Questions in mathematics

Questions in mathematics

[Jawaban] Eric paints 8 rooms in 3 days for $600. How much does he receive on average for a room?

[Jawaban] What is the percent of 14 out of 18?

[Jawaban] At a restaurant, the ratio of kids' meals sold to adult meals sold was 5:4. If there were 20 kids' meals sold, what is the combined total of kids' and adult meals sold?

[Jawaban] Jill has $9.96 in nickels, pennies, and dollar bills in her bank. If she has 12 more pennies than nickels and 5 fewer dollar bills than nickels, how many of each does she have? Show work.

[Jawaban] What three simpler multiplications can you use to find [tex]8 \times 242[/tex]?

[Jawaban] A teacher wants to give 3 markers to each of her 25 students. Markers come in packages of 8. How many packages of markers will the teacher need?

[Jawaban] Matt and Karen both attempted to solve the same math problem, but they arrived at different answers. Let's examine their work step-by-step to identify any errors and determine who, if either, is correct. Matt's Work: 1. \(6 - 4(3 - 5)^2 + 30 \div 5\) 2. \(6 - 4(-2)^2 + 30 \div 5\) 3. \(6 - 4(4) + 30 \div 5\) 4. \(6 - 16 + 30 \div 5\) 5. \(-10 + 30 \div 5\) 6. \(20 \div 5\) 7. Result: \(4\) Karen's Work: 1. \(6 - 4(3 - 5)^2 + 30 \div 5\) 2. \(6 - 4(-2)^2 + 30 \div 5\) 3. \(6 - 4(-4) + 30 \div 5\) 4. \(6 + 16 + 30 \div 5\) 5. \(6 + 16 + 6\) 6. \(22 + 6\) 7. Result: \(28\) Analysis: - Both Matt and Karen initially rewrite the expression correctly, substituting \( (3 - 5) \) with \(-2\). - In step 3, Matt calculates \((-2)^2\) as \(4\), which is correct. However, Karen incorrectly calculates \((-2)^2\) as \(-4\). - Matt proceeds with his calculation correctly by multiplying and following the order of operations, but Karen's incorrect calculation in step 3 leads to an incorrect result. Correct Solution: 1. Start with \(6 - 4(3 - 5)^2 + 30 \div 5\). 2. Substitute \(3 - 5\) with \(-2\): \(6 - 4(-2)^2 + 30 \div 5\). 3. Calculate \((-2)^2\) as \(4\): \(6 - 4(4) + 30 \div 5\). 4. Multiply: \(6 - 16 + 30 \div 5\). 5. Perform division: \(-10 + 6\). 6. Add to find the result: \(4\). Matt is correct, and the correct answer is \(4\). Karen made an error by calculating \((-2)^2\) incorrectly.

[Jawaban] A school's 430 square meter rooftop solar panel generates about 1,100 kWh of electricity each month. What might be the panel's dimensions? Use at least one dimension that is not a whole number.

[Jawaban] A student bought 34 pencils for school. If he sharpened 16 of the pencils before school, what is the ratio of unsharpened pencils to sharpened pencils?

[Jawaban] The center on the basketball team scored 19 of the team’s 98 points. What percent of the points did he score?