tchrwill

The formula N = 2Xsquared + 22X + 320 represents the number of inmates, N, in thousands, in U.S. state and federal prisons x years after 1980. According to the formula, in what year were there 740 thousand inmates in the U.S. state and federal prisons? 2x...

18 years ago

The smallest non-palindromic number whose square is a palindrome? That would be 26 where 26^2 = 676.

18 years ago

Subjects Art Business Computers English Foreign Languages Health Home Economics Mathematics Music Physical Education Science Social Studies Features Contribute Download Experts Forum Job Openings Homework Tips Libraries.Jiskha Link to Us Reference School...

18 years ago

The smaller of two triangular numbers whose sum and difference are also triangular numbers? 21 - 16 = 6 21 + 15 = 36

18 years ago

The number of days in a lunar cycle The mean lunar month, 29.53 days, runs from New Moon to New Moon, the points where the sun, moon, and earth, in that order, are all on a straight line, looking down on the ecliptic plane. It takes 27.32 days for the moo...

18 years ago

I was given the following magic square and was to fill in the blanks. I know that all the rows and center diagonals are to add up to 111 and no number is used more than once (1-36). I just can't figure it out. I can get all but 2 columns and one diagonal....

18 years ago

The number feared by Pythagoreans, since it lies halfway between the only two integers that can be both the perimeter and the area of the same rectangle? A 3x6 rectangle has an area and perimeter of 18 and a 4x4 rectangle has an area and perimeter of 16....

18 years ago

One of two numbers that can be both the area and perimeter of a triangle whose side lengths are a Pythagorean triple. The 5-12-13 Pythagorean Triple triangle has an area and perimeter of 30.

18 years ago

The last term of an arithmetic sequence is 207, the common difference is 3, and the number of terms is 14. What is the first term of the sequence?: A. 165 B. 171 C. 249 D. 168 Please explain. thanks The last, or nth, term of an arithmetic progression is d...

18 years ago

A positive real number is 1 more than its reciprocal. Find the number: A. [1-sqrt(5)]/2 B. 2 C. [1+sqrt(5)]/2 D. No solution N = 1/N + 1 or N^2 - N - 1 = 0 From this derives N = (1 + sqrt5)/2

18 years ago

Have you ever been faced with making a quick estimate of a numerical quantity or determining the order of magnitude of a numerical quantity? If you were faced with determining the result of 78,359 divided by 415 without paper and pencil or a calclator, yo...

18 years ago

Earth's gravitational constant is ~32.15 ft./sec.^2 The Moon's gravitational constant is ~5.326 ft./sec.^2 Therefore, your weight on the Moon would be W(earth) x 5.326/32.15 = .1656W(earth) or approximately 1/6th your weigh on earth.

18 years ago

Suppose you have a perpendicular bisector of a chord passing through the center of a circle. The perpendicular from the center of the circle bisects the chord giving the chord two equal sides.Are the two sides guaranteed to be perpendicular?? Any help wou...

18 years ago

here's my word problem: george is twelve years older than Jeannie. The sum of their ages in 5 years is 50. How odl is jeannie now? g = Georges age j = Jennies age g = j+12 (g + 5) + (j + 17) = 50 I bet you can take it from here.

18 years ago

Suppose you have a perpendicular bisector of a chord passing through the center of a circle. The perpendicular from the center of the circle bisects the chord giving the chord two equal sides.Are the two sides guaranteed to be perpendicular?? I am assumin...

18 years ago

have I got the answer right to this sequence question 3n - 1 answer 2,5,8,11,14, Yes Terms could also be defined by T(n) = T(n-1) + 3.

18 years ago

3--If the sum of a number's digits is evenly divisible by 3, the number is divisible by 3. 9--If the sum of the digits is evenly divisible by 9, the number is evenly divisible by 9.

18 years ago

19

18 years ago

1 + 3 = 4

18 years ago

How about 12, 24, and 36.

18 years ago

A number n where if the sum of the dights of the number is divisible by n, then the number itself is divisible by n. If the sum of a number's digits is evenly divisible by 3, the number is divisible by 3. If the sum of a number's digits is evenly divisibl...

18 years ago

The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold? 1--S + A = 400 2--2S + 3A = 1050 3--2 x (1) yields 2S + 2A = 800 4--Subtract (3) f...

18 years ago

A wrecking ball is hanging at rest from a crane when suddenly the cable breaks. The time it takes for the ball to fail halfway to the ground is 1.2s. Find the time it takes for the ball to fall from rest all the way to the ground. Can anyone give me some...

