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Coordinate Geometry

by swerve » Wed Dec 27, 2023 9:03 am

*Two lines represented by the equations \(y=x+1\) and \(y=2x+3\)...*

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Last post by swerve

Wed Dec 27, 2023 9:03 am

Wed Dec 27, 2023 9:03 am

Coordinate Geometry

by swerve » Wed Dec 27, 2023 8:44 am

*The straight lines \(3x - 4y + 4 = 0\) and \(6x - 8y - 7 = 0\) are...*

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Last post by swerve

Wed Dec 27, 2023 8:44 am

Wed Dec 27, 2023 8:44 am

In which of the following pairs are the two numbers reciprocals of one another?

by BTGmoderatorLU » Sun Dec 24, 2023 11:58 am

*In which of the following pairs are the two numbers reciprocals of...*

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Last post by BTGmoderatorLU

Sun Dec 24, 2023 11:58 am

Sun Dec 24, 2023 11:58 am

In a certain department store, the ratio of the number of full-time salespeople to the number of salespeople who are not

by BTGmoderatorLU » Sun Dec 24, 2023 11:41 am

*In a certain department store, the ratio of the number of full-time...*

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Last post by BTGmoderatorLU

Sun Dec 24, 2023 11:41 am

Sun Dec 24, 2023 11:41 am

A corporation triples its annual bonus to \(50\) of its employees. What percent of the employees’ new bonus is the

by AAPL » Sat Dec 23, 2023 8:18 am

*A corporation triples its annual bonus to \(50\) of its employees....*

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Last post by AAPL

Sat Dec 23, 2023 8:18 am

Sat Dec 23, 2023 8:18 am

John cleaned the windows in his house. After breakfast John cleaned \(20\%\) of the windows. After lunch he cleaned

by AAPL » Sat Dec 23, 2023 8:03 am

*John cleaned the windows in his house. After breakfast John cleaned...*

0

Last post by AAPL

Sat Dec 23, 2023 8:03 am

Sat Dec 23, 2023 8:03 am

Distance/Rate Problems

by swerve » Wed Dec 20, 2023 4:37 pm

*Adrian drove from Springfield to Greenville at a rate of \(100\)...*

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Last post by swerve

Wed Dec 20, 2023 4:37 pm

Wed Dec 20, 2023 4:37 pm

Distance/Rate Problems, Word Problems

by swerve » Wed Dec 20, 2023 4:15 pm

*On a \(20 \,\text{km}\) tunnel connecting two cities \(A\) and \(B\)...*

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Last post by swerve

Wed Dec 20, 2023 4:15 pm

Wed Dec 20, 2023 4:15 pm

At a gathering of \(30\) people, there are \(20\) people who all know each other and \(10\) people who know no one.

by BTGmoderatorLU » Fri Dec 01, 2023 9:29 am

*At a gathering of \(30\) people, there are \(20\) people who all know...*

1

Last post by adamarkin

Sun Dec 17, 2023 8:46 pm

Sun Dec 17, 2023 8:46 pm

Two trains for Jhansi leave from Delhi at \(10\) am and \(9.30\) am and travel at \(80 \text{ km/h}\) and

by BTGmoderatorLU » Sat Dec 16, 2023 6:34 am

*Two trains for Jhansi leave from Delhi at \(10\) am and \(9.30\) am...*

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Last post by BTGmoderatorLU

Sat Dec 16, 2023 6:34 am

Sat Dec 16, 2023 6:34 am

A person sees a train passing over \(2 \,\text{km}\) long bridge. The length of the train is half that of the bridge. If

by BTGmoderatorLU » Sat Dec 16, 2023 6:20 am

*A person sees a train passing over \(2 \,\text{km}\) long bridge. The...*

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Last post by BTGmoderatorLU

Sat Dec 16, 2023 6:20 am

Sat Dec 16, 2023 6:20 am

If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)

by BTGmoderatorLU » Sun Nov 26, 2023 10:15 am

*If \(x > 0,\) how many integer values of \((x, y)\) will satisfy...*

1

Last post by adamarkin

Fri Dec 15, 2023 7:33 pm

Fri Dec 15, 2023 7:33 pm

If the sum of the first \(n\) positive odd integers is \(n^2,\) what is the sum of all odd numbers from \(25\) to

