Math test 2 Nurse hub

Solve for g: (3g − 10)/4 = 5 -10 10 -8 8

(3g − 10)/4 = 5 Step 1: Multiply both sides of the equation by 4. (3g − 10)/4 × 4 = 5 × 4 3g − 10 = 20 Step 2: Add 10 to both sides. 3g − 10 + 10 = 20 + 10 3g = 30 Step 3: Divide both sides by 3. 3g ÷ 3 = 30 ÷ 3 g = 10 Answer: 10

A patient's urinary drainage bag denotes a total of 480 milliliters of fluid. How many pints of clear fluids must the patient drink in order to replenish their fluid output? (Enter numerical values only)

1 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: 30 milliliters equals 1 ounce, so 480 milliliters equals 16 ounces. Step 2: 8 ounces equals 1 cup, so 16 ounces equals 2 cups. Step 3: Two cups equals 1 pint, which is our answer. Answer: 1 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.

In March, a fried seafood shack used 4 1/3 liters of fry oil. In April they used 2/5 of the amount they used in March. How many liters of fry oil did the fried seafood shack use in April? 3 11/15 1 11/15 2 11/15 4 11/15

1 11/15 We can solve this problem by multiplying 4 1/3 (oil used in March) by 2/5. Step 1: Convert 4 1/3 to an improper fraction to make multiplication easier. Use the rule a b/c = (ac + b)/c to convert a mixed number to an improper fraction. In other words, you multiply the denominator (bottom number) by the whole number and then add the numerator. Put that number over the denominator to create the improper fraction. Step 2: Simplify. 4 x 3 + 1 = 13. Step 3: Use this rule:a/b × c/d = ac/bd to multiply fractions. Step 4: Simplify. 13 x 2 = 26 and 3 x 5 = 15.

11⁄14 + 2⁄7 + 13⁄28 = 26⁄49 1 28⁄43 1 15⁄28 13⁄21

1 15⁄28

Subtract: 6/8 - 2/3 = 1/12 1/13 7/12 5/12

1/12 Step 1: Find the Least Common Denominator (LCD). There are two ways we can do this: Method 1: Find the first common multiple. List out all multiples of each denominator and find the first common one. Multiples of 8: 8, 16, 24... Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24... Therefore, LCD is 24. Method 2: Prime Factors. The LCD will be the product of the largest multiple of each prime that appears on at least one list. Prime factors of 8: 2, 2, 2 Prime factors of 3: 3 So, the LCD is 2 x 2 x 2 x 3 = 24

Subtract: 3/2 - 5/4 =

1/4 Step 1: Find the Least Common Denominator (LCD). There are two ways we can do this: Method 1: Find the first common multiple. List out all multiples of each denominator and find the first common one. Multiples of 2: 2, 4, 6... Multiples of 4: 4, 8, 12... Therefore, LCD is 4. Method 2: Prime Fa

Cynthia read 600 pages this month. Her goal is to read 15% more pages next month. If Cynthia meets her goal, how many pages will she read in all during the two-month period? 1260 1250 1290 1200

1290 Cynthia's goal is to read 15% more pages next month, so she will read 100% + 15% = 115% as many pages. So, we have to answer, what is 115% of 600? After finding the number of pages for next month, we can solve by adding it to the number of pages she read this month (600). Step 1: Use the percent formula to find the number of minutes for next month. The percent formula is below: We are looking for the part out of the whole (600), so that is where we will put x. Step 2: Cross multiply. Step 3: Simplify the right side of the equation. 115 x 600 = 69000 Step 4: Simplify by dividing both sides of the equation by 100. Step 5: Add the 690 pages she will read next month to the 600 pages she read this month to get our two-month total: 690 + 600 = 1290 Answer: 1290 pages.

Add : 4 3/5 + 9 3/4 = 14 7/20 13 7/20 14 7/10 13 7/10

14 7/20 Step 1: Convert 4 3/5 and 9 3/4 to improper fractions to make subtraction easier. Use the rule a b/c = ac + b/c Step 2: Simplify: Step 3: Find the Least Common Denominator (LCD). There are two ways we can do this: Method 1: Find the first common multiple. List out all multiples of each denominator and find the first common one. Multiples of 5: 5, 10, 15, 20... Multiples of 4: 4, 8, 12, 16, 20... Therefore, the LCD is 20.

