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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?


  1. 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.
  2. a. Should there be a charge for delivery? Explain. b. Describe two delivery situations that would
  3. 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?


There are 600 students in the third grade, of which there are twice as many girls as boys. How many boys and girls are there in the third grade?


Teacher Li bought a total of 50 apples and oranges. If you buy 10 more oranges, the number of oranges will be twice that of apples. How many grass fruits and oranges did Teacher Li buy?


In a finite group ,show that the number of elements of order d is a.multiple of phi(d)



Fill in the following blanks to complete the statement using the word: Perspective, isometric, or exploded:


  1. The blank view is best used for determining the dimensions of the object.
  2. The blank view is best used for showing how the object will look once it has been built
  3. The blank view is best used for assembling the object.

If an electronics company wants to shrink the dimensions of a Tablet measuring 20cm wide by 25cm high by a scale factor of 2/5, what is the new width of the Tablet?

( recall that the scale factor is given by either model/original Or model:original.



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