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The rectangle ABCD is divided into 4 regions whose perimeters are indicated in the figure below,where X,Y,Z are distinct positive integers and X>Y .It is known that Z=\(\frac{Z+Y}{3}\)and W<6.Find X
The mean, median, and unique mode of the positive integers 3,4,5,6,7 and x are all equal. What is the value of x ?
toan quoc te nhaQuestion 1:There are two parallel lines in the figure. What is the value of x? Answer: x Question 2:ABC and RTS are similar triangles.The value of x is Question 3:If x0 and 5x+8+|3x|0 then xQuestion 4:I am a multiple of 70 between 400 and 600. My tens digit is odd. Who am I?Answer: Question 5:How many triples of integers (a,b,c) are there such that ? Answer: triples.Question 6:Each of the 37 students in the grade 8 at a school has one dog or one cat or both a dog and a cat. T...
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toan quoc te nha
Question 1:
There are two parallel lines in the figure. What is the value of x?
Answer: x =
Question 2:
ABC and RTS are similar triangles.
The value of x is
Question 3:
If x<0 and 5x+8+|3x|=0 then x=
Question 4:
I am a multiple of 70 between 400 and 600. My tens digit is odd. Who am I?
Answer:
Question 5:
How many triples of integers (a,b,c) are there such that
?
Answer: triples.
Question 6:
Each of the 37 students in the grade 8 at a school has one dog or one cat or both a dog and a cat. Twenty students have a dog and 24 students have a cat.
How many students have both a dog and a cat?
Answer: students.
Question 7:
The sum of 2 positive integer numbers is greater than their product if the smaller number is
Question 8:
How many different real numbers satisfy the following equation?
Answer:
Question 9:
The area of trapezoid ABCD is 180 .The altitude is 8 cm,AD is 10 cm,and BC is 17 cm.
What is AB,in centimeters?
Answer: cm.
Question 10:
There are 115 cars in a village of 26 families. Each family has either 4 or 5 cars.
How many families have 4 cars?
Answer: families.
In the figure, ABCD is a rectangle; E is the midpoint of AD; F is the midpoint of CD. What is the ratio between the area of the rectangle ABCD and the area of the triangle AEF?
Number 6 is written as sum of two positive integers in three different ways: $6=1+5=2+4=3+3.$ (order does NOT matter). That is, there are exactly three different pairs of positive integers that add to make six. How many pairs of positive integers that add to make 1000?
Find all pairs of positive integers (x;y) satisfy the equation: 1!+2!+3!+.......x!=y2
The positive value of x such that x/y=1/5 and xy=5 is ...
Find the largest 3-digit integer m such that when m is divided by 3, 7, 11 the remainders are 1, 3, and 8 respectively.
There are n different positive integers, each one not greater than 2020, with the property that the sum of any three of them is divisible by 39. Find the greatest possible value of n?