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3 years ago

PLEASE HELP ME :( Solve N = 3pg^2 - 2pv for v.

Mathematics

1 answer:

BigorU [14]3 years ago

7 0

Answer:

v = $\frac{3pg^2-N}{2p}$

Step-by-step explanation:

Given

N = 3pg² - 2pv ( isolate term with v by subtracting 3pg² from both sides )

N - 3pg² = - 2pv ( multiply through by - 1 to clear the negatives )

3pg² - N = 2pv ( divide both sides by 2p )

$\frac{3pg^2-N}{2p}$ = v

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3 years ago

A group of people went to a coffee shop.

Zielflug [23.3K]

Answer:

Fraction of the people chose a tart = $\frac{13}{45}$

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

drink and a treat. number of people who chose coffee: number of

people who chose tea = 1:4. Of those who chose coffee, number of

people who chose a muffin number of people who chose a tart =

2:7. Of those who chose tea, number of people who chose a muffin

: number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = $\frac{1}{5}.5x$ = x

Total number of people who chooses tea = $\frac{4}{5}.5x$ = 4x

Now,

As given,

Of those who choose coffee, number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee = $\frac{2}{9}x$

Total number of people who choose tart after coffee = $\frac{7}{9}x$

Also,

Given that

Of those who chose tea, number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea = $\frac{5}{6}.4x = \frac{20}{6}x$

Total number of people who choose tart after tea = $\frac{1}{6}.4x = \frac{4}{6}x$

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = $\frac{7}{9}x$ + $\frac{4}{6}x$

= $\frac{7}{9}x + \frac{2}{3}x$

= $\frac{7x + 6x}{9}$

= $\frac{13}{9}x$

⇒Total number of people who chooses tart = $\frac{13}{9}x$

Now,

Fraction of the people chose a tart = $\frac{People choose tart}{Total people}$

= $\frac{\frac{13}{9}x }{5x}$

= $\frac{13}{45}$

⇒Fraction of the people chose a tart = $\frac{13}{45}$

4 0

3 years ago

Question six about significant figures, please help!

belka [17]

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2 if zero proceeding the decimal point also work as non zero figure

3 zero are following the decimal point and proceeding the first non zero digit

4 Zero in between 2 non zero digits are also significant

5 if 1 zero follow the decimal point

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81.05 :- 4 significant figures ( rule 4)

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3 years ago

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

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Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

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3 years ago

What is the measure, in degrees, of ABC? <br>

kirza4 [7]

Answer:

25 Degrees

Step-by-step explanation:

155+25=180

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3 years ago