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4 years ago

8 is 10% of what number?

Mathematics

2 answers:

Ne4ueva [31]4 years ago

5 0

First, set up your equation
8=.1x
Next, divide everything by .1
8/.1=.1x/.1
80=x

natita [175]4 years ago

3 0

Um that should be easy. 10% means there are 10 more 10%'s to reach 100% and if 8 is 10% you have 10 8's and that's 80.

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A sample of a radioactive isotope had an initial mass of 360 mg in the year 1998 and

RUDIKE [14]

Answer:

193 mg

Step-by-step explanation:

Exponential decay formula:

$A_t = A_0e^r^t$
where Aₜ = mass at time t, A₀ = mass at time 0, r = decay constant (rate), t = time

Our known variables are:

1998 to the year 2004 is a total of t = 6 years.
The sample of radioactive isotope has an initial mass of A₀ = 360 mg at time 0 and a mass of Aₜ = 270 mg at time t.

Let's solve for the decay constant of this sample.

$270=360e^-^r^(^6^)$
$270=360e^-^6^r$
$\frac{3}{4} =e^-^6^r$
$\text{ln} (\frac{3}{4} )= \text{ln}(e^-^6^r)$
$\text{ln} (\frac{3}{4} )=-6r$
$r=-\frac{\text{ln}\frac{3}{4} }{6}$
$r=0.04794701$

Using our new variables, we can now solve for Aₜ at t = 7 years, since we go from 2004 to 2011.

Our new initial mass is A₀ = 270 mg. We solved for the decay constant, r = 0.04794701.

$A_t=270e^-^(^0^.^0^4^7^9^4^8^0^1^)^(^7^)$
$A_t=270e^-^0^.^3^3^5^6^2^9^0^7$
$A_t=193.01982213$

The expected mass of the sample in the year 2011 would be 193 mg.

3 0

3 years ago

Plss help i’ll give brainliest thank you!

adoni [48]

Answer:

The absolute value of -9 is less than 9 I'm pretty sure

3 0

3 years ago

5/9 = ?/54 whats the answer

Shkiper50 [21]

Answer:

30/54

Step-by-step explanation:

1st make and equation so 5/9=x/54

now cross-multiply.

5/9=x/54

(5)*(54)=x*(9)

270=9x

you can flip the equation.

9x=270 (next divide both sides by 9)

x=30

so 30/54=5/9

hope this helps :)

5 0

3 years ago

For every 5 baskets kevon shoots , he misses three. If Kevon takes 25 shots, how many shots does he miss

marishachu [46]

$\frac{5}{3} = \frac{25}{x} 

25*3=75.
75/5= 15 missed shots.$

7 0

4 years ago

Solve for x. Assume that lines are diameters?

Delicious77 [7]

360 - 20 + 2x = 360
340 + 2x = 360
2x = 20
x = 10

5 0

3 years ago

Read 2 more answers