Math Nurse Hub

7 gallons are equal to _____ ounces 8,960 112 56 896

896 128 oz = 1 gal

Oscar ordered food delivery for his family dinner. The total of the order was $122.19. If he was charged a 7% service fee and gave a 15% tip on the bill after the service fee, what was the final total of his order? $150.35 $125.86 $62.33 $144.74

$150.35

Ivy spends $5.85 for 3 pounds of fruit and $9.00 for 2.7 pounds of vegetables. Approximate the average cost per pound Ivy spent on the fruits and vegetables. $10 $6.60 $2.50 $5

$2.50

- 4 - 5(x - 3) + 5 - 5x - 2 -5 - 2x -5 + 16x - 5x + 16

- 5x + 16 - 4 - 5(x - 3) + 5 Note, -5 × x equals -5x and -5x -3 equals + 15. - 4 - 5x + 15 + 5 Step 2: Group Like TermsWe can now rearrange the expression where we combine our like terms. We can first sort using colors: - 4 - 5x + 15 + 5 Now we rearrange to group like terms together: - 5x - 4 + 15 + 5 Remember, you MUST include the sign that comes in front of each term. If there is no sign, assume it's a positive sign. Step 3: Combine Like TermsCombine the x-terms. There is only one in this expression, so there is no need to combine. - 5x Combine the constants: - 4 + 15 + 5= + 16 Step 4: Put All Sets of Simplified Terms Together - 5x + 16

855 m is equal to _______ km

0.855 855 m ÷ 1,000 km/m = 0.855 km

If 17 dollars is equivalent to 266 Egyptian Pounds, how many Pounds would you get with $121? 37.4 54,716.2 1,893.3 5,281.8

1,893.3

What is 15/8 as a decimal? 1.58 1.625 0.53 1.875

1.875

What is the largest number that still rounds to 154? 154.23 153.61 154.52 153.62

154.23

Max has 2.5 times the number of marbles that Jacob has. Jacob has 34 marbles. Steven has 0.2 times the number of marbles that Max has. How many marbles does Steven have

17

A soccer team with 16 players gets a donation of $7,296 from a small local business to share equally. Each of the team members agrees to donate $137 to a local charity, pay $117 towards transportation for the team, and to spend $32 on dinner. How much money will each player have left?

170

If two even numbers are added to an odd number and the result is multiplied by an odd number, which of the following could be the result? Please select all that apply. 193 110 175 62 78

193,175 Step 1: Remember Addition Rules for Odd/Even Numbers Firstly, we can look at the odd and even rules involving addition. Odd Number + Odd Number = Even Number Even Number + Even Number = Even Number Odd Number + Even Number = Odd Number Step 2: Try an Example Problem Or Interpret The Situation The situation above says we are adding two even numbers to an odd number and then multiplying the result by an odd number. Let's take this step by step. Even Integer + Even Integer = Even Integer (New Sum 1) Since two even integers added together got us an even integer, we can add this new even integer to the odd number. Even Integer (New Sum 1) + Odd Integer = Odd Integer(New Sum 2) Step 3: Multiply the Result from Step 2 by an Odd Number We can look at the odd and even rules involving multiplication. Odd Number × Odd Number = Odd Number Even Number × Even Number = Even Number Odd Number × Even Number = Even Number Odd Integer(New Sum 2) × Odd Integer = Odd Integer We expect the result to be an odd integer Step 4: Interpret the Information Since we know that our answer has to be an odd integer, which means a whole number ending in a 1, 3, 5, 7, or 9. Therefore, the correct answer choices that could potentially be the answer to this problem would be 175 and 193.

Solve 25.66 × 8.342

214.06

Write 0.932 as a fraction. 233/250 250/233 233/25 25/233

233/250

3(72 + 5) ÷ 6 - 3 26 23 24 49/3

24

The city's population has grown by 1/6 in 2020, and in 2021 it has grown by another 2/5 from 2020. If in 2019 the population was 155,880 people, what has it become in 2021? 72,744 254,604 25,980 181,860

254,604

What is the area of a circle with a radius of 9 in? (Use 3.14 for π) 56.52 in² 254.34 in² 85.46 in² 127.17 in²

254.34 in²

Carrie buys a can of paint from the local hardware store. The radius of the paint can is 4 inches and it is 11 inches tall. If the paint can is only one-half full, what is the volume of paint inside it? V = π × r² × h Use 3.14 for π. 376.8 in2 276.32 in3 552.64 in3 216.9112 in2

276.32 in3

Solve 1 3/10+ 2 5/8 4 3/40 3 3/16 3 4/9 3 37/40

3 37/40 Adding two mixed numbers we can add the whole parts and then the fractional parts. 1 3/10 + 2 5/8 = (1 + 2) + (3/10 + 5/8) Step 1: Add the Whole parts Together 1 + 2 = 3 Step 2: Find the Least Common Multiple of the denominatorsSince 10 and 8 are the denominators of the fractions, we will find the LCM of 10 and 8. Factors of:10: 10, 20, 30, 40, 508: 8, 16, 24, 32, 40 The least common multiple of 10 and 8 is 40. Step 3: Create equivalent fractions using the LCM as the new denominatorEach fraction will now have a denominator of 40. Let's start with 3/10 . Since 10 × 4 = 40, we have to multiply the numerator by the same number. 3/10 = (3×4)/(10×4)= 12/40 Let's create an equivalent fraction for 5/8 with 40 as the new denominator. Since 8 × 5 = 40, we will multiply the numerator by the same number. 5/8 = (5×5)/(8×5)= 25/40 Step 4: Add the fractions together (simplify or convert to a mixed number if necessary)Since our fractions now have the same denominator we can add them together. 12/40 + 25/40 = (12+25)/40 = 37/40 Step 5: Add the whole parts and the fractional parts. 3 + 37/40 = 3 37/40

Jessica is wrapping a gift in a rectangular box with gift wrapping paper for a birthday party. The box is 11 inches long, 8 inches wide, and 5 inches tall. How much gift wrapping paper will she need to wrap the box? 183 in² 440 in² 366 in² 150 in²

366 in² 11*8+11*5+8*5*2= 366

On a recent road trip, Orlando drove an unknown number of miles during his first week. He then drove fifteen more miles in his second week and twenty-five fewer miles in his third week when compared to the first week. Write an expression that represents the total number of miles that Orlando drove in the 3-week road trip. 3x - 40 3x - 10 3x + 10 3x + 40

3x - 10

92 pounds is equal to how many kilograms? Round to the nearest hundredth if necessary. 24.21 41.82 102.44 42.41

41.82 1 kilogram = 2.2 pounds

Solve 68.567 - 13 - 2.43 43.576 83.997 68.311 53.137

53.137

2(3x - 1) - 2(x + 5) = 12 0 6 4 5

6 In this problem, we are first going to remove the parentheses from the equation. To do this we must multiply the term in front of each parenthesis by each term inside its respective parenthesis. 2(3x - 1) - 2(x + 5) = 12 6x - 2 - 2x - 10 = 12 Step 2: Combine Any Like TermsNow we can rearrange the equation so that we can combine all whole numbers and all terms with the same variable. Also, remember to include the sign IN FRONT of each term. 6x - 2 - 2x - 10 = 12 If we rearrange, it becomes: 6x - 2x - 2 - 10 = 12 This simplifies to: 4x - 12 = 12 Step 3: Solve the EquationWhen we solve equations, we can start by applying the inverse of the constant term on both sides of the equation. The constant is the term with no variable attached to it.We see that 12 is being subtracted from 4x, the -12 is the constant term because there is no x attached, so we have to undo subtraction using addition. Therefore we are going to add 12 to both sides. 4x - 12 + 12 = 12 + 12 Which then becomes: 4x = 24 Now we can solve:Since 4 is being multiplied by x, we have to undo the multiplication using division. Therefore we are going to divide both sides by 4. (4x/4) = (24/4) This simplifies to: 1x = 6 Since 1x and x are the same thing, our final answer is: x = 6

School shirts cost $6.50 each and pants cost $12 each. Thomas has $64 for his school uniform. Write an inequality to find combinations for how many shirts and pants Thomas can buy. 6.50s + 12p ≥ 64 6.50s + 12p ≤ 64 6.50s + 12p > 64 6.50s + 12p < 64

