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3 years ago

6

how could i answer this question? "suppose 2 friends want to share 5 cookies evenly. Interpret the remainder in two different wa

ys." please help me

1 answer:

laiz [17]3 years ago

8 0

They both can have two cookies and then split the fith one in half

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A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

$\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}$

We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

According to the question,

$\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}$

Taking LCM and 6 common

$6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}$

Take 6 to another side,

$\frac{9}{9x-x^2}=\frac{8}{3\times 6}$

Cross multiply,

$9\times 18=8\times(9x-x^2)$

$162=72x-8x^2$

Taking 4 common and cancel out

$4x^2-36x+81=0$

Solve quadratic equation by middle term split,

$4x^2-18x-18x+81=0$

$2x(2x-9)-9(2x-9)=0$

$(2x-9)(2x-9)=0$

$\Rightarrow 2x-9=0$

$\Rightarrow x=\frac{9}{2}=4.5$

Therefore, The speed of the river's current is 4.5 km/hr.

6 0

2 years ago

Find the equation of the linethe line passes through the points (5,2) and (-4,-4)

almond37 [142]

Answer:

$y = \frac{2}{3}x - \frac{4}{3}$

Step-by-step explanation:

first find the slope using the above points then use the slope formula to calculate the slope

$m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3}$

substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b

$y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3}$

substitute the slope and the value for b into the equation to get the answer

$y = \frac{2}{3} x - \frac{4}{3}$

4 0

3 years ago

I need the answer pls help me

Fynjy0 [20]

Answer:

A reflection followed by a translation!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

3 0

3 years ago

HELPPPP DUE TOMORROW!!!!

prohojiy [21]

Answer:

Will answer when given context.

Step-by-step explanation:

Where did Admedi come from? Is there a story?

8 0

3 years ago

the directions are : find the constant of proportionality for the graph and write in the form y = kx.n

Lelechka [254]

here is the answer (A) y=1/5 x

5 0

2 years ago