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3 years ago

Can you factorise X=3a-2x10-2a

Mathematics

1 answer:

tamaranim1 [39]3 years ago

6 0

x = 3a - 2·10 - 2a

x = 3a - 2a - 20

x = a - 20

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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

3 years ago

Which point is located in Quadrant III ?

Firdavs [7]

Answer:

here you go :)

Quadrant lll is always both negative so the answer is (-1/2, -1/4)

Step-by-step explanation:

3 0

2 years ago

Find the solution of this system of equations 2x-4y=32 <br> 2x-8y=48

EleoNora [17]

2x - 4y = 32
2x - 8y = 48

2x - 2x - 4x - (-8y) = 32 - 48

4x = -16
x = -16 ÷ 4
x = -4

substitute your value of x into any of the original equations

2 (-4) - 4y = 32

-8 - 4y = 32

-4y = 32 + 8

-4y = 40
y = 40 ÷ -4
y = -10

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3 years ago

Solve the proportion -4/7 = 6/2y+5

Veseljchak [2.6K]

Hope this is helpful :)

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3 years ago

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

PtichkaEL [24]

Answer: The answer is A

Step-by-step explanation: 4c+6a<120 and 4c+4a<100

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3 years ago