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3 years ago

2/5n+1/10=1/2(n+4) is this no solution?

1 answer:

3 0

$\dfrac{2}{5}n+\dfrac{1}{10}=\dfrac{1}{2}(n+4)\ \ \ |\cdot10\\\\10\cdot\dfrac{2}{5}n+10\cdot\dfrac{1}{10}=10\cdot\dfrac{1}{2}(n+4)\\\\2\cdot2n+1=5(n+4)\ \ \ \ |\text{use distributive property}\\\\4n+1=(5)(n)+(5)(4)\\\\4n+1=5n+20\ \ \ |-1\\\\4n=5n+19\ \ \ \ |-5n\\\\-n=19\ \ \ |\cdot(-1)\\\\\boxed{n=-19}$

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3 years ago

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

Tpy6a [65]

Answer: a) $N(t)=1500(2)^t$

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

$y= ab^t$ , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

$N(t)=1500(2)^t$

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

$N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000$

Hence, the number of bacteria after 24 hours is 25165824000.

7 0

3 years ago

Solve equation by factoring.<br><br> X3 - 49x = 0

Drupady [299]

Answer: x=7 or x=-7

x(x+7)(x-7)=0

5 0

3 years ago

Read 2 more answers

Find LCM of 9-p^2 and p^2+3p

snow_lady [41]

Answer:

(3+p)

Step-by-step explanation:

solution

first expression=9-P^2

=3^2 - P^2

=(3+P) (3-p)

second expression=p^2 + 3p

= p(3+p)

Therefore lCM= (3+p)

3 0

2 years ago

How to Simplify 6y + 5z + 8y – 3z?

Gekata [30.6K]

To simplify, you just condense all of the values with the same variable, based on the signs of those values.
In this example,
6y + 5z + 8y - 3z
is the same as
6y + 8y + 5z - 3z
which can be simplified to
14y + 2z
which is the answer to your question.
Hope that helped =)

4 0

3 years ago

Read 2 more answers