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Mrrafil [7]
2 years ago
10

A pharmacist needs to combine a mixture for a patient. She uses 5 mg of antibiotic for 25 mg of the mixture. If the patient need

s 100 mg of the mixture, how much antibiotic should the pharmacist use?
20 mg
30 mg
80 mg
120 mg
500 mg
Mathematics
1 answer:
Kitty [74]2 years ago
8 0

Answer:

20 mg

Step-by-step explanation:

5/25 mg

multiply 25 by 4 to get 100 so also multiply 5 by 4 to get 20 mg of the antibiotic.

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Answer:

7 and 1/3

Step-by-step explanation:

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2 years ago
Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

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2 years ago
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Answer:

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Step-by-step explanation:

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