6.50s + 12p ≤ 64

Convert 21.4 °C into °F. 66.92 °F 61.56 °F 70.52 °F 58.14 °F

70.52 °F (°C × 1.8) + 32 = °F

The scale on a blueprint for a house is 1.2 in : 6 yd. If one side of the house is 15 inches long on the blueprint, what is the actual length of the side of the house? 324 yd 75 in 75 yd 324 in

75 yd

An event coordinator has a budget of $680. If she spent $75 on balloons and $65 on invitations, what percent of her budget does she have left? 20.6% 79.4% 9.6% 86.7%

79.4%

3 5/8 × 2 2/5 = 6 1/4 8 7/10 7 9/16 10/87

8 7/10 3 5/8 = (3×8+5)/8 = 29/8 2 2/5 = (2×5+2)/5 = 12/5 3 5/8 × 2 2/5 now becomes 29/8 × 12/5 Step 2: Cross Simplify [If Applicable] and multiplyWhen we look at the fractions to cross simplify, we find that 12 and 8 have a common factor of 4. We can now reduce the fraction by 4. 29/8× 12/5= 29×(12÷4)/(8÷4)×5 = 29×3/2×5= 87/10 Step 3: Simplify [If Possible] and convert into a mixed numberConvert the improper fraction into a mixed number. 87/10 = 87 ÷ 10= 8 7/10

For 3 shifts, the worker collects 14 devices. He collected a batch of devices in 18 shifts. How many devices were there in this batch? 23 252 84 54

84 Step 1: Interpret the Problem and Set Up a ProportionIn this problem, we know that 14 devices were collected in 3 shifts. We are trying to find the number of devices that were collected over 18 shifts. When we set up the proportion, the units must match. Since we are dealing with devices per shift, the number of devices will be in the numerator and shifts will be in the denominator. What is missing is the number of devices. So we have: 14 devices/ 3 shifts = x devices/18 shift 14/3 = x/18 Step 2: Cross Multiply & Solve the EquationTo find the X, we multiply one denominator by the opposite numerator. 14 × 18 = 3 × x This gets simplified to: 252 = 3x Now we can solve for x: 252/3 = 3x/3252 ÷ 3 = 84 x = 84 There were 84 devices in the batch.

An emergency room patient's heart rate dropped 30% to 63 beats per minute. What was the patient's heart rate prior to the drop in beats per minute? 19 210 44 90

90 Calculating the patient's original heart rate before the drop requires some manipulation of the percentages. We need to consider that the original heart rate represents 100%. If the original heart rate represents 100% we must calculate how much of the original heart rate is remaining after a percent drop.Given the heart rate dropped by 30%, we know, 100% - 30% = 70% Therefore, the remaining heart rate percent is 70%. Step 2: Turn The Percent Into a DecimalWe never use percentages in our actual math problems, so we first must turn our percentages into a decimal.To turn a percentage into a decimal, we divide by 100, which is the same as moving the decimal point two spaces to the left. 70% = 70.%70.% ÷ 100 = .70 70% as a decimal is .70. Remember, zeros at the end of a number after a decimal do not add any value, so we can just write it as .70. .70 = .7 Step 3: Determine the Original Heart RateWe know 63= 70%, and that we are looking for the value that represents 100%. This means whatever 100% is, will be more than 63.Once you calculate the percent paid and turn that to a decimal, we can use the rule below to calculate the original price of an item by using division. Current Heart Rate ÷ Decimal = Original Heart Rate63 ÷ .7 = 90

Which of the following statements correctly describes the above information? Please select all that apply. The mean is equal to the median for this collection. There is no mode. The mean is greater than the median for this collection. The median is greater than the range for this collection. The range is less than half of the median for this collection.

There is no mode The median is greater than the range for this collection. The range is less than half of the median for this collection.

2x + 5y = 194x + 3y = 17 What are the values of x and y? x = 17 and y = -3 x = 2 and y = 3 x = 3 and y = 2 x = -3 and y = 17

x = 2 and y = 3

4x - 12 ≥ 6x + 2 x ≤ -7 x ≤ 7 x ≥ -7 x ≥ 7

x ≤ -7