To divide 25 by 0.009, perform the calculation as follows:

= =

25,000 ÷ 9 = 2777.777

Rounding to the nearest option given:

• Option 1: 2777.7
• Option 2: 27.777
• Option 3: 0.36
• Option 4: 0.00036

The correct answer is option 1: 2777.7

To determine which of the given numbers is equivalent to ​, we simplify each option and compare it to ​:

​: Simplify ​ by finding the greatest common divisor (GCD) of 33 and 55, which is 11:

=

≠

1​: Convert the mixed number to an improper fraction:

1 = =

≠ ​

​: Simplify ​ by finding the GCD of 750 and 1000, which is 250:

=

=

​: Simplify ​ by finding the GCD of 130 and 60, which is 10:

=

≠ ​

The number equivalent to ​​ is ​.

To solve the expression 47.121+2.01−14.43, follow these steps:

Add 47.121 and 2.01:

47.121+2.01 = 49.131

Subtract 14.43 from 49.13:

49.131−14.43 = 34.701

So, the correct answer is:

34.701

To divide by ​, we multiply by the reciprocal of ​:

÷ = × ​

Now, perform the multiplication:

× =

Simplify the fraction ​:

The greatest common divisor (GCD) of 54 and 56 is 2, so:

​ =

Thus, the correct answer is:

​

So the correct choice is: ​

To determine how much medication the syringe contains, given that 16 ml is 20% less than the amount in the syringe, we can set up the following equation:

Let x be the amount of medication in the syringe. We know that 16 ml is 20% less than x:

16 = x − 0.2x

This simplifies to:

16=0.8x

Solving for x:

x =

Therefore, the syringe contains:

20.0 ml.

To find X in the equation 32=24%×X, we can set up the equation as follows:

32=0.24X

Solving for X:

X =

Now, let's calculate this:

X = 32 ÷ 0.24 =133.333

Therefore, X is approximately: 133.3

Convert each given option to a percentage and then compare:

86.2%: This is already in percentage form: 86.2%.

​: Convert to percentage by multiplying by 100:

×100=86.2%

8.62: Convert to percentage by multiplying by 100:

8.62×100=862%

86.2: Convert to percentage by multiplying by 100:

86.2×100=8620%

So, the correct option that is the same as 862% is: 8.62

To determine the percentage of patients who are not elderly men or young women, we first need to find the combined percentage of patients who are elderly men and young women.

1. Elderly men: 12 = 50%
2. Young women: 13 ≈ 33.3%

To find the total percentage of patients who are either elderly men or young women, we add these two percentages together:

50%+33.3% = 83.3%

The percentage of patients who are not elderly men or young women is:

100%−83.3%=16.7

Therefore, the correct answer is:16.7%

To solve the expression, Subtract 0.0035 from 1.679:

1.679 − 0.0035=1.6755

So, the correct answer is: 1.6755

To determine if the nurse has enough medication, we need to calculate the total amount of medication used and compare it to the one-ounce vial.

1. Morning Dose: ​ ounce
2. Afternoon Dose: ounce

First, find a common denominator to add these fractions. The least common multiple of 8 and 7 is 56.

Convert each fraction to have a denominator of 56:

• For ​:

= = ​

• For ​:

= = ​

​Add these fractions:

​ + =

So, the total amount of medication used is ​ ounce.

The vial contains 1 ounce. The amount of medication remaining in the vial is:

1− = − = ​

Since ounce is needed more to make up for the used amount, the nurse needs: ​ of an ounce more.

Therefore, the correct answer is:

No, the nurse needs ​ of an ounce more.