*If you're a mathematician, you ask yourself: What's the largest sofa you could possibly fit around the corner?*It doesn't have to be a rectangular sofa either, it can be any shape. Here are the specifics: the whole problem is in two dimensions, the corner is a 90-degree angle, and the width of the corridor is 1.

Here are five current problems in the field of mathematics that anyone can understand, but nobody has been able to solve. The problem is, the hallway turns and you have to fit your sofa around a corner.

But no one has ever been able to prove that for certain.

Parents and teachers can follow math-only-math to help their students to improve and polish their knowledge. Similarly after completing the 2nd week she will get $ (x 145) $ 145. Based on the cost, his profit one was 20% and his loss on the other was 20%. Income from $ 3500 at 4 % in one year = $ 3500 of 4 %. On a later trip he traveled 300 miles while going three times as fast. And times taken to covered a distance of 300 miles on his later trip = 300/3x hr. So we can clearly see that his new time compared with the old time was: twice as much. The ordered pair (0, 32) is an ordered pair of this function because 0°C is equivalent to 32°F, the freezing point of water. Write a formula that gives the length of x sports fields in feet.

Children can practice the worksheets of all the grades and on all the topics to increase their knowledge. = $ (x 145 145) = $ (x 290) So in this way end of every week her salary will increase by $ 145. The value of x x(x) = 2 2(2 × 2) = 2 2(4) = 2 8 = 10 Answer: (a) 3. On the sale of the pipes, he: (a) broke even, (b) lost 4 cents, (c) gained 4 cents, (d) lost 10 cents, (e) gained 10 cents 20 % profit on $ 1.20 = $ 20/100 × 1.20 = $ 0.20 × 1.20 = $ 0.24 Similarly, 20 % loss on $ 1.20 = $ 20/100 × 1.20 = $ 0.20 × 1.20 = $ 0.24 Therefore, in one pipe his profit is $ 0.24 and in the other pipe his loss is $ 0.24. His new time compared with the old time was: (a) three times as much, (b) twice as much, (c) the same, (d) half as much, (e) a third as much Let speed of the 1st trip x miles / hr. The ordered pair (100, 212) is also an ordered pair of this function because 100°C is equivalent to 212° F, the boiling point of water. Then use this formula to determine the number of sports fields in 720 feet. A recipe calls for 2 1/2 cups and I want to make 1 1/2 recipes.

Nobody knows for sure how big it is, but we have some pretty big sofas that do work, so we know it has to be at least as big as them.

We also have some sofas that don't work, so it has to be smaller than those. The first three are the dimensions of a box, and G is the diagonal running from one of the top corners to the opposite bottom corner.

This has already been solved for a number of other shapes, such as triangles and rectangles.

But squares are tricky, and so far a formal proof has eluded mathematicians.

Math problem answers are solved here step-by-step to keep the explanation clear to the students. Total income from 4000 at 5 % and 3500 at 4 % = $ 200 $ 140 = $ 340. Remaining invest amount = $ 10000 - $ 7500 = $ 2500.

In Math-Only-Math you'll find abundant selection of all types of math questions for all the grades with the complete step-by-step solutions. So after completing the 1st week she will get $ (x 145). Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340. We know that, Interest = Principal × Rate × Time Interest = $ 160, Principal = $ 2500, Rate = r [we need to find the value of r], Time = 1 year. 160 = 2500r 160/2500 = 2500r/2500 [divide both sides by 2500] 0.064 = r r = 0.064 Change it to a percent by moving the decimal to the right two places r = 6.4 % Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year. Jones covered a distance of 50 miles on his first trip. So, times taken to covered a distance of 50 miles on his first trip = 50/x hr. Fahrenheit temperature F is a linear function of Celsius temperature C.

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