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Ierofanga [76]
2 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]2 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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Y is directly proportional to X
Zarrin [17]

y = kx

30 = 6k

k = 5

a) y = 5x

y = 5 × 12

b) y = 60

3 0
2 years ago
Find the coordinates of the point 7/10 of the way from A to B. a=(-3,-6) b=(12,4)
Artemon [7]

Answer:

The coordinates of M are x = \frac{15}{2} and y = 1.

Step-by-step explanation:

Let be A = (-3,-6) and B = (12, 4) endpoints of segment AB and M a point located 7/10 the way from A to B. Vectorially, we get this formula:

\overrightarrow {AM} = \frac{7}{10}\cdot \overrightarrow {AB}

\vec M - \vec A = \frac{7}{10}\cdot (\vec B - \vec A)

By Linear Algebra we get the location of M:

\vec M = \vec A + \frac{7}{10}\cdot (\vec B - \vec A)

\vec M = \vec A +\frac{7}{10}\cdot \vec B - \frac{7}{10}\cdot \vec A

\vec M = \frac{3}{10}\cdot \vec A + \frac{7}{10}\cdot  \vec B

If we know that \vec A = (-3,-6) and \vec B = (12, 4), then:

\vec M = \frac{3}{10}\cdot (-3,-6)+\frac{7}{10}\cdot (12,4)

\vec M = \left(-\frac{9}{10},-\frac{9}{5}  \right)+\left(\frac{42}{5} ,\frac{14}{5} \right)

\vec M =\left(-\frac{9}{10}+\frac{42}{5} ,-\frac{9}{5}+\frac{14}{5}   \right)

\vec M = \left(\frac{15}{2} ,1\right)

The coordinates of M are x = \frac{15}{2} and y = 1.

6 0
3 years ago
Instructions: Find the missing side of the triangle.<br> 24 and 7
ANTONII [103]
We can use the Pythagorean theorem to solve this. The Pythagorean theorem is a^2 + b^2 = c^2. We already have a and b, we need to find c. 24^2 + 7^2 is 625. Then, we need to find the square root of 625 to find c. The answer is 25. x = 25.
5 0
3 years ago
I need help on 21 . Please
kupik [55]

Answer:

Air travels 6,920 meters in 20 seconds.

Step-by-step explanation:

If in one second air travels 346 meters, and you want to find out how many meters air travels in 20 seconds, then just multiply 346 by 20.

4 0
3 years ago
The donut shop is 3 times as likely to sell a glazed donut as an apple donut . If the shop sells 231 glazed donuts, how many don
Vedmedyk [2.9K]

Answer

the number of  donuts sold is: 693

Step-by-step explanation:

i get this answer by taking:

231 x 3 = and that equal 693. this is the number  of donuts sold.

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3 years ago
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