The sum of Madison’s age and 3 times Harper’s age is 47 years. In 2 years Madison will be twice as old as Harper. How old is Harper?

In a sequence of five positive integers, each term after the first term is determined by multiplying the preceding term by 1.5. If the median of the five terms is 36, what is the mean of the five terms? Express your answer as a decimal to the nearest tenth.

How many squares can be formed on a 16-pin rectangular geoboard?

The pages in a book are numbered from 1 to 363. How many times does the digit 3 appear as
part of a page number of this book?

Working together, Tom and Dick can dig 3 holes in 6 hours. Knowing Tom digs twice as fast as Dick, how many hours would it take Tom, working alone, to dig 12 holes ?

A subway arrives at the station every 25 minutes. A train arrives at the station every 45 minutes. If the subway and the train each arrive at noon, at what time will they next arrive at the station together?  

Prove that: \(\dfrac{a\dfrac{1}{b}}{b\dfrac{1}{a}}=\dfrac{a}{b}\)

There are some problems in this page. Detective Conan (Trần Quốc Đạt) has created 2 more accounts: I love class 7a and Detective Conan for self-tick. Number of faults from this person is \(\approx50\) times (too much) so I suggested that Summer Clouds will have a solution for this. Thank you very much.

Detective Conan's nicknames: quocdat444 (Detective Conan) - quocdat4444 (Detective Conan) - tranquocdat (I love class 7a)

https://mathulike.com/profile/quocdat444

https://mathulike.com/profile/tranquocdat

https://mathulike.com/profile/quocdat4444

The manufacturer charges $7.68 for a case that contains 24 cans of orange soda. If the Minute Magic Corner Store wishes to make a profit of at least $4.40 per case of orange soda sold, what is the least amount the store should charge for a single can of orange soda?

The length, width and height of a rectangular prism are in the ratio 3:2:1, respectively. What is the length of the prism if it has a volume of 48 in\(^3\) ?

Each side of a regular hexagon measures 6 cm. What is the perimeter of the hexagon? 

A cookie recipe requires 4 cups of flour to make 5 dozen cookies. If Amy needs to make 15 dozen cookies, how many cups of flour will she need? 

An advertisement states that 4 out of 7 dentists recommend Minty Fresh Mouthwash. If 1421 dentists were surveyed, how many dentists recommended Minty Fresh Mouthwash?

Each face of a 5 × 5 × 5 cube is painted red. This cube is then cut into 125 unit cubes. How many of the unit cubes have no faces that are painted red?

 If it was 10:30 am 55 minutes ago, in how many minutes will it be noon?

A bowl contains 50 grapes of different colors. If 20% of the grapes in the bowl are red, how many grapes are not red?

How many odd numbers are there between 20 and 158?

Prove that:

\(\sqrt{15}\) is an irrational number.

\(5-\sqrt{2}\) is an irrational number.

(P/s: solve in 2 ways)

Notice: Now the website's republication is getting worse, Vũ Trung Dũng has created 7 new accounts for self-tick. But the most was that Math You Like pretended to be Phan Thanh Tinh and self-tick. This must be ended immediatly and I think that Summer Clouds must have a solution to these situations.

I had something to prove about this:

https://mathulike.com/users/phanthanhtinh (it is Math You Like)

Number of faults from these two accounts:

Math You Like: 15 (Self-tick)

Vũ Trung Dũng: 14 (Self-tick)

TOTAL: 29 from 2 accounts

That is my suggestion. If there are something wrong please comment and I'll answer.

Two numbers, x and y, each between 0 and 1, are multiplied. If the tenths digit of x is 1 and the tenths digit of y is 2, what is the greatest possible value of the hundredths digit of the product?