math

Measurement conversions

1 pint = 2 cups 1 cup = 8 ounces 1 gallon = 4 quarts 1 ounce = 30 ml 1 quart = 2 pints

How many millimeters are in 50 inches?

1,270

How many centimeters are in a millimeter?

1/10

How many grams are in a kilogram?

1000

How many milliliters are in a liter?

1000

How many pounds are in a kilogram?

2.2

How many centimeters are in an inch?

2.54

How many inches are in 12.7 centimeters?

5

How many centimeters are in 30 inches?

76.2

Jason purchased 5 pounds of pasta and 15 ounces of cheese to make macaroni and cheese for a party. What is the total weight in ounces of the pasta and cheese combined? (1 pound = 16 ounces)

95

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?

960

Convert 20° Celsius to degrees Fahrenheit. (Enter numerical values only. If rounding is necessary, round to the nearest whole number.)

Step 1: Use the following formula to convert temperature from °C to °F: Step 2: Substitute °C with the value we are converting from. Step 3: Simplify inside the parentheses. 20 × 9/5 = 36. Step 4: Simplify. 36 + 32 = 68 Answer: 68

What temperature in Fahrenheit is 73°Celsius? (Enter numeric value only. If rounding is necessary, round to the nearest whole number.)

Step 1: Use the following formula to convert temperature from °C to °F: (°C × 9⁄5) + 32 = °F Step 2: Substitute °C with the value we are converting from. (73 × 9⁄5) + 32 = °F Step 3: Simplify inside the parentheses. 73 × 9⁄5 = 131.4. (131.4) + 32 = °F Step 4: Simplify. 131.4 + 32 = °F 163.4 = °F Step 5: Round to the nearest whole number. 163.4 → 163 Answer: 163

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

Step 1: 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

Convert 108°Fahrenheit to Celsius. (Enter numerical values only. If rounding is necessary round to the nearest whole number.)

Step 1: 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. 76 × 5/9 = 42.22 Step 5: Round to the nearest whole number. 42.22 → 42 Answer: 42

What temperature in Celsius is 78°Fahrenheit? (Enter numeric value only. If rounding is necessary, round to the nearest whole number.)

Step 1: 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. 78 - 32 = 46. Step 4: Simplify. 46 × 5/9 = 25.55 Step 5: Round to the nearest whole number. Answer: 26

What number in Arabic numerals is Roman numeral MMDCCLXI?

The Arabic numeral conversion for the number CCMMDLXI: C = 100 (CC = 200) M = 1000 (MM = 2000) D = 500 L = 50 XI = 11 200 + 2000 + 500 + 50 + 11 = 2761 Answer: 2761

How many milliliters are in 15 ounces?

There are 30 milliliters in 1 ounce. To get how many milliliters are in 15 ounces, we multiply 30 milliliters by 15 ounces. 15 ounces × 30 ml /1 ounce = 450 ml

A patient is placed on a clear fluid diet. Today, the patient consumed the following: 2 pints of water 1 cup of coffee 1 cup of soup At the end of the day, the patient's drainage bag indicated 650 ml. Calculate the deficit between the intake and output of fluid in ml. (Enter numerical values only)

To solve, we first convert the patient's fluid 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 pint = 2 cups 8 oz = 1 cup 30 ml = 1 oz Step 1: Convert the patient's intake into ml. 2pintsx 2 cupsx 8ozx30ml= 960 ml 1 cupx8oz x 30ml=240 ml 1cupx8ozx30ml=40 ml Step 2: Add all of the fluid input in ml. 960+240+240=1440 Step 3: Subtract the patient's output (650 ml) from their input (1,440). 1440-650=790

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)

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

A patient is placed on a clear fluid diet. Today, the patient consumed the following: 2 pints of water 2 cups of coffee 1 cup of soup 2 8-oz glasses of apple juice At the end of the day, the patient's drainage bag indicates 1,650 ml. Calculate the deficit between the intake and output of fluid in ml. (Enter numerical values only)

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. Step 1: Convert the patient's intake into ml: Step 2: Add all of the fluid input in ml. 960 + 480 + 240 + 480 = 2,160 Step 3: Subtract the patient's output (1,650 ml) from their input (2,160 ml). 2,160 - 1,650 = 510 Answer: 510

Diana decided to make a cake to surprise her mother. The recipe calls for 3.5 cups of sugar. How much sugar is required in ounces

We can solve this problem using dimensional analysis. Here are the measurement conversions we will need to know: 1 cup = 8 oz Step 1: 1 cup equals 8 ounces. So, 3.5 cups equal 28 ounces.

A vehicle requires 10 gallons of fuel to reach a certain destination, how many pints of fuel is required for that trip? (Enter numerical values only)

We can solve this problem using dimensional analysis. Here are the measurement conversions we will need to know: 1 gallon = 4 quarts 1 quart = 2 pints Step 1: 1 gallon equals 4 quarts. So, 10 gallons equal 40 quarts. Step 2: 1 quart equals 2 pints. So, 40 quarts equal 80 pints. Answer: 80

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

A labor and delivery nurse weighs a newborn baby at 3.5 kilograms. How much does the baby weigh in ounces?

You likely have not memorized how many kilograms are in an ounce, but we do know that 1 kilogram = 2.2 pounds and 1 pound = 16 ounces. This also means that we know the conversion factors to convert between the two systems and units. The conversion factor for switching between kilograms and ounces is 2.2 lb / 1 kg (which shows that for every 1 kilogram, we have 2.2 pounds). Similarly, the conversion factor for switching between ounces and pounds is 16 oz / 1 lb. First, we need to convert the kilograms to pounds, which we do by multiplying the number of kilograms by the conversion factor: 3.5 kg • 2.2 lb/1 kg → Remember that all whole numbers can be written as a fraction with "1" as the denominator. When multiplying a whole number by a fraction (especially in unit conversion problems), you can rewrite the whole number as a fraction in this way in order to make simplification easier. = 3.5 kg/1 • 2.2 lb/1 kg → Next, multiply the two fractions by multiplying the two numerators, then the two denominators. = 3.5 kg • 2.2 lb/1 • 1 kg → At this stage, you can also cancel out any units that are present in both the numerator and the denominator (basically, you're dividing a unit by itself, so they cancel out). = 3.5 kg • 2.2 lb/1 • 1 kg = 3.5 • 2.2 lb/1 = 7.7 lb/1 = 7.7 lb → Now, we need to convert the pounds to ounces, using the same method. 7.7 lb • 16 oz/1 lb → Remember that all whole numbers can be written as a fraction with "1" as the denominator. When multiplying a whole number by a fraction (especially in unit conversion problems), you can rewrite the whole number as a fraction in this way in order to make simplification easier. = 7.7 lb/1 • 16 oz/1 lb → Next, multiply the two fractions by multiplying the two numerators, then the two denominators. = 7.7 lb • 16 oz/1 • 1 lb → At this stage, you can also cancel out any units that are present in both the numerator and the denominator (basically, you're dividing a unit by itself, so they cancel out). = 7.7 lb • 16 oz/1 • 1 lb = 7.7 • 16 oz/1 = 123.2 oz/1 = 123.2 oz The weight of the baby in ounces is 123.2 oz.

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

he Arabic numeral conversion for the number LXXXV: L = 50 X = 10 (XXX = 30) V = 5 50 + 30 + 5 = 85 Answer: 85

length conversions

kilometer = 1,000 meters meter = 100 centimeters 1 centimeter = 10 millimeters 2.54 centimeters = 1 inch