To add the mixed numbers 6 3/4 and 8 1/6, first convert them to improper fractions. 6 3/4 becomes 27/4, and 8 1/6 becomes 49/6. When you add these fractions, you get 76/6, which simplifies to 12 & 2/3. Converting 12 & 2/3 back to a mixed number gives 14 & 11/12. Therefore, the correct sum of 6 3/4 + 8 1/6 is 14 & 11/12.
Select an answer to continue →
Question 2
How many cakes are needed to provide 24 servings for a class of 70 students and 3 staff members?
Your Answer: Option(s)
Correct Answer: Option(s) A
Rationale
To calculate the total number of servings needed, we add the number of students and staff members: 70 students + 3 staff members = 73 individuals. Next, we divide the total servings required by the servings per cake: 73 · 24 = 3 with a remainder of 1. Since each cake provides 24 servings, we need 4 cakes to accommodate 73 servings, ensuring there are enough servings for everyone in the class.
Select an answer to continue →
Question 3
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
Your Answer: Option(s)
Correct Answer: Option(s) A
Rationale
To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
Select an answer to continue →
Question 4
What is the temperature in Celsius when 98.6 degrees Fahrenheit is converted?
Your Answer: Option(s)
Correct Answer: Option(s) B
Rationale
To convert Fahrenheit to Celsius, you can use the formula: Celsius = (Fahrenheit - 32) x 5/9. Substituting 98.6 for Fahrenheit gives us: Celsius = (98.6 - 32) x 5/9 = 37 Celsius. Therefore, the correct answer is 37 Celsius. It is important to understand this conversion formula to accurately convert temperatures between the Fahrenheit and Celsius scales.
Select an answer to continue →
Question 5
A woman received a bottle of perfume as a present. The bottle contains 3/4 oz of perfume. How many milliliters is this?
Your Answer: Option(s)
Correct Answer: Option(s) C
Rationale
To convert ounces to milliliters, we know that 1 fluid ounce (oz) is approximately equal to 29.5735 milliliters (ml). Therefore, 3/4 oz of perfume is equal to (3/4) x 29.5735 ml. Calculating this gives us approximately 22.18 ml, which can be rounded to 22.5 ml. Hence, the correct answer is 22.5 ml. This conversion is essential in various fields, especially in industries where precise measurements are required, such as pharmaceuticals, chemistry, and cooking.
Select an answer to continue →
Free Preview Ended
You've seen the first 5 questions.
Subscribe to unlock the remaining 58 questions + full features.