18 years ago

8x=4y=12 I suspect you mean 8x + 4y = 12 or 8x - 4y = 12 If 8x + 4y = 12, y = 3 - 2x from which you get x = <<-3...-2...-1...0...1...2...3 > y = 9....7....5...3...1..-1..-3 .. or an ifinite number os solutions. If, by chance, you are seeking positive solu...

18 years ago

1. You have a 256 feet of fencing to enclose a retangular region. Find the demensions of the rectangle that maximize the enclosed area? Considering all rectangles with the same perimeter, the square encloses the greatest area. Proof: Consider a square of...

18 years ago

Correction of typo: A developer wants to enclose a retangular grassy lot that borders a city street for parking. If the developer has 336 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed. Consider...

18 years ago

what are the factor of 82? DIvide 82 by every prime number less than sqrt(82) = 9.055 Therefore, divide 82 by 2, 3, 5, 7 and 9. WHich divisions yield integer results? Only 2 yielding 82/2 = 41. Therefore, the factors of 82 are 1, 2, 42 and 82.

18 years ago

bill is 2 years older than ted. in 5 years, 5 times ted's age will be 4 times bill's age. how old is ted? B = T + 2 4(B + 2) = 5(T + 2) Can you take it from here.

18 years ago

What does composite number mean?? By definition, a composite number is one with additional divisors other than 1 and the number itself. Any number m > 1 that is not a prime is called a composite and results from multiplying primes together. A positive num...

18 years ago

A developer wants to enclose a retangular grassy lot that borders a city street for parking. If the developer has 336 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed. Considering all rectangles w...

18 years ago

A developer wants to enclose a retangular grassy lot that borders a city street for parking. If the developer has 336 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed. Considering all rectangles w...

18 years ago

The sum of two integers is greater than 12. One integer is ten less than twice the other. What are the least values of the integer? how would you set up this problem??? a + b = 12+ a = 2b - 10 a + 10 = 2b a + b = 12+ 10 - b = 20 - 12+ 3b = 22+ Minimum b =...

18 years ago

If you are traveling 100 miles and the car you are driving has tires with a radius of 14in. How many revolutions of each tire occurred in your trip? 100 miles = 5280 feet 1 foot = 12 inches There are 12x5280x100 = 6,336,000 inches in 100 miles One revolut...

18 years ago

The colored hats problem comes in many varieties. This one is the closest to the one you posed and should enable you to solve your specific problem. Alan, Ben, and Cal are seated in a room with blindfolds on. They are seated one behind the other with Ben...

18 years ago

As bobpursley said one would have variables such as "x" and "y" and the other would have variables of "x", "y' and "z". The one with variables of x and y could be solved for either x or y and substiruted into the one with variables of x, y and z yielding...

18 years ago

b. Neptune takes about 5.2 x 10^9 seconds to go around the sun. What is the average radius of Neptune's ath around the sun? c. The time it takes a planet to go around the sun is called a year. Compare Neptune's year with Earth's year. Which planet has the...

18 years ago

OUCH! So right you are. That one slipped right by me. I thought I had used the diameter. If you are traveling 100 miles and the car you are driving has tires with a radius of 14in. How many revolutions of each tire occurred in your trip? 100 miles = 5280...

18 years ago

Subjects Art Business Computers English Foreign Languages Health Home Economics Mathematics Music Physical Education Science Social Studies Features Contribute Download Experts Forum Job Openings Homework Tips Libraries.Jiskha Link to Us Reference School...

18 years ago

The Moon describes an elliptical path around the Earth and a complete orbit is 29d 12h 44m 3s Approximately! At its closest during this orbit it is termed Perigee and at its farthest Apogee. However there must be 2 other points opposite Perigee & Apogee w...

18 years ago

The earth travels in an elliptical shaped orbit around the Sun. An ellipse is the locus of a point, P, moving in such a way that the sum of its distances from two fixed points, F and F', called foci, is a constant. Draw yourself two perpendicular axes, X...

18 years ago

A football is kicked at 37 degrees to the horizontal and it goes a distance of 98 yd. Ignore air resistance. a) what is the ball’s initial velocity? b) what is the vertical component of the ball’s initial velocity? c) what is the horizontal component of t...