by AAPL » Fri Dec 15, 2023 7:13 am

*If the sum of the first \(n\) positive odd integers is \(n^2,\) what...*

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Last post by AAPL

Fri Dec 15, 2023 7:13 am

Fri Dec 15, 2023 7:13 am

There are 13 hearts in a full deck of 52 cards. In a certain

by swerve » Thu Feb 07, 2019 10:01 am

*There are 13 hearts in a full deck of 52 cards. In a certain game,...*

4

Last post by adamarkin

Thu Dec 14, 2023 10:57 pm

Thu Dec 14, 2023 10:57 pm

Coordinate Geometry

by swerve » Wed Dec 13, 2023 10:12 am

*In the \((x,y)\) coordinate plane, at which \(y\)-value does the line...*

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Last post by swerve

Wed Dec 13, 2023 10:12 am

Wed Dec 13, 2023 10:12 am

Coordinate Geometry

by swerve » Wed Dec 13, 2023 9:49 am

*What is the slope of the line passing through the points \((-1,4)\)...*

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Last post by swerve

Wed Dec 13, 2023 9:49 am

Wed Dec 13, 2023 9:49 am

The relationship between quantities \(m\) and \(n\) is expressed by the equation \(11m = 5(n - 42).\) If the difference

by AAPL » Sun Dec 10, 2023 2:38 pm

*The relationship between quantities \(m\) and \(n\) is expressed by...*

0

Last post by AAPL

Sun Dec 10, 2023 2:38 pm

Sun Dec 10, 2023 2:38 pm

Yann will be \(x\) years old \(y\) years from now. How old was \(z\) years ago?

by swerve » Wed Nov 29, 2023 10:37 am

*Yann will be \(x\) years old \(y\) years from now. How old was \(z\)...*

1

Last post by geneing

Thu Dec 07, 2023 6:49 pm

Thu Dec 07, 2023 6:49 pm

Given that: \(4m+n=20;\) and \(|n|\leq 20.\) How many ordered pairs \((m,n)\) exist in which \(m\) and \(n\) both are

by swerve » Thu Dec 07, 2023 12:07 pm

*Given that: \(4m+n=20;\) and \(|n|\leq 20\) How many ordered pairs...*

0

Last post by swerve

Thu Dec 07, 2023 12:07 pm

Thu Dec 07, 2023 12:07 pm

What is the average (arithmetic mean) of all solutions to the equation \(x^3-2x^2-8x=0?\)

by AAPL » Wed Dec 06, 2023 5:55 pm

*What is the average (arithmetic mean) of all solutions to the...*

0

Last post by AAPL

Wed Dec 06, 2023 5:55 pm

Wed Dec 06, 2023 5:55 pm

Which one of the following must equal \(p + q,\) if \(x – y = p\) and \(2x + 3y = q?\)

by AAPL » Wed Dec 06, 2023 5:45 pm

*Which one of the following must equal \(p + q,\) if \(x - y = p\) and...*

0

Last post by AAPL

Wed Dec 06, 2023 5:45 pm

Wed Dec 06, 2023 5:45 pm

All the possible five-digit numbers are formed using only the digits \(4, 5\) and \(6.\) How many of them will have at

by BTGmoderatorLU » Fri Dec 01, 2023 9:13 am

*All possible five-digit numbers are formed using only the digits \(4,...*

0

Last post by BTGmoderatorLU

Fri Dec 01, 2023 9:13 am

Fri Dec 01, 2023 9:13 am

\(50\) people consume \(350\, \text{kg}\) of rice in \(30\) days. In how many days will \(35\) people consume

by AAPL » Thu Nov 30, 2023 9:34 am

*\(50\) people consume \(350\, \text{kg}\) of rice in \(30\) days. In...*

0

Last post by AAPL

Thu Nov 30, 2023 9:34 am

Thu Nov 30, 2023 9:34 am

Machine \(A\) can produce \(2000\) bolts in \(8\) hours, and machine \(B\) can produce the same number of bolts in \(2\)

by AAPL » Thu Nov 30, 2023 9:12 am

*Machine \(A\) can produce \(2000\) bolts in \(8\) hours, and machine...*

0

Last post by AAPL

Thu Nov 30, 2023 9:12 am

Thu Nov 30, 2023 9:12 am

During a day, a door-to-door brick salesman sold three fourths of his bricks for \(\$0.25\) each. If he had \(150\)

by swerve » Wed Nov 29, 2023 10:51 am

*During a day, a door-to-door brick salesman sold three fourths of his...*

0

Last post by swerve

Wed Nov 29, 2023 10:51 am

Wed Nov 29, 2023 10:51 am

If \(a, b\) are integers and \(|a-b|=8,\) which of the following is the smallest possible value of \(ab?\)

