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NeTakaya
3 years ago
8

If m varies directly as v² and m =3, when v=2, calculate the value of m when v=9

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

m=243/4 when v=9.

Step-by-step explanation:

We know that when y varies directly with x², the formula of direct proportion is

  • y=kx²

where 'k' is the constant of variation.

so

As m varies directly with v², and m=3 when v=2

m=kv²

k=m/v²

 = 3/(2)²

  =3/4

Hence, k=3/4

so when v=9 then the expression becomes

m=kv²

substituting v=9 and k=3/4

m= 3/4(9)²

   =3/4 × 81

    =243/4

Therefore, m=243/4 when v=9.

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What is the answer to this
olasank [31]

Three times the variable m minus four is equal to fourteen.

Another way could be:

Four less than three multiplied by m is equivalent to fourteen.


The first way I put it is simpler but if you really want to impress your teacher then I suggest going with the second way.

Also if you are looking to solve the equation then it would be:

3m - 4 = 14

      +4   +4

     ------------

       3m = 18

      -----    -----

         3        3

m = 5


Hope that helped :-)

8 0
3 years ago
Express the location of the point on the number line as both a fraction and a decimal.
insens350 [35]
Decimal: 0.3
Fraction: 3/10
3 0
3 years ago
Someone help me.... if u guys geniussssss​
Goshia [24]

Answer: For a) the Factor is (x+2) (x+1)

Step-by-step explanation: Because (x+2) multiplied by (x+1) gives you x2 + 3x +2.

I don't know your language so I don't know if that was the question or what the other questions were asking, but that's the best I can do

5 0
3 years ago
The CP of 25 articles is equal to the SP of 30 articles . Find the profit and loss percentage .​
Studentka2010 [4]

Answer:

Loss = 16.67%

Step-by-step explanation:

Assume cost price(CP) of 1 article = x

Therefore cost price of 25 articles = 25x

Given cost price of 25 article = selling price of 30 articles

Clearly, it is a loss.

Selling price(SP) of 30 articles = 25x

So , \ selling \ price\  of\  one\ article = \frac{25x}{30}\\\\Therefore , Loss \% = \frac{CP - SP}{CP} \times 100\\

                            =\frac{x - \frac{25x}{30}}{x } \times 100\\\\=\frac{30x - 25x }{30x }\times 100\\\\=\frac{5}{30} \times 100\\\\=16.67 \%

5 0
3 years ago
Read 2 more answers
1. Find the values of X and Y.
Andrei [34K]
156 and (14y+30) are opposite angles so they are the same. You can use this information to put them into an equation to solve;

14y+30 = 156
You want you the the y's alone, so you subtract 30 from each side.
14y = 126
Then divide each side by 14 to get what just 1 y is.
y = 9

Then to find what the other pair of opposite angle add up to subtract 156x2 from 360
156x2 = 312             360-312 = 48

Halve 48 to get the sum of just one of the opposite angles
48/2 = 24
Now you know that 3x = 24.       Solve this equation
                                 x = 8
4 0
3 years ago
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