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Ready4

A square patch from a quilt has a square interior surrounded by a border of uniform width. If the ratio of the area of the interior of the patch to the area of its border is 100 to 44, which of the following could be the width, in centimeters, of the border?

  I.

 II.

III.

Ready4

If  and  are positive, is  ?

(1) 

(2) 

Ready4

If n is an integer and <font color='#FE8080'>4</font><n<10, what is the value of n?

(1) n is a factor of .

(2) n is a factor of .

If m denotes a number to the left of 0 on the number line such that $$m^{4}$$ is less than$$\frac{1}{81}$$ , then the the reciprocal of $$m^{2}$$ must be
PREP07 Test 2 If K is a positive three-digit integer, what is the hundreds digit of K ? (1) The hundreds digit of K + 150 is 4. (2) The tens digit of K + 25 is 7.
PREP07 Test 1 What is the total value of Company H's stock?(1) Investor P owns 1/4 of the shares of Company H's total stock.(2) The total value of Investor Q's shares of Company H's stock is $16,000.
PREP07 Test 2 In 1999 Company X's gross profit was what percent of its revenue?(1) In 1999 Company X's gross profit was 1/3 of its expenses.(2) In 1999 Company X's expenses were 3/4 of its revenue.
OG19-数学分册 If a and b are positive integers, what is the value of the product ab? (1) The least common multiple of a and b is 48. (2) The greatest common factor of a and b is 4.
300难题 If s is an integer, is 24 a divisor of s ? 1.Each of the numbers 3 and 8 is a divisor of s. 2.Each of the numbers 4 and 6 is a divisor of s.
181215 It takes 4 mins for ab to complete 10000 tasks together. It takes 3 minutes for abc to complete the same task together. How long does it take for c to complete the same task alone?
If Henry were to add 5 gallons of water to a tank that is already $$\frac3 4$$ full of water, the tank would be $$\frac7 8$$ full. How many gallons of water would the tank hold if it were full?
Magoosh When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises$$ 1\frac{1}{2}$$ inches. In total, how many marbles must be added to the aquarium to raise the water $$ 2\frac{3}{4}$$ inches?
Ready4

If two 2-digit positive integers have their respective tens digits exchanged, the difference between the pair of integers changes by 4. What is the greatest possible difference between the original pair of integers?

Ready4

There are 12 vehicles in a parking lot, of which 3 are trucks and 9 are cars. How many possible selections of 4 vehicles from the parking lot contain at least one truck and at least one car?

300难题 Let S be the set of all positive integers having at most 4 digits and such that each of the digits is 0 or 1. What is the greatest prime factor of the sum of all the numbers in S ?
190310 A positive integer x is less than 50. The remainder of x divided by 7 is 1. x=?
1: The remainder of x divided by 9 is 7.
2: The remainder of x divided by 4 is 3.
Ready4

The number of visible stars in the night sky, , can be estimated by the formula , where  is the number of stars counted through a tube with length , in centimeters, and a circular mouth of area , in square centimeters. Based on the formula, what is the estimated number of visible stars in the night sky if 240 stars are observed through a tube 10 feet long with a mouth of radius of 4 feet? (1 foot = 30.48 centimeters)

In the xy-plane, does the point (4, 12) lie on line k?(1)The point (1, 7) lies on line k.(2)The point (-2, 2) lies on line k.
A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?
PREP07 Test 1 A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x ?
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