by BTGmoderatorLU » Sun Nov 26, 2023 9:58 am

*If \(a, b\) are integers and \(|a-b|=8,\) which of the following is...*

0

Last post by BTGmoderatorLU

Sun Nov 26, 2023 9:58 am

Sun Nov 26, 2023 9:58 am

A scientist has \(400\) units of a \(6\%\) phosphoric acid solution, and an unlimited supply of \(12\%\) phosphoric

by AAPL » Fri Nov 24, 2023 6:22 pm

*A scientist has \(400\) units of a \(6\%\) phosphoric acid solution,...*

0

Last post by AAPL

Fri Nov 24, 2023 6:22 pm

Fri Nov 24, 2023 6:22 pm

A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is \(3{:}2,\) and the ratio of

by AAPL » Fri Nov 24, 2023 6:07 pm

*A bottle contains a certain solution. In the bottled solution, the...*

0

Last post by AAPL

Fri Nov 24, 2023 6:07 pm

Fri Nov 24, 2023 6:07 pm

In the figure above, \(ABCO\) is a rectangle and the line that passes through points \(A\) and \(B\) is \(3y-2x-15=0.\)

by swerve » Wed Nov 22, 2023 11:26 am

*T6199.png In the figure above, \(ABCO\) is a rectangle and the line...*

0

Last post by swerve

Wed Nov 22, 2023 11:26 am

Wed Nov 22, 2023 11:26 am

Line \(L\) in the \(xy\)-plane contains points \(A\) and \(B\) with coordinates \((-4,5)\) and \((6,-1),\) respectively.

by swerve » Wed Nov 22, 2023 11:07 am

*Line \(L\) in the \(xy\)-plane contains points \(A\) and \(B\) with...*

0

Last post by swerve

Wed Nov 22, 2023 11:07 am

Wed Nov 22, 2023 11:07 am

If a sum triples in \(4\) years under simple interest, find the time that it would take to become \(5\) times itself at

by BTGmoderatorLU » Sun Nov 19, 2023 6:59 am

*If a sum triples in \(4\) years under simple interest, find the time...*

0

Last post by BTGmoderatorLU

Sun Nov 19, 2023 6:59 am

Sun Nov 19, 2023 6:59 am

If distinct numbers \(x, y, z\) and \(p\) are chosen from the numbers \(-2, 2, 1/2, -1/3,\) what is the largest possible

by BTGmoderatorLU » Sun Nov 19, 2023 6:38 am

*If distinct numbers \(x, y, z,\) and \(p\) are chosen from the...*

0

Last post by BTGmoderatorLU

Sun Nov 19, 2023 6:38 am

Sun Nov 19, 2023 6:38 am

In a series of six consecutive integers, the sum of the first three integers is \(93.\) What is the sum of the last

by AAPL » Wed Nov 15, 2023 3:44 pm

*In a series of six consecutive integers, the sum of the first three...*

0

Last post by AAPL

Wed Nov 15, 2023 3:44 pm

Wed Nov 15, 2023 3:44 pm

A seller of used cars has \(16\) cars to sell and each of his clients selected \(4\) cars that he liked most. If each

by AAPL » Wed Nov 15, 2023 3:28 pm

*A seller of used cars has \(16\) cars to sell and each of his clients...*

0

Last post by AAPL

Wed Nov 15, 2023 3:28 pm

Wed Nov 15, 2023 3:28 pm

If \(p\) is an integer such that \((-4)^{2p+6}=4^{9-p},\) then \(p=\)

by swerve » Sat Nov 11, 2023 1:12 pm

*If \(p\) is an integer such that \((-4)^{2p+6}=4^{9-p},\) then \(p=\)...*

0

Last post by swerve

Sat Nov 11, 2023 1:12 pm

Sat Nov 11, 2023 1:12 pm

If \(Z\) is a positive integer and \(192^5\) is a multiple of \(8^Z\), what is the largest possible value of \(Z?\)

by swerve » Sat Nov 11, 2023 12:50 pm

*If \(Z\) is a positive integer and \(192^5\) is a multiple of...*

0

Last post by swerve

Sat Nov 11, 2023 12:50 pm

Sat Nov 11, 2023 12:50 pm

Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in

by BTGmoderatorLU » Fri Nov 10, 2023 6:20 pm

*\(38 \,\,69 \,\,22 \,\,73 \,\,31 \,\,47 \,\,13 \,\,82\) Which of the...*

0

Last post by BTGmoderatorLU

Fri Nov 10, 2023 6:20 pm

Fri Nov 10, 2023 6:20 pm

If an object travels at five feet per second, how many feet does it travel in one hour?

