# I am a 3-digit number. My first digit is thrice my last digit. The sum of my last two digit is one less than my last digit

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To win \$1 million, you must draw two cards whose sum is nine from a stack of cards numbered 1 through 10. After the first draw, you replace the card and shuffle the stack again for the second draw. What is the chance that your two cards will have a sum of nine?
2. ### math

To win \$1 million, you must draw two cards whose sum is nine, from a stack of cards numbered 1 through 10. After the first draw, you replace the card and shuffle the stack again for the second draw. What is the chance your two cards will have a sum of nine?
3. ### Math2

Paula has a mathematical magic trick. She gives the following instructions to her friend Jessica: -think of a number - triple it - add 6 - divide by 3 - add 5 - subtract your original number Paula now knows the number Jessica ended up with. 1.) what number will the sequence of...
4. ### math

a number machine takes any number put into it, multiplies it by 3 and then subtracts 2. reuben put a number into the machine. he took the new number that came out and put that number back into the machine. He took the new number that came out and put that back into the machine...
5. ### Algebra

I have been doing sum of cubes and difference of cubes problems and I just cant figure out these questions... Sum of Cubes Pattern a3 + b3 = (a + b)(a2 - ab + b2) Difference of Cubes Pattern a3 - b3 = (a - b)(a2 + ab + b2 1. 64x^3 + 1 2. 1-125b^3 3. 8x^3y^6 + 27 4. a^3 b^6...
6. ### Math

In euclidean geometry, the sum of the measures of the interior angles of a pentagon is 540. predict how the sum of the interior angles of a pentagon would be different in spherical geometry
7. ### Math grade 6, ratio

A certain sum of money was shared among three friends a,b,&c.a received 3/7 of the sum of money & b got 2/3 as much as a.c received \$49 less than a.find the ratio of b's money to c's money.how much moneydid c receive?

California has more national parks than many other states. The sum of the two digits in its number of parks is 6. Both digits are even. If California has fewer than 30 national parks, how many does it have?
9. ### statistics

the following data represents the percentages of family income allocated to groceries for a sample of 50 shoppers: percentage of family income #of shoppers 10-19 6 20-29 14 30-39 16 40-49 11 50-59 3 1.calculate the value of mean 1.1 meadian percentage of family income spent on...

Which statement is TRUE? A. Every real number is an integer. *** B. Every rational number is a real number. C. Every rational number is a perfect square. D. Every integer is an irrational number.
11. ### math

one number is 6 more than the other number also 7 times the smaller number is equal to 6 times the larger number find the two numbers
12. ### physics

A condition for mechanical equilibrium is that the sum of the forces acting equal zero. Another condition is that the sum of the _____A) centrifugal forces also equal zero B) centers of gravity balance.C) torques equal zero.D) rotational inertias equal zero. E) centripetal ...
13. ### Math- Trig

1. Determine the exact value of cos^-1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^-1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^-1(19 pi)). with explanation. 4. Determine the exact value of sin(sin^-1(20 pi)). with ...
14. ### chem 211

When 20.0 mL of 0.535 M H2SO4 is added to 20.0 mL of 1.07 M KOH in a coffee-cup calorimeter at 23.50°C, the temperature rises to 30.17°C. Calculate H of this reaction per mole of H2SO4 and KOH reacted. (Assume that the total volume is the sum of the individual volumes and ...
15. ### math

1)a number of two digits is such that the digits is 11 and the number is 27 greater than the number obtained by reversing the digits. a)Find the number b)State the advantages of the mean as an average 2) use logarithm tables to evaluate to five significant figures (23,9*78.619...
16. ### Math for Educators

Use Gauss's approach to find the following sums (do not use formulas). a. 1 + 2 + 3 + 4 +...+ 102 b. 1 + 3 + 5 + 7 +...+1001 a. The sum of the sequence is ? My answer 102-51(103)= 5,253 b. The sum of the sequence is? My answer 500.3(1,002)=501,300.6 Are my answers correct? If ...
17. ### Chemistry

Which of the following accurately shows the correct terms for the two sides of a chemical equation, correctly placed to the left or to the right where they belong, and also shows the correct symbol that is written between them? Choose a,b,c, or d. ** I believe the answer is A...
18. ### math

The number of my hundreds plus the number of y thousands is 3.the number of my tens is 7 times the number of my hundreds.the number of my ones in 3 times the number of my thousands.all my digits are different.What number am i?
19. ### algebra

need a pair of dice where each number from 1 - 12 has an equal chance of being rolled. You have been given the task of designing the new dice for the board game. You are to use two standard cubes (each with six faces) and number them in such a way that the probability of ...
20. ### Statistics

a roulette wheel has 40 slots evenly divided between red (even) and green (odd) slots totaling 38 and a "0" and a "00". what is the probability of the ball landing in an: A)even number < 10 B) other than an even or odd number C) odd number > 15 D) even number greater ...
21. ### Math Trivia

