Search found 12 matches
Re: During the 31-day month of May, a tuxedo shop rents
Remember that for consecutive integers, we can use the formula \(\frac{sum}{#\ of\ terms}=\ average\) From the problem, we know that the store sold a DIFFERENT number of tuxes each day and the max number of tuxes it sold was 55. So on the other days, it could have sold 54, 53, 52, 51, 50, etc tuxes....
- by quichopipe
Thu Jun 04, 2020 9:52 am- Forum: Problem Solving
- Topic: During the 31-day month of May, a tuxedo shop rents
- Replies: 5
- Views: 456
A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of the 7
Problem Solving
Re: A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of t
Let's fill the 2 positions in the technology team: We need to select 2 candidates from 6 candidates but both of them will have different positions so we must use permutation in this case 6P2 = 30 Now, let's fill the 3 positions in the HR team We need to select 3 candidates from 7 candidates but all ...
- by quichopipe
Wed Jun 03, 2020 2:36 pm- Forum: Problem Solving
- Topic: A company will select 2 of the 6 candidates available to work in 2 different positions in Technology team and 3 of the 7
- Replies: 2
- Views: 407
Re: If \(|A| > 19,\) which of the following could NOT be equal to \(A ?\)
The question is really asking...what number is less than 19 units away from 0.
Only 18 is less than 19 units from 0.
Another way to solve the problem, test every answer. Only one where |A| is not greater than 19 will be |18| since |18|=18<19
Answer choice C.
- by quichopipe
Wed Jun 03, 2020 2:29 pm- Forum: Problem Solving
- Topic: If \(|A| > 19,\) which of the following could NOT be equal to \(A ?\)
- Replies: 2
- Views: 323
Re: A college admissions officer predicts that 20 percent
20% of students will not attend; therefore 80% of students will attend. If A = total number of accepted students and x = total number of enrolled students, we can write A*.8=x Solve for A A = \(\frac{x}{.8}\) A = \(\frac{x}{\frac{5}{4}}\) Rewrite to get rid of the .8 in the bottom A = \(\frac{5}{4}x...
- by quichopipe
Wed Jun 03, 2020 1:53 pm- Forum: Problem Solving
- Topic: A college admissions officer predicts that 20 percent
- Replies: 3
- Views: 361
Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters of a
Problem Solving
Re: Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters
In the 4L solution, we have 8/5 liters of concentrate (4*.4 = 8/5) In the 5L of solution, we have 5x liters concentrate, where x is the percentage of concentrate (what we are looking for). We know that the NEW solution which has a total of 9 liters is 50% concentrate. Therefore \(\frac{\left(\left(\...
- by quichopipe
Wed Jun 03, 2020 1:48 pm- Forum: Problem Solving
- Topic: Helen mixes a first solution, 4 liters of 40% concentrated sulfuric acid solution, with a second solution, 5 liters of a
- Replies: 3
- Views: 443
Re: A box contains 4 red chips and 2 blue chips. If two chips are
Probability is (total of favorable outcomes)/(total number of possible outcomes). Let's let R = a red chip and B = a blue chip. Since we need one chip from each color, we can either pick a red then a blue, or a blue then a red. RB or BR There are 4 possible Rs and 2 possible Bs Case 1: (4C1)*(2C1) C...
- by quichopipe
Wed Jun 03, 2020 1:19 pm- Forum: Problem Solving
- Topic: A box contains 4 red chips and 2 blue chips. If two chips are
- Replies: 3
- Views: 547
If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all
Problem Solving
Re: If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all
Because we are dealing with percentages, we can say that there are 100 Americans. 100 is a great number to pick because it makes our math easy. Let's break it down: We are told that 75% of Americans have an automobile...so 75 people have an auto That means that 25% don't have an automobile...so 25 p...
- by quichopipe
Wed Jun 03, 2020 1:08 pm- Forum: Problem Solving
- Topic: If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all
- Replies: 4
- Views: 509
Re: Difficult Math Problem #75 - Probability
Let's remember that probability simply says (number of favorable outcomes)/(total possible outcomes). In this case, to win the trip, a player must get all three aces. Since the player receives 3 cards and there are only 3 aces, there is only ONE way that the player gets all the aces...ace on the fir...
- by quichopipe
Wed Jun 03, 2020 1:01 pm- Forum: Problem Solving
- Topic: Difficult Math Problem #75 - Probability
- Replies: 6
- Views: 4526
Re: Difficult Math Question #67 - Combinations
If we let N = normal TV and D = defective TV, there are two ways we can receive at least 2 defective TVs Case 1: DDNN Case 2: DDDN (DDDD can't happen because there are only 3 defective TVs) Therefore, the total number of ways that the hotel can receive at least 2 defective TVs is (3C2)*(7C2) + (3C3)...
- by quichopipe
Wed Jun 03, 2020 12:55 pm- Forum: Problem Solving
- Topic: Difficult Math Question #67 - Combinations
- Replies: 5
- Views: 4363
A certain type of concrete mixture is to be made of cement, sand, and graved (gravel?) in a ratio 1:3:5 by weight. What
Problem Solving
Re: A certain type of concrete mixture is to be made of cement, sand, and graved (gravel?) in a ratio 1:3:5 by weight. W
We know that the ration is as follows:
C:S:G
1:3:5
We are told that there are 5kg of cement. That means that the ratio is multiplied by 5 (1*5 = 5); therefore, we must multiply every number by 5.
The new ratio becomes
C:S:G
5:15:25
And so 5+15+25 = 45.
Answer choice E
- by quichopipe
Wed Jun 03, 2020 12:45 pm- Forum: Problem Solving
- Topic: A certain type of concrete mixture is to be made of cement, sand, and graved (gravel?) in a ratio 1:3:5 by weight. What
- Replies: 4
- Views: 1715
Re: When a number A is divided by 6, the remainder is 3 and
\(\frac{A}{6}=\ Q\ +\ \frac{3}{6}\ and\ \frac{B}{12}\ =\ Q\ +\frac{9}{12}\) Therefore... A = 6Q + 3 B = 12Q + 9 We want to know that is the remainder when (A^2 + B^2) is divided by 12. Well, we know what A and B is so let's plug in Let's expand the numerator and denominator \(\frac{\left(36Q^2\ +\ 3...
- by quichopipe
Wed Jun 03, 2020 12:39 pm- Forum: Problem Solving
- Topic: When a number A is divided by 6, the remainder is 3 and
- Replies: 3
- Views: 528
Re: What is the greatest value y for which 4^y is a factor of 12!?
We know that 2 is a factor of 4 (2^2 = 4) So we can use the equation \(\frac{n}{2^1}+\frac{n}{2^2}+\frac{n}{2^3}...\frac{n}{2^x}\ where\ x\ is\ \inf\) \(\frac{12}{2}+\frac{12}{2^2}+\frac{12}{2^3}\ =\ 6\ +\ 3\ +\ 1\ =\ 10\) So we know that there are ten 2s in 12!, meaning that 2^10 is factor of 12! H...
- by quichopipe
Wed Jun 03, 2020 12:26 pm- Forum: Problem Solving
- Topic: What is the greatest value y for which 4^y is a factor of 12!?
- Replies: 3
- Views: 432