NURSE HUB TEST 3

Sarah is painting tiles for her art project. She has 8/9 of a liter of paint remaining. Each tile requires 1/18 of a liter of paint. How many tiles can she paint? 24 21 16 12

16 We can solve this problem by dividing the remaining paint (8/9 of a liter) by the amount needed for each tile (1/18). Step 1: Use this rule to divide fractions: a ÷ b/c = a × c/b All the rule above states is: to divide fractions, flip the second fraction and multiply. Note that any whole number written as a fraction is that number over 1, so we can express 18 as a fraction as 18/1. Step 2: Simplify. 8 x 18 = 144 and 9 x 1 = 9. Step 3: Reduce the fraction to its simplest form. The numerator (144) and denominator (9) are both divisible by 9. 144 ÷ 9 = 16 9 ÷ 9 = 1 So, our reduced fraction would be 16⁄1 Answer: 16

2/3 of the patients at a clinic reported having a headache today. Of those patients, 1/5 have taken ibuprofen. What fraction of the patients in the clinic have taken ibuprofen for a headache today? 7/15 2/15 13/15 1/15

2/15 1/5 of 2/3 of the patients have taken ibuprofen for a headache. Whenever we see "of", We can replace that with "times" and multiply. Step 1: Use this rule: a/b × c/d = ac/bd to multiply fractions. Step 2: Simplify. 1 × 2 = 2 and 5 × 3 = 15. Answer: 2/15

Convert to military time: 10:45:10 P.M. 1845:10 hours 2345:10 hours 2245:10 hours 2045:10 hours

2245:10 hours. Step 1: Since the time is P.M., we need to add 12 to obtain the hours. 10 + 12 = 22 Step 2: Write as military time. Note that military time has a colon (:)separating minutes and seconds only. 2245:10 hours.

Change 24.032 into a fraction and reduce to the lowest term. (Use a backslash "/" when entering your answer. e.g. 1/2)

24 4/125 Step 1: Split the number into its whole number and decimal components. 24.032 = 24 + .32 Step 2: Convert the decimal to a fraction. In order to do so, we first need to figure out which place the last digit is in. The last digit (2) is in the thousandths place, so our denominator will be 1000. The numerator is 32. Step 3: Simplify by reducing the fraction to its lowest term. We simplify fractions by dividing the numerator (32) and denominator (1000) by their greatest common factor. The greatest common factor of 32 and 1000 is 8. 32 ÷ 8 = 4 1000 ÷ 8 = 125 so we now have:

Evaluate the expression (x² − xy + yz) if x = 3, y = −2, and z = −5 -25 25 -20 20

25 Step 1: Substitute the numbers into the given expression. x = 3, y = −2, and z = −5 x² − xy + yz 3² − (3)(−2) + (−2)(−5) Step 2: Simplify following PEMDAS: Parentheses and Exponents. There is nothing to simplify inside of parentheses but we can simplify 3² to 9. 3² − (3)(−2) + (−2)(−5) 9 − (3)(−2) + (−2)(−5) Multiplication and Division. There is nothing to divide but we have two instances of multiplication to simplify. 9 − (3)(−2) + (−2)(−5) 9 − (−6) + 10 Addition and Subtraction. We now simplify addition and subtraction from left to right. Remember that subtracting a negative number is the same as adding a positive number. 9 − (−6) + 10 15 + 10 25 Answer: 25

Solve for y: 7y − 5 = 2y + 10 3 10 12 15

3 7y − 5 = 2y + 10 Step 1: Simplify by adding 5 to both sides of the equation. 7y − 5 + 5 = 2y + 10 + 5 7y = 2y + 15 Step 2: Get the variables on the same side of the equation by subtracting 2y from both sides. 7y − 2y = 2y − 2y + 15 5y = 15 y = 3 Answer: 3

Change 0.03 into a fraction and reduce to the lowest term. (Use a backslash "/" when entering your answer. e.g. 1/2)

3/100 Step 1: Convert the decimal to a fraction. In order to do so, we first need to figure out which place the last digit is in. The last digit (3) is in the hundredths place, so our denominator will be 100. The numerator is 3. 3/100 We cannot simplify this fraction any further, so this is our answer. Answer: 3/100

How many centimeters are in 45 meters? 4,500 450 0.45 4.5

4,500 There are 100 centimeters in 1 meter. To get how many centimeters are in 45 meters, we simply multiply 100 centimeters by 45 meters: Answer: 4,500

How many inches are in 12.7 centimeters? 3.33 4 2.54 5

5 There are 2.54 centimeters in 1 inch. To get how many inches are in 12.7 centimeters, we multiply 12.7 cm by 1 in⁄2.54 cm inches. 12.7 cm × 1 in⁄2.54 cm = 5 in Here are some other metric length conversions to remember: kilometer = 1,000 meters meter = 100 centimeters 1 centimeter = 10 millimeters 2.54 centimeters = 1 inch NurseHub Hint: In dimensional analysis, the unit that you want to convert to goes on the top of the fraction. The unit you want to convert from goes on the bottom.

