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iogann1982 [59]
3 years ago
10

A​ doctor's prescription calls for a daily intake containing 50 mg of vitamin C and 10 mg of vitamin D. Your pharmacy stocks two

compounds that can be​ used: one contains 80% vitamin C and 10% vitamin​ D, the other 40% vitamin C and 20% vitamin D. How many milligrams of each compound should be mixed to fill the​ prescription?
Mathematics
1 answer:
blagie [28]3 years ago
8 0
Setup
0.8x + 0.4y = 50
0.1x + 0.2y = 10 - Multiply by -2 and add

get
0.6x = 30
x = 50 mg compound A

.1 (50) + .2y = 10
5 + .2y = 10
.2y = 5
y = 25 mg compound B
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Median is 6 range is 9 mode is 6 and mean is 7
7 0
2 years ago
(100) points!!!! Help please
inysia [295]

Answer:

\displaystyle a_8=142,11\ mg

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

\displaystyle a_n=a_1r^{n-1}

where a_1 is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

\displaystyle a_n=275\ .\ 0.91^{n-1}

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

\displaystyle a_n=275\ .\ 0.91^{8-1}

\displaystyle a_n=275\ .\ 0.91^{7}

\boxed{\displaystyle a_8=142,11\ mg}

6 0
3 years ago
This is the example my teacher used. However, I still don't understand what makes the integers even or odd. I was hoping someone
kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>
  • It is NOT a multiple of 2.
  • When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>
  • It is a multiple of 2.
  • When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

  • With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.
<h2>With the x + 2, x + 4, etc:</h2>
  • An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

  • So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

x= 17\\x + 2 = ?\\(17) + 2 = 19

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

x=2\\x + 6 = ?\\(2) + 6= 8

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

6 0
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Which of the following represents a function?
zhuklara [117]
The fourth one since it will pass the vertical test.
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The booster club will sell raffle tickets to raise money for new band uniforms. The total cost of the uniforms is $16,272. Each
Zina [86]

Answer: 1,356 tickets

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12x÷12=16,272÷12

x=16,272÷12

x=1,356

I hope this is good enough:

7 0
2 years ago
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