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How can De Moivre's theorem be described? What is the scope of this theorem? Give two examples for roots and two examples for powers.
There is no progression in number sentences from Grade 4 to Grade 6
35/5 + 13= 20
Find all x ∈ R that solve this equation: 123 = x · (2x · (3x − 3) − 2) + 100 + 20 + 3
The original rooster in a feedlot was 200 fewer than the hens, and then 50 hens came in a day. At this time, the hens' teaching capacity was twice that of the roosters. How many roosters and hens were in the farm?
5. There are two barrels of gasoline in the warehouse. There are 21 kilograms in barrel A and 5 kilograms in barrel B. After adding the same quality gasoline, the gasoline in barrel A is 3 times that in barrel B. Now there are two barrels A and B. How many kilograms of gasoline are in the barrel?
Xiao Ming and Xiao Hong originally had a total of 100 yuan. Xiao Ming now earns another 50 yuan, while Xiao Hong spent 30 yuan. At this time, Xiao Ming's money is exactly three times that of Xiao Hong. So how much does Xiao Ming and Xiao Hong have?
- The Pizza Place delivers to any location within a radius of 5 miles from the store for free. A delivery person drives 32 blocks north and then 45 blocks east to deliver a pizza. In this city, there are about 6 blocks per half mile.
- a. Should there be a charge for delivery? Explain. b. Describe two delivery situations that would
- result in about 5 miles.
The price of a schoolbag is 54 yuan, which is 6 times that of a pen. The price of a pen is 3 times that of an eraser. How much is an eraser?
The teaching volume of story books in the book corner is three times that of picture books. There are 18 more story books than picture books. How many story books are there in the book corner?