How many milliliters are in 7 liters? 1,400 70,000 7,000 14,000

7,000 There are 1,000 milliliters in 1 liter. To get how many milliliters are in 7 liters, we simply multiply 1000 milliliters by 7 liters. 7 L × 1000 ml/1 L = 7000 ml NurseHub Hint: In dimensional analysis, the unit that you want to convert to goes on the top of the fraction. The unit you want to convert from goes on the bottom.

A patient is placed on a clear fluid diet. Today, the patient consumed the following: 1 quart of water 2 cups of coffee 1 pint of soup 8-oz glass of orange juice At the end of the day, the patient's drainage bag indicates 1,300 ml. Calculate the deficit between the intake and output of fluid in ml. (Enter numerical values only)

860 To solve, we first convert the patient's intake into ml. Then, we will subtract the output from that result to get the deficit in ml. Here are the measurement conversions we will need to know: 1 quart = 2 pints 1 pint = 2 cups 8 oz = 1 cup 30 ml = 1 oz Step 1: Convert the patient's intake into ml: Step 2: Add all of the fluid input in ml. 960 + 480 + 480 + 240 = 2,160 Step 3: Subtract the patient's output (1,300 ml) from their input (2,160). 2,160 - 1,300 = 860 ml Answer: 860 NurseHub Hint: In dimensional analysis, the unit that you want to convert to goes on the top of the fraction. The unit you want to convert from goes on the bottom.

A patient is required to consume 2 pints of water immediately before a pelvic ultrasound procedure. How much water does the patient need to drink in milliliters? 32 64 840 960

960 We can solve this problem using dimensional analysis. Here are the measurement conversions we will need to know: 1 pint = 2 cups 1 cup = 8 ounces 1 ounce = 30 ml Step 1: We know that 1 pint equals 2 cups, so 2 pints must equal 4 cups. Step 2: 1 cup equals 8 ounces, so 4 cups equals 32 ounces Step 3: 1 ounce equals 30 ml, so 32 ounces equals 960 ml. NurseHub Hint: In dimensional analysis, the unit that you want to convert to goes on the top of the fraction. The unit you want to convert from goes on the bottom.

What number in Arabic numerals is Roman numeral MMDCCLXI? (Enter numeric value only.) _________

The Arabic numeral conversion for the number MMDCCLXI: C = 100 (CC = 200) M = 1000 (MM = 2000) D = 500 L = 50 XI = 11 2000 + 500 + 200 + 50 + 11 = 2761 Answer: 2761 NurseHub Hint: Here are a couple of quick rules to help you when it comes to Roman numerals: You cannot have more than three of the same symbols in a row. (You will never see XXXX or DDDD.) Add smaller symbol values that are placed after large symbol values. (XI = 10 + 1 = 11.) Subtract smaller symbol values that are placed before large symbols values. (IX = 10 - 1 = 9.) And here are some symbols you should memorize: I = 1 V = 5 X = 10 L = 50 C = 100 D = 500 M = 1,000

What temperature in Celsius is 54°Fahrenheit (Enter numerical values only. If rounding is necessary round off to the nearest whole number.)

Use the following formula to convert temperature from °F to °C: Step 2: Substitute °F with the value we are converting from. Step 3: Simplify inside the parentheses. 54 - 32 = 22 Step 4: Simplify. 22 × 5/9 = 12.22 Step 5: Round to the nearest whole number. 12.22 → 12 Answer: 12

Evaluate the expression (x − 5xy)(7 + yz) if x = 1, y = −3, and z = 4. 60 −60 −80 80

−80 Step 1: Substitute the numbers into the given expression. x = 1, y = −3, and z = 4 (x − 5xy)(7 + yz) (1 − 5 × 1 × −3)(7 + −3 × 4) Step 2: Simplify following PEMDAS: Parentheses and Exponents. There are no exponents, but we can simplify inside the two sets of parentheses. (1 − 5 × 1 × −3)(7 + −3 × 4) (1 − −15)(7 + −12) (16)(−5) Multiplication and Division. We can now multiply 16 and −5. (16)(−5) −80 Answer: −80