18 years ago

Find a way to add the digits 0-100 rather than adding them. Any suggestions on how to do this? Carl Freidrich Gauss had no idea as to how famous his name would become when he solved a seemingly time consuming arithmetic problem posed by his teacher with a...

18 years ago

It takes Alan and Carl 40 hours to paint a house, Bill and Carl 80 hours to paint the house, and Alan and Bill 60 hours to paint the house. How long, to the nearest minute, will it take each working alone to paint the house and how long will it take all t...

18 years ago

Subjects Art Business Computers English Foreign Languages Health Home Economics Mathematics Music Physical Education Science Social Studies Features Contribute Download Experts Forum Job Openings Homework Tips Libraries.Jiskha Link to Us Reference School...

17 years ago

The International Space Station, or any satellite, has both potential energy and kinetic energy. Without getting into the derivation of the relationships, sufficeth to say that the the ability of a unit mass at a distance r to perform work, with respect t...

17 years ago

How do you work out: 1--5u-v+2w=25 2--3u+2v-3w=16 3--2u-v+w=9 Multiply (1) by 2 and add to (1) giving you an equation in u and w. Multiply (3) by 2 and add to (2) giving you another equation in u and w. Multiply one of them by whatever makes the coefficie...

17 years ago

how to find what number can multiply into a number up to 69 The prime facrization of the number 69 is 3(23). The total number of factors/divisors is F = (1 + 1)(1 + 1) = 4, namely 1, 3, 23 and 69.

17 years ago

If an object is fired upward from the top of a tower at a velocity of 80 feet per second, the tower is 200 ft high, the formula is h(t)=-16t^2+80t+200, t is time h is height, how long after it is fired does the object reach the max height? It is like a qu...

17 years ago

What numbers under 100 look the same when viewed upside down? I know of 0,1,8,and 11. 1, 3, 6, 8, 9, 19, 11, 13, 16, 18, 19(61), 30, 31, 33, 36(93), 38, 39(63), 61(19), 66(99), 68(89), 69(69), 81, 83, 86(98), 89(68), 90, 91(16), 96(96), 98(86), 99(66).

17 years ago

8 1 6 3 5 7 4 9 2 4 3 8 9 5 1 2 7 6 2 9 4 7 5 3 6 1 8 6 7 2 1 5 9 8 3 4 6 1 8 7 5 3 2 9 4 2 7 2 9 5 1 4 3 8 Of course these are simply rotations and mirror images of the basic 3 cell magic square. How many others can you find? In general: MAGIC SQUARES Ma...

17 years ago

At the beginning of January, Lisa had some money in her savings account. Each month she was able to deposit enough from her allowance to double the amount currently in the account. However, she had a loan to pay off, requiring her to withdraw $10 from the...

17 years ago

Mr. Stewart rode a distance of 12miles out into the country on a bicycle and returned on foot. His rate on the bicycle was 4 times his rate on foot. He spent 5 hours on the entire trip. Find the rate of walking and on the bicycle. Letting V equal the walk...

17 years ago

Problems of this type are solvable by either of the following methods. << If it takes me 2 hours to paint a room and you 3 hours, ow long will it take to paint it together? >> Method 1: 1--A can paint the house in 5 hours. 2--B can paint the house in 3 ho...

17 years ago

<< There are 1000 lockers in the long hall of Westfalls High. In preparation for the beginning of school, the janitor cleans the lockers and paints fresh numbers on the locker doors. The lockers are numbered from 1 to 1000. When the Westfalls High student...

17 years ago

The product of two consective positive even intergers is 440. Would they be 20 and 22? The two consecutive even integers would be the two on both sides of the square root of 440. The square root of 440 is 20.976 thereby making the two even integers 20 and...

17 years ago

1. Music Mart sells an average of 150 cassette tapes daily at $10.00 a tape. If 15 sales are lost for each $0.50 increase in unit price, what price will maximize profits? What will be the resulting daily profit? A few punches on the calculator will quickl...

17 years ago

In my hand, I have two United States Coins whose totatl value is 55 cents. However, one of the coins is not a nickel. The two coins are a half dollar and a nickel. The problem statement said that "one" of the coins was not a nickel. Nothing was said about...

17 years ago

I assume that you are seeking values of x and y that make x^n + y^n = N, a perfect number, 2^(p-1)(2^p - 1), where p is a Mersenne prime number. A perfect number is an integer that is equal to the sum of its positive divisors (not including itself). There...

17 years ago

The measure of the largest angle of a certain triangle is 6 times the smallest. The measure of the remaining angle is 