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Ierofanga [76]
3 years ago
15

Active ingredient of a pill comprises 45% of the pill mass. If a pill contains 325 mg of active ingredient,

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

Step-by-step explanation:

The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:

active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:

325 = .45m and divide by .45:

m = 722.2 mg

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The slope is -3

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Find the area of the following shape. Show work.
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The total area:

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3 years ago
When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
aleksandr82 [10.1K]

Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

The result is 120, so the equation is

x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

But we know that x is positive, so we only accept the solution x = 27

6 0
3 years ago
Evaluate the following expression. Round to the nearest hundredth when necessary.<br><br> 6³ - 18
SSSSS [86.1K]

Answer:

198

Step-by-step explanation:

Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198

8 0
3 years ago
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