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The value of the product of u and v is equal to twenty times the ratio of the value obtained by subtracting v from u to the value of v. If v equals 4,what is the value of u?
191031 It is given that: 2 / k + 4 / m = r / s, where r / s is the fraction in lowest term, Is s = km?
1. k and m are prime numbers
2. k and m have no common factors except 1.
OG18-数学分册 The product of 3,305 and the 1-digit integer x is a 5-digit integer. The units (ones) digit of the product is 5 and the hundreds digit is y. If A is the set of all possible values of x and B is the set of all possible values of y, then which of the following gives the members of A and B ?
The ratio of the number of boys to the number of girls in a certain school club is 3 : 4. If there are 5 more girls than boys in the club, how many girls are in the club?
In a 5-to-4 decision,the Supreme Court ruled that two upstate New York counties owed restitution to three tribes of Oneida Indians for the unlawful seizure of their ancestral lands in the eighteenth century.
PREP07 Test 1 In a certain game, the units of currency of three countries are the crown, the shield, and the pound, respectively. If 2 crowns equal 3 shields and 3 shields equal 4 pounds, how many crowns equal 18 pounds?
PREP07 Test 2 After a fisherman sold $$\frac{1}{2}$$ of the fish he had caught and gave away $$\frac{1}{2}$$ of the remaining fish, he had 4 fish left. What was the total number of fish he had caught?
Ready4

A line in the -coordinate plane passes through the points and . Does this line pass through point ?

(1) The coordinates of point are

(2) Point is equidistant from points and

Ready4

In the coordinate plane, point (x, y) lies on a circle with center at the origin. What is the value of x^{2} + y^{2}?

(1) The point (-<font color='#FE8080'>4</font>,-5) lies on the circle.

(2) The circle has radius \sqrt{41}.

 

OG12 If k, m, and t are positive integers and $$\frac k 6+\frac m 4=\frac t {12}$$, do t and 12 have a common factor greater than 1 ?(1)k is a multiple of 3.(2)m is a multiple of 3.
OG17 OG18 OG19 OG20 OG2022 If there are fewer than 8 zeros between the decimal point and the first nonzero digit in the decimal expansion of $$(\frac{t}{1000})^{4}$$, which of the following numbers could be the value of t?I. 3II. 5III. 9
OG18-数学分册 When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true?I. n is even.II. n is a multiple of 5.III. n is a factor of 20.
OG19 OG20 OG2022 The symbol $$\Delta$$ denotes one of the four arithmetic operations: subtraction, multiplication, or division. If 6 $$\Delta$$ 3 $$\le$$ 3, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=2
300难题 In rectangular region PQRS above, T is a point on side PS. If PS = 4, what is the area of region PQRS ? 1.△QTRis equilateral. 2.Segments PT and TS have equal length.
181215 There are two kinds of coins in the piggy bank, 30 cents and 24 cents. How many coins are there of each kind? Condition 1: All coins add up to 102 cents. Condition 2: There are 4 coins in the piggy bank.
OG17 If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?(1)The tens digit of k + 9 is 3.(2)The tens digit of k + 4 is 2.
How many different factors does the integer n have? (1) $${n}={a}^{4}{b}^{3}$$, where a and b are different positive prime numbers. (2) The only positive prime numbers that are factors of n are 5 and 7.
Ready4

Set contains five distinct positive integers . Is the mean of set greater than its median?

(1) The largest integer in set is

(2) The smallest integer in set is

OG17 OG18 At XYZ Inc., an employee receives a verbal warning upon accumulating at least 3 unexcused absences within any 365-day period and a written reprimand upon accumulating at least 4 such absences. For any single 8-hour workday, missing between 10 minutes and 2 hours of work counts as one-third of an absence, missing between 2 hours and 4 hours of work counts as half an absence, and missing more than 4 hours counts as a full absence. However, an employee may stay late to make up for up to 1 hour of an unexcused absence on the same day.The table contains descriptions of the unexcused absences of 5 employees of XYZ Inc. Assume that in each case the employee had no other unexcused absences and made up no other time. In the table, select a description of an employee who qualified for a verbal warning but not a written reprimand, and select a description of an employee who qualified for a written reprimand. Make only two selections, one in each column.
Magoosh On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6. If there are 60 juniors on the team, how many students in total are on the team?
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