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Law Incorporation
2 months ago
9

A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f

rom 1 kg of aspirin?
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
4 0

Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

x kg - 81 mg.

1,000,000x = 81

x = \frac{81}{1,000,000}

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

1 tablet - 0.000081 kg

x tablets - 1 kg

0.000081x = 1

x = \frac{1}{0.000081}

Thus, x = 12,345 tablets.

Therefore, a total of 12,345 tablets can be manufactured from 1 kg of aspirin.

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11 Points Estimate the average by first rounding to the nearest 1,000: 1,000 2,300 2,600
Zina [12379]

Response:

Average = 2000

Step-by-step breakdown:

The numbers provided are:

1,000 2,300 2,600

To calculate the average:

Initially, round each number to the nearest 1000, then determine the average.

Solution:

1000 is already rounded, so it stays the same.

To round to the nearest thousand, check the hundred's digit.

  • If the hundred’s digit exceeds 5, the thousand’s digit increases by 1, and the hundred’s digit is set to 0.
  • If it’s less than 5, the thousand’s digit remains the same, changing the hundred’s digit to 0.

Thus, 2300 rounds to 2000.

and 2600 rounds to 3000.

Consequently, the numbers for averaging are 1000, 2000, 3000.

The formula for average is as follows:

Average = \dfrac{\text{Sum of all numbers}}{\text{Count of numbers}}

upon applying the formula:

Average = \dfrac{1000+2000+3000}{3}\\\Rightarrow Average = \dfrac{6000}{3}\\\Rightarrow \bold{Average = 2000}

So, the average after rounding to the nearest 1000 is 2000.

7 0
1 month ago
Ayesha works as a real estate agent. Her annual gross salary is $28,000. From this, she must pay 20% income tax on anything earn
Zina [12379]

Answer:

Step-by-step explanation:

Annual gross salary = $28000

Income tax = 20% applicable to earnings exceeding $15000

Thus, she has a taxable amount of $5000

Rent loan equals $140 monthly = $140 * 12= $1680 per year

Tax deductible annually would be 20% of $5000

20 / 100 * $5000 = $1000

Her total net income annually is equal to

Gross salary per annum - tax - loan =

($28000 - $1000 - $1680) = $25,320

Ayesha's take-home pay annually is $25,320.

8 0
2 months ago
the length of the swimming pool is 8 m longer than its width and the area is 105 m squared write in quadratic equation ​
babunello [11817]

Response:

Detailed explanation:

The length of the pool is longer than its width by 8 meters.

If we designate L as length and W as width, we can express this as:

L = 8 + W

We also know that the area amounts to 105 m squared.

Note:

Area of a Rectangle = Length x Width

Thus, 105 = (8 + W) x W

105 = 8w + w^2\\

To adjust the equation, subtract 105 from both sides:

w^2 + 8w - 105 = 0

5 0
3 months ago
There were 2.605 people at the basketball game. A reporter rounded this number to the nearest hundred from a newspaper article.
Svet_ta [12734]
Rounded to the nearest hundred, 2605 becomes 2600. If it had been 2650 or more, it would have rounded to 2700.
7 0
1 month ago
Henry has $21.50 to ride the trolley around San Francisco this week. It will cost him $0.50 every time he rides. Identify the de
PIT_PIT [12445]

Answer:

Dependent: Total cost of the ride.

Independent: Amount of rides.

Step-by-step explanation:

The independent variable represents what is adjusted, while the dependent variable signifies what alters as a result of that adjustment.

In this case, the total expense for rides fluctuates with any variation in the number of rides taken.

Therefore, the amount of rides is the independent variable whereas the total cost for rides is the dependent variable

5 0
1 month ago
Read 2 more answers
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