Questions in mathematics

Questions in mathematics

[Done] If \( y \, \mathbin{\Diamond} \, x = y^{2x} \) for all positive integers, then \( (3 \, \mathbin{\Diamond} \, 4) \, \mathbin{\Diamond} \, 2 = \)

[Done] What is the missing dimension of a parallelogram if \( h = 5 \frac{1}{4} \) feet and \( A = 12 \) feet\(^2\)?

[Done] Explain why $64,480 per year and $1,240 per week are equal rates.

[Done] What is the median of 37, 39, 40, 42, 42, 45, 48, 49, 51, 52?

[Done] Simplify the expression: \[ \frac{4a^2 + 4a}{a^2 - 25} \times \frac{a^2 - 5a}{8a} \]

[Done] A test has 20 questions worth 100 points. The test consists of true/false questions worth 3 points each and multiple-choice questions worth 11 points each. How many multiple-choice questions are on the test? A. 10 multiple-choice, 10 true/false B. 7 multiple-choice, 13 true/false C. 2 multiple-choice, 18 true/false D. 5 multiple-choice, 15 true/false

[Done] In a certain class, 40% of the students are girls, and 20% of the girls wear glasses. What percent of the children in the class are girls who wear glasses?

[Done] Only odd and I need explainations to

[Done] Is 4/6 less than 5/7 which one is greater

[Done] One gallon of fuel mixture contains antifreeze in the ratio of 5 parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture?