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Wewaii [24]
3 years ago
13

Convert this decimal into its fractional

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

0.1 = 10/100

     = 1/10

The final answer should be 1/10

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Find the number that we can place in the box, so that the resulting quadratic is the square of a binomial.
Arturiano [62]

We need a number to complete

(x+c)^2=x^2+2xc+c^2

Since we have

2xc=\dfrac{4}{5}x \iff 2c=\dfrac{4}{5}\iff c=\dfrac{4}{10}=\dfrac{2}{5}

And so the expanded square is

\left( x+\dfrac{2}{5}\right)^2=x^2+\dfrac{4}{5}x+\dfrac{4}{25}

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4 years ago
Suppose that the price​ p, in​ dollars, and the number of​ sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 p
andreev551 [17]

Answer:

There is a decrease of 0.75 sales per day

Step-by-step explanation:

Given:-

- The price of item = p

- The number of sales = x

- The relationship between "p" and "x" is given below:

4p+4x+2px=56

Find the rate at which x is changing when x=2, p=6, and dp/dt=1.5 The rate at which x is changing is [ ] sales per day

Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 2px ). Since both "p" and "x" are only functions of time "t":

d/dt

4p+4x+2px=56

4*dp/dt + 4*dx/dt + 2*(x*dp/dt + p*dx/dt)=0

Use the given values x=2, p=6, and dp/dt=1.5 to determine dx/dt

4*1.5 + 4*dx/dt + 2*(2*1.5+6*dx/dt)=0

6+4dx/dt + 2*(3+6dx/dt)=0

6+4dx/dt + 6+12dx/dt=0

12+16dx/dt=0

12=-16dx/dt

dx/dt= 12/-16

= -0.75

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3 years ago
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Step-by-step explanation:

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taurus [48]
He will be able to play 4 total rounds
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