$ describes the speed downstream.

Use elimination to solve for x: $x-y=2 \n -(x+y=9) \n =-2y=-7 \n y=7/2$ or 3.5 miles per hour for James in still water. Substitute y into either original equation: $x-(7/2)=2 \n x=11/2$ or 5.5 miles per hour for the current. As far as an equation, you can use $y=(11/2)x$ , where x is the number of hours James has paddled in still water and y is the distance he has traveled (in miles).

Answer 2

Answer: Not sure what equation you're looking for, but against the current he goes 2 mph and with he goes 9mph, so 9-2=7mph difference between them, divided by 2 = 3.5 mph of the current. So in this case, James can paddle 2+3.5= 5.5 mph in still water and the current moves at 3.5 mph.

James can paddle 5.5 mph
The current moves at 3.5 mph
Equation: speed = 5.5 + 3.5x where x can equal -1, 0, or 1 depending on whether James is going with the current (x = 1), without the current (x = 0), or against the current (x = -1)

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in this triangle, the product of sin b and tan c is , and the product of sin c and tan b is . nextreset

Answers

The triangle is a right triangle with:1) leg c opposed to angle C.2) leg b opposed to angle B.3) hypotenuse, a, opposed to angle A.So, using the definitions of the trigonometric ratios, you get:1) sin C = opposite leg / hipotenuse = c / a.2) tan B = opposite leg / adjacent leg = b / c=> sin C * tan B = [c / a] * [b / c] = b / a.Answer: b / a

Answer:

the answer is a/b

Step-by-step explanation:

Divide. Write the answer in simplest form.\frac{5}{6}\div4
6
5

÷4

Answers

Answer:

3/10

Step-by-step explanation:

Calcule a soma dos multplos positivos de 9 monores que 100

Answers

Calculate some two positive multiples of 9 less than 100.

Multiples of a whole number are found by taking a product of any counting number and that whole number.

Counting number whole number multiples
1 9 9
2 9 18
3 9 27
4 9 36
5 9 45
6 9 54
7 9 63
8 9 72
9 9 81
10 9 90
11 9 99

The multiples listed are all less than 100. You can choose which two positive multiples you want.

What is the volume of a rectangular prism with a length of 812 cm, width of 913 cm and a height of 1225 cm?

Answers

812*913*1225 = 908161100cm^3
or 8.12*9.13*12.25 = 908.1611 m^3

Volume is Length X width X height. They already give you the values, so you'd multiply 812 by 913 and 1225, which would give you;

908161100

At the start of the day there was £129.75 in the till. One hour later there is £145.50.
How much money did the shop make in an hour?

Answers

Start of the day = £129.75

1 hour later = £145.50

Difference (amount made in 1 hour) = £145.50 - £129.75
= 15.75

The shop makes £15.75 in one hour

8 m
15 m
What is the perimeter?

Answers

Answer:

The perimeter is 46.

Step-by-step explanation:

You have to add the numbers 15 + 15 = 30 and 8+8 =16 then add 30 plus 16 which gets you 46.

Answer:

The perimeter is 46

Step-by-step explanation:

do the math 8+8=16 15+15=30 30+16=46

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