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3 years ago

Translate the sentence into an equation.

Mathematics

1 answer:

Luba_88 [7]3 years ago

3 0

Answer:

The expression of the given statement is 8 y - 2 = 6.

Step-by-step explanation:

Here, let the unknown number = y

Now, product of y and 8 = 8 times y = 8 y

Also, two less than the product = Product - 2

So, two less than the product of 8 and y = 8 y - 2

Now, this above expression is equivalent to 6.

⇒8 y - 2 = 6

Hence the expression of the given statement is 8 y - 2 = 6.

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2/35=x/140 solve the proportion

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3 years ago

The ratio of a number and 4 times that number is equal to the ratio of 5 times the number and 95 more than a number

il63 [147K]

Answer:

1/4 = (5n)/(n +95)

Step-by-step explanation:

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The equation for the problem can be written ...

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___

If you're a purist, you might leave the factors of "a number" in the first raio and write it ...

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Step-by-step explanation:

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3 years ago

The half life of a certain tranquilizer in the bloodstream is 36 hours. How long will it take for the drug to decay to 87% of th

Fudgin [204]

Finding the Decay constant(λ):

λ = 0.693 / (half-life)

we are given that the half-life is 36 hours

λ = 0.693 / (36)

λ = 0.01925 /hour

Time taken for 87% decay:

Since decay is first-order, we will use the formula:

$t = \frac{2.303}{decay constant}log(\frac{A_0}{A} )$

Where A₀ is the initial amount and A is the final amount

Let the initial amount be 100 mg,

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Final amount = 100*87/100 = 87 mg

Replacing the values in the equation:

$t = \frac{2.303}{0.01925}log(\frac{100}{87} )$

$t = \frac{2.303}{0.01925}*0.06$

t = 7.18 hours

We used 'hours' as the unit because the unit of the decay constant is '/hour'

Therefore, the drug will decay to 87% of initial dosage after 7.18 hours

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3 years ago