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3 years ago

3. If 4 is subtracted from twice a number the result is 10 less than the number

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

2x - 4 = 10

Add 4 to both sides.

2x = 14

Divide both sides by 2.

x = 7

3(x/2) = x/4

Distributive property.

3x/2 = x/4

Convert denominators to a common number.

6x/4 = x/4

Multiply both sides by 4.

6x = x

Subtract x from both sides.

5x = 0

Divide both sides by 5.

x = 0

This equation is equal to 0.

3(n + 2) = n - 5

Distributive property.

3n + 6 = n - 5

Subtract n from both sides.

2n + 6 = -5

Subtract 6 from both sides.

2n = -11

Divide both sides by 2.

n = -5.5

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3 years ago

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S_A_V [24]

Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Situation:

Arturiano [62]

Answer:

t = 6162 years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

$N(t)=N_0\,e^{-0.0001\,\,t}$

If the skull contains 54% of its original amount of C14, then that means that :

$N(t)=0.54 \,\,N_0$

we use this to solve for the time (t) in our equation:

$0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years$

which rounded to the nearest year as requested gives :

t = 6162 years

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3 years ago

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Maurinko [17]

The answer is 3.785, but rounding it to the nearest hundredth is 3.78 or 3.79, depending on rather they wanted you to take the 5 and round up or just leave it off.

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2 years ago