by BTGmoderatorLU » Fri Nov 10, 2023 5:55 pm

*If an object travels at five feet per second, how many feet does it...*

0

Last post by BTGmoderatorLU

Fri Nov 10, 2023 5:55 pm

Fri Nov 10, 2023 5:55 pm

A rod of length \(30\) units is to be cut into \(P\) parts so that the magnitude of the product of the lengths of the

by AAPL » Tue Nov 07, 2023 4:42 pm

*A rod of length \(30\) units is to be cut into \(P\) parts so that...*

0

Last post by AAPL

Tue Nov 07, 2023 4:42 pm

Tue Nov 07, 2023 4:42 pm

Miss Peachtree has earned an average of \(\$4,200\) for the first eleven months of the year. If She justifies her

by swerve » Sun Nov 05, 2023 7:15 am

*Miss Peachtree has earned an average of \(\$4,200\) for the first...*

0

Last post by swerve

Sun Nov 05, 2023 7:15 am

Sun Nov 05, 2023 7:15 am

Johnny travels a total of one hour to and from school. On the way there he jogs at \(5\) miles per hour and on the

by AAPL » Sat Nov 04, 2023 10:55 am

*Johnny travels a total of one hour to and from school. On the way...*

0

Last post by AAPL

Sat Nov 04, 2023 10:55 am

Sat Nov 04, 2023 10:55 am

Stephanie, Regine, and Brian ran a \(20\) mile race. Stephanie and Regine's combined times exceeded Brian's time by

by AAPL » Sat Nov 04, 2023 10:46 am

*Stephanie, Regine, and Brian ran a \(20\) mile race. Stephanie and...*

0

Last post by AAPL

Sat Nov 04, 2023 10:46 am

Sat Nov 04, 2023 10:46 am

In a set of three numbers, the difference between the largest and the second largest numbers is added to the smallest

by swerve » Sun Oct 22, 2023 6:08 am

*In a set of three numbers, the difference between the largest and the...*

0

Last post by swerve

Sun Oct 22, 2023 6:08 am

Sun Oct 22, 2023 6:08 am

In the number line shown above, point \(P\) is midway between \(A\) and \(B\). Point \(Q\) is midway between \(C\) and

by swerve » Sun Oct 22, 2023 5:48 am

*2016-01-10_1932.png In the number line shown above, point \(P\) is...*

0

Last post by swerve

Sun Oct 22, 2023 5:48 am

Sun Oct 22, 2023 5:48 am

The population of a certain country increases at the rate of \(30,000\) people every month. The population of the

by BTGmoderatorLU » Sat Oct 21, 2023 11:16 am

*The population of a certain country increases at the rate of...*

0

Last post by BTGmoderatorLU

Sat Oct 21, 2023 11:16 am

Sat Oct 21, 2023 11:16 am

During a trip of \(200\) kilometres, Stella covers the first \(80\) kilometres at an average speed of \(x\) kilometres

by AAPL » Fri Oct 20, 2023 6:42 am

*During a trip of \(200\) kilometres, Stella covers the first \(80\)...*

0

Last post by AAPL

Fri Oct 20, 2023 6:42 am

Fri Oct 20, 2023 6:42 am

An airplane leaves city \(A\) to make a connection in city \(C\), before going on to city \(B\) (as shown in the map).

by AAPL » Fri Oct 20, 2023 6:22 am

*13-Mar19-3w.gif An airplane leaves city \(A\) to make a connection...*

0

Last post by AAPL

Fri Oct 20, 2023 6:22 am

Fri Oct 20, 2023 6:22 am

A family drove from home to a vacation destination \(100\) miles away, driving the first half of the distance at a

by swerve » Sat Oct 14, 2023 4:44 pm

*A family drove from home to a vacation destination \(100\) miles...*

0

Last post by swerve

Sat Oct 14, 2023 4:44 pm

Sat Oct 14, 2023 4:44 pm

When an object drops from a certain altitude, if the distance between it and the ground is \(H\) and the time it has

by BTGmoderatorLU » Thu Oct 12, 2023 7:48 am

*When an object drops from a certain altitude, if the distance between...*

0

Last post by BTGmoderatorLU

Thu Oct 12, 2023 7:48 am

Thu Oct 12, 2023 7:48 am

The sum of the first \(100\) positive integers is \(5,050.\) What is the of the first \(200\) positive integers?

by BTGmoderatorLU » Thu Oct 12, 2023 7:29 am

*The sum of the first \(100\) positive integers is \(5,050.\) What is...*

0

Last post by BTGmoderatorLU

Thu Oct 12, 2023 7:29 am

Thu Oct 12, 2023 7:29 am