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3 years ago

“76 is 60% of what?” Help!

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

126.67

Hope this helps!

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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

3 years ago

X+6/2 - x-8/3 = 5<br><br> HELP PLEASE

Hoochie [10]

(x + 6)/2 - (x - 8)/3 = 5
Multiply each term by 6:-
3(x + 6) - 2(x - 8) = 30
3x + 18 - 2x + 16 = 30
3x - 2x = 30 -18 - 16
x = 30 - 34
x = -4 (answer)

4 0

3 years ago

Read 2 more answers

LOOK AT THE PHOTO HELP ME PLEASE

ICE Princess25 [194]

Answer:

30°

Step-by-step explanation:

$m\angle 2=m\angle 3$

(Alternate angles)

$\because m\angle 3 =30\degree$ (Given)

$\therefore m\angle 2 =30\degree$

3 0

3 years ago

Can someone help me with this it’s timed!!! Please help

Alinara [238K]

The answer is .. c8=88

4 0

3 years ago

The product of 2 more than 5 times a number and 4 less than three times a number

mote1985 [20]

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

8 0

3 years ago