When Brian had one cat, he used 1 1/7 cans of cat food each day. After Brian adopted a second cat, he began using 3 1/3 cans of cat food each day. How much extra food is needed to feed the second cat? 2 11/21 2 5/21 2 10/21 2 4/21

2 4/21 This problem can be solved by subtracting the cat food required for the first cat (1 1/7 cans) from the new amount Brian goes through each day ( 3 1/3 cans). Step 1: Convert the mixed fraction to improper one by using the rule a b/c = ac + b/c. Step 2: Subtract (10/3 - 8/7).

6/9 + 11/6 + 5/18 = 2 5/9 2 1/9 2 4/5 2 7/9

2 7/9 Step 1: Find the Least Common Denominator (LCD). There are two ways we can do this: Method 1: Find the first common multiple List out all multiples of each denominator and find the first common one. Multiples of 9: 9, 18, 27... Multiples of 6: 6, 12, 18... Multiples of 18: 18, 36... Therefore, the LCD is 18.

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? (Enter numerical values only)

28 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. 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.

Change 30.24 into a fraction and reduce to the lowest term. (Use a backslash "/" when entering your answer. e.g. 1/2)

30 6/25 Step 1: Split the number into its whole number and decimal components. 30.24 = 30 + .24 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 (4) is in the hundredths place, so our denominator will be 100. The numerator is 24. Step 3: Simplify by reducing the fraction to its lowest term. 24 and 100 can both be divided by 4. Answer: 30 6/25

3 1⁄4 × 1 2⁄3 = 3 1⁄6 5 5⁄12 5 19⁄20 3 3⁄7

5 5⁄12 Step 1: Convert 3 1⁄4 and 1 2⁄3 to improper fractions to make multiplication easier. Use the rule a b/c = (ac + b)/c to convert a mixed number to an improper fraction. In words, you multiply the denominator (bottom number) by the whole number and then add the numerator. Put that number over the denominator to create the improper fraction. Step 2: Simplify: Step 3: Use this rule: a/b × c/d = ac/bd to multiply fractions.

What is 35% of 150? 50.75 53.5 52.5 50.75

52.5 Step 1: Rewrite the problem using the percent formula. The percent formula is below: We are looking for the part out of the whole (150), so that is where we will put x. Step 2: Cross multiply. Step 3: Simplify the right side of the equation. 35 x 150 = 5250. Step 4: Simplify by dividing both sides of the equation by 100. Answer: 52.5 35% → 0.35 0.35 × 150 = 52.5

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

68 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

Solve for m: 9m⁄2 = 6m −12 8 6 4 2

9m⁄2 = 6m − 12 Step 1: Simplify by multiplying both sides of the equation by 2. 9m⁄2 × 2 = (6m −12) × 2 9m = 12m − 24 Step 2: Get the variables on the same side of the equation by subtracting 12m from both sides. 9m − 12m = 12m − 12m − 24 −3m = − 24 Step 3: Divide both sides of the equation by −3. −3m ÷ −3 = − 24 ÷ −3 m = 8 Answer: 8 NurseHub Hint: When dividing two negative numbers the sign of the quotient will be positive: − 24 ÷ −3 = 8

Evaluate the expression (m − n)(3m + n²) + 5mn if m = 10 and n = 3. 270 8,673 273 423

Step 1: Substitute the numbers into the given expression. m = 10 and n = 3 (m − n)(3m + n²) + 5mn (10 − 3)(3 • 10 + 3²) + 5(10)(3) Step 2: Simplify following the order of operations (PEMDAS): Parentheses and Exponents (10 − 3)(3 • 10 + 3²) + 5(10)(3) (10 − 3)(3 • 10 + 9) + 5(10)(3) (10 − 3)(30 + 9) + 5(10)(3) (7)(39) + 5(10)(3) Multiplication and Division (7)(39) + 5(10)(3) 273 + 150 Addition and Subtraction 273 + 150 = 423 Answer: 423

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

The Arabic numeral conversion for the number MDCCX: M = 1,000 D = 500 C = 100 (CC = 200) X = 10 1,000 + 500 + 200 + 10 = 1710 Answer: 1710 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