1) A school has 1-- closed lockers. Larry comes into the school and "toggles" every second locker, then Fred toggles every 3rd, Bob every 4th, etc, up to Zoe who toggles every 100th locker. After all this"toggling" how many lockers are open? 2) If you take any valid time from ...
22. ### statistics

for some independent data using the mann whitney test group a has rank sum of 97.5 with group size = 9 group b has a rank sum of 92.5 with a group size of 10 from the data table i have the two critical values for p=0.05 are 65 and 115 i know im supposed to compare them and ...
23. ### stats

for some independent data using the mann whitney test group a has rank sum of 97.5 with group size = 9 group b has a rank sum of 92.5 with a group size of 10 from the data table i have the two critical values for p=0.05 are 65 and 115 i know im supposed to compare them and ...
24. ### Probability

Check my answers, thanks! Roll 2 dice. What is the probaility of rolling and getting: A) a sum less than or equal to 6 = 15/36=.42 B) sum of greater than or equal to 10 = 6/36=.60 C) difference of less than or equal to 1 = that can't be possible right? A) You are correct. B) ...
25. ### Physics

What happens to the atomic number of the daughter nucleus if it is formed after the emission of the beta particle? The atomic number remains the same. The atomic number increases by two. The atomic number increases by one. The atomic number decreases by two. D
26. ### chemistry

wich of the following shows the correct terms for the two sides of a chemical equation correctly placed to the left or right where thay belong an also shows the correct symbol reactants---products products=reactants reactants=sum or sum----reactants please help again lol
27. ### general science

which of the following accurately shows the correct terms for the two sides of a chemical equation, correctly placed to the left or to the right where they belong and also shows the correct symbol that is written between them? reactants --> products products = reactants ...
28. ### Physics

Two boys are pulling a box across a horizontal floor as shown in the figure below. vector F 1 = 50.0 N and vector F 2 = 100 N. (a) Find the resultant (or sum) force by the graphical method. (b) Find the resultant (or sum) force by the component method.
29. ### GEN MATH

Solve the ff. problems below. Show your complete solution: 1.) A number added to four times its reciprocal is equal to the sum of 3/2 and the quotient of two or more than three times the same number and four. 2.) A car travelled the first 240 kilometers at a certain speed and ...
30. ### Math

One day 3/8 of the students in Jack's class ate toast for breakfast. Another 1/8 of the students ate oatmeal. Jack added the fractions and found the sum was 7/8. Which statement best describes the sum 7/8? A) It is reasonable because 1/2 + 0 = 1/2. B) It is reasonable because ...
31. ### Java programming

Okay so I am rewrite the program and it's still not coming right can anyone help me see what's going wrong here please I have to turn this in by tmw so here the program The following program is supposed to read two numbers from a file named Ex20Input.txt, and write the sum of ...
32. ### general math

A father's age is three times the age of his childs. After five years of age, father's age childs would double the sum, the father's age - please help me for this question here is not given number of child.
33. ### Geometry

What is the sum of the measures of the interior angles of a convex octagon? What is the sum of the measures of the interior angles of a convex decagon? What is the measure of one interior angle of a regular polygon with 20 sides? Thank You! (:
34. ### Algebra

In an infinite geometric progression with positive terms and with a common ratio |r|<1, the sum of the first three terms is (26/3) and the sum of the entire progression is 9. Determine the progression. Find the first term and common ratio
35. ### Math help Ms. Sue please

1. What is the simplified form of the expression? 7m^2 + 6.5n - 4n + 2.5m^2 - n 9.5m^2 + 1.5n 4.5m^2 + 1.5n 1.5m^2 - 4.2n 9.5m^2 - 1.5n 2. What is the sum? 9/4 + (-1/5) 41/20 -41/20 -1/3 8/20 3. Order the following numbers from least to greatest. √7, -2.3, √3, 5.1...

