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2 years ago

On a test of 45 items jennifer got 27 correct what percent were incorrect

Mathematics

1 answer:

sergiy2304 [10]2 years ago

5 0

25/45 45 divided by 27
that is .6 make it a percent by moving to decimal places to the right
60.00
60%

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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.

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2 years ago

Can someone explain to me what I am supposed to do without giving me the answers? ( I hint basically as in what to do first, sec

ladessa [460]

divided 21 by that number

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3 years ago

The first term of a sequence is 18, and the fifth term is 54. What is the common difference between each two consecutive terms?

wel

Answer:

Step-by-step explanation:

Sorry to lazy to type

Calculation is up

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2 years ago

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A race car is driven around a circular track at a constant speed of 180 miles per hour. If the diameter of the track is 1/2 mile

velikii [3]

F the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

the angular speed is theta/time, which means

w=theta/time

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w=velocity*radians

velocity is 180 mph and radians are (revolution/2 radius), that is:

w=180*(1/2*0.25)
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3 years ago

Use completing the square to solve this quadratic equation. Check all that apply. X^2-10x+25=2

umka21 [38]

Answer:

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Step-by-step explanation:

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