Consider the statement: If two whole numbers are even, then their sum is odd. What assumption should be made to prove the statement indirectly? A- The numbers are equal. B- The numbers are not equal. C- Their sum is not odd. D- Their difference is even. My choice is C.
37. ### math

ok i need help with these questions i have been trying to figure them out and my brain isnt working. please help and thank you ahead of time. if you can help. 4. Q.write and algebraic expression for the product of 15 and c A. IS IS C-15 16. Q. define the variable and write an ...
38. ### Maths

There are x no of 5 rupee coins and the no. of 2 rupee coins is 3 times more than the no of 5 rupee coins. Their total sum=₹77. Find the number of ₹2 coins and ₹5 coins.
39. ### Psychology

30 Brothers each attend the daily sunset service 4 times a week. Whilst they are all present on Sunday, the numbers present throughout the week varies from day to day. Alan wanted to learn more about the religion. He knew the Brothers were in great demand for their knowledge ...
40. ### calculus

true or false: if the sum from n=1 to infinity of a(n) converges, and the sum from n=1 to infinity of b(n) diverges, then the series from n=1 to infinity of (a(n)*b(n)) diverges i said this was true... is this correct?
41. ### maths

A) In an arithmetic progression the sum of the first ten terms is 50 and the fifth term is three times the second term (1) Calculate the first term (2)Calculate the sum of the 20 terms
42. ### math plllls heelp

How many integers 1≤N≤1000 can be written both as the sum of 26 consecutive integers and as the sum of 13 consecutive integers?
43. ### Math

1. The sum of ages of father and son is 64 years. Father says to son, “I am 5 times as old as you were when I was of your age.” What is the sum of digits of son’s age?
44. ### Math

The sixth term of an appointment is 37 and the sum of the first sixth term is147 find the first term,find the sum of the first fifteen terms.
45. ### math

Sum of 8numbers is X,sum of a different set of nine numbers is 2x.average of smaller set of numbers is one more than average of the larger set of numbers.write an equation for X and solve it
46. ### Math

Create a Raptor Flowchart that calculates the amount a person would earn over a period of time if his or her salary were five cents the first day, ten cents the second day, and so on doubling each day. Your program should: 1. Request the number of days. 2. Display a table ...
47. ### Probability

Roll two fair dice. what is the probability that you get a 2 and a 5 without regard to which is on which die? What is the probability of at least one 2 or one 5? What is the probability of a sum of 7? "what is the probability that you get a 2 and a 5 without regard to which is...
48. ### Statistics

In a game you roll two fair dice. If the sum of the two numbers obtained is 3,4,9,10 or 11 you win \$20. If the sum is 5,6,7 or 8 you pay \$20. However if the scores on the dice are the same no one is required to pay. (a) Construct a probability distribution table for the event...
49. ### CHEMISTRY HELP !!!!

If a nucleus undergoes beta particle emission a. its atomic number decreases by four and its mass number decreases by two. b. its atomic number decreases by two and its mass number decreases by four. c. its atomic number increases by one and its mass number is unchanged. d. ...
50. ### computer programming

Create a Raptor Flowchart that calculates the amount a person would earn over a period of time if his or her salary were five cents the first day, ten cents the second day, and so on doubling each day. Your program should: 1. Request the number of days. 2. Display a table ...
51. ### I need 2 get these prob. b4 they get 2 me on test!

A father gives his son a ride by pulling a sled across the rough snow. The father runs across the snow with a constant acceleration while pulling the sled at F = 75.0 N, at 30 deg. above the horizontal. The combined mass the sled and son is 30.0 kg. The coefficient of kinetic ...

A bank teller is counting the total amount of money in a cash register at the end of the day. There is a total of \$2600 in denominations of \$1, \$5, \$10 and \$20 dollar bills. The total number of paper bills is \$235. The number of twenty dollar bills is twice the number of \$1 ...
53. ### Computer

Write a C++ program that uses 2 functions the first is to read an array of students’ grades and return the sum of the all grades to the main program. And the second function will receive the sum of all grades from the main program and calculate and print the average of the ...
54. ### geometry

If the ratio of the interior angle to the exterior angle is 5:1 for a regular polygon, find a. the size of each exterior angle b. the number of sides of the polygon c. the sum of the interior angles d. Name the polygon
55. ### MATHEMATICS

If x>1 find the sum of infinity of x ^2/(x-1)+x+(x-1).... And also find the value of x for the given series TO HAVE THE SUM OF INFINITY
56. ### Geo

Conjecture: The sum of the first 30 odd whole numbers is? Conjecture: The sum of the first 30 even numbers is?
57. ### Maths

The sum of the ages of 3 person is 50 years. What will be the sum of their ages after 5 years
58. ### math

the sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers
59. ### Math

What is the sum of the prime factors of 1260? For example, the sum of the prime factors of 20 is 9.
60. ### Algebra

Here is my problem. Please walk me through how you got to the answer. Three-fourths of a number equals 3 times the number increased by 9. Is this the correct equation? 3/4n = 3n + 9 Here's another. In this one, does "is" mean "equals"? One-fourth of a number is one-half more ...
61. ### Math

A die is rolled, and the number that falls uppermost is observed. Let E denote the event that the number shown is even, and let F denote the event that the number is odd number. A. Are the events E and F mutually excluseve? B. Are the evnts # and F complementary?
62. ### Math

Lesson is on using formulas A=l*w Create formulas for the following relationships. A. The relationship between the number of tires (not including spares) and the number of cars in a parking lot. B the relationship between the number of minutes to the number of days.
63. ### math

Find: Two numbers whose sum -10 and whose product is 5. ;;; x+y = -10 x= -10-y xy=5 (-10-y)y=5 -10y-y^2 = 5 -y^2-10y-5=0 y= -9.47213595499958 and y= -0.52786404500042 Two numbers whose sum is 1 and whose product is 1. ;;; y= (-1+ sqrt(-3))/-2 y= (-1 - sqrt(-3))/-2 Find the ...
64. ### math

The Fibonacci sequence of numbers begins 1,1,2,3,5,8,13,21,34,55,…and continues by the rule: every number is the sum of the two previous numbers. a. Determine the next five (eleventh through fifteenth) elements of this sequence. b. Compute the ratio of the fourteenth and ...
65. ### Pre Calculus

A bank teller is counting the total amount of money in a cash register at the end of the day. There is a total of \$2600 in denominations of \$1, \$5, \$10 and \$20 dollar bills. The total number of paper bills is \$235. The number of twenty dollar bills is twice the number of \$1 ...
66. ### math

there are 8 consecutive integers that add up to 31. Only two of the integers are equal. what is the greatest number for any one integer? I assume that you are saying that of the 8 integers, only one is repeated. If you include 8 as an integer, the sum will be greater than 31, ...
67. ### Periodic Table

1. The atomic mass of an element is A. the sum of the protons and neutrons in one atom of the element.** B. twice the number of protons in one atom of the element. C. a ration based on the mass of a carbon-12 atom D. a weighted average of the masses of an element's isotopes
68. ### math word problem

Need help setting this up! A corner store has 54 pieces of candy. The number of gumdrops is six less than two times the number of jawbreakers. The number of lollipops is four more than the number of jawbreakers. How many each type of candy?
69. ### Algebra

Find two consecutive positive integers such that the sum of the square is 85..(show your work) If X is the first integer, then X+1 is the next; therefore, the sum of those squares will be 85. X^2 + (X+1)^2 = 85 Solve for X, then add 1 to it for the second integer. Post your ...
70. ### math

Nancy's birthday is between August 10 and August 24. The date of her birthday is not an even number. The sum of the digits is 4. Show how to find the date of Nancy's birthday.
71. ### math

A positive two-digits number is such that the product of the digits is 24.When the digits are reversed,the number formed is greater than the original number by 18.Find the number
72. ### math

You roll a number cube twice. Find the probability of the event in fraction form. -Rolling a 4 then an even number -Rolling a 3 then a 3 -Rolling a number less than 1 and then a number less than 2
73. ### Further mathematics

An exponential sequence of positive terms and a linear sequence have the same first terms.the sum of their second terms is 3/2 and the sum of their third terms is 6.find their fifth terms.
74. ### 6TH GR. ALGEBRA

EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.
75. ### Math

Rushil and Timmy shared a sum of money in the ratio 3:4. If Timmy received R 6 more than Rushil, find the total sum of money shared between them.
76. ### Math

Write XY as the sum of unit vectors for X(8,2,-9)and Y(-12,-1,10). First, express XY as an ordered triple. Then write the sum of the unit vectors i,j,and k. XY = (-12,-1,10) - (8,2,-9) = (-12-8,2-1,10-(-9) = (-20,-3,19k) = -20i+j+19k
77. ### physics

A block accelerates at 3.3 m/s^2 down a plane inclined at an angle of 26 degrees.Find micro(k) between the block and the inclined plane. The acceleration of gravity is 9.81 m/s^2. This is my work but i am not sure if it is correct: sum of forces on x axis= -kinetic friction + ...
78. ### precal

The smaller of 2 numbers is 10 less than 4 times the greater number. The bigger number is 19 more than the smaller one. If x is the smaller number one equation is: a)x+y=19 b)x=19-y c)y=x+19 d)x=y+19 I'm almost positive it is d I just want to check. A second equation is: a)x=...
79. ### Math correction

(1)Translate the following statement into an algebraic equation. Lex x represent the number. 12 less than 5 times a number is 18 my answer: 5x - 12 = 18 (#2) 4 times a number, increased by 9, is 17. Find the number. My answer: 4x + 9 =17 looks ok to me.
80. ### math

Which word phrase can be modeled by the expression? Choose all that apply. 8 - 3n A- eight decreased by the product 3 and a number B- the difference of 8 and the quotient of 3 and a number C- the difference of eight and the product of 3 and a number D- eight less than 3 times ...
81. ### math

Three of these puzzles have more than one answer. Try to find all the possible answers for each puzzle. One of these puzzles is impossible. 1.My number is a factor of 20.It's also a factor of 30. 2.My number is a multiple of 10.It's also a factor 45. 3.My number is between 40 ...
82. ### math

three of these puzzles have more than one answer. try to find all the possible answers for each puzzle one of these puzzle is impossible. 1.my number is a factor of 20. it's also a factor of 30. 2. my number is a multiple of 10. it's a factor of 45. 3. my number is between 40 ...

Please help! Which statement is false? A. The number zero is a rational number. B. Some irrational numbers are also rational numbers. C. Every irrational number is a real number. D. Every integer is a rational number. I thinks its D. Please help!
84. ### MATH

Which statement is TRUE? A. Every real number is an integer. B. Every rational number is a real number. C. Every rational number is a perfect square. D. Every integer is an irrational number.
85. ### Science

if an atom has 17 electrons and its mass number is 35, calculate the following: number of protons, atomic number, and number of neutrons. i think there would be: an atomic number of 17, there would be 17 protons, and there would be 18 neutrons. am i correct???
86. ### Algebra

A stack of \$20, \$50, and \$100 was retrieved as part of a police investigation. There were 36 more \$50 bills than \$100 bills. Also, the number of \$20 bills was 8 times the number of \$100 bills. If the total value of the money was \$9240, find the number of each type of bill. A. ...
87. ### MATH

Sarah rolled a fair six-sided die 24 times. The table below shows the number of times each number was rolled: Number Cube Experiment Number on the Cube Number of Times Appeared 1 6 2 4 3 0 4 9 5 3 6 2 According to the results in the chart, what is the experimental probability ...
88. ### Algebra

The difference of two integers is 6. The sum of twice the smaller and the larger is 72. Find the integers. The sum of 3 times a larger integer and 2 my answer the lager integer is 192 and the smaller integer is 72
89. ### Computer Programming

Java Programming Question: basically want to keep the user in a loop that displays the menu and requests a user choice again and again until the user enters choice option 0 and exits the program. When Option 1 is chosen, I want to ask the user, "How many numbers to add?" After...
90. ### math

A pigeon runs into a flock of pigeons and asks their leader what is your number in this flock? The leader replays: I am not suppose to tell you our exact number, but if you take twice our number and add a half of our number and still add another quarter of our number plus ...
91. ### Math

A pigeon runs into a flock of pigeons and asks their leader what is your number in this flock? The leader replays: I am not suppose to tell you our exact number, but if you take twice our number and add a half of our number and still add another quarter of our number plus ...
92. ### chemistry

name each isotope, and write it in symbolic notation atomic number 26; mass number 56 atomic number 29; mass number 64 atomic number 17; mass number 37
93. ### Math

5 times the least of three consecutive odd numbers is 35 more than twice the sum of the greater two. What is the sum of the three consecutive odd numbers?
94. ### Algebra

Cant figure out what to do (equations) 1)Find three consecutive even integers with a sum of -30 2)Find four consecutive integers with a sum of 26
95. ### Precalculas

The sum of the first 30 terms of one arithmetic sequence is 300 more than the sum of the first 30 terms of another arithmetic sequence. what could the  sequences be?
96. ### Algebra

5 times the least of three consecutive odd numbers is 35 more than twice the sum of the greater two. What is the sum of the three consecutive odd numbers?
97. ### Economics

Suppose that there are 1,000 hot-pretzel stands operating in Toronto. Each stand has the usual U-shaped average total cost curve. Both the market demand curve and the supply curve for pretzels are linear, and the market for pretzels is in long-run competitive equilibrium. a) ...
98. ### Physics

What is the resultant of two displacement vectors having the same direction? a. The resultant is the sum of the two displacements having the same direction as the original vectors. b. The resultant is the difference of the two displacements having the same direction as the ...
99. ### statistics, are my calculations correct?

classify the following as discrete or continuous random variables: a) the time it takes to run a marathon- i think that it is discrete b) the number of fractions between one and two- i think that it is discrete? c) a pair of dice is rolled and the sum to appear on the dice is ...
100. ### Math

What do you do to check whether a number is rational or irrational? How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation. Can someone please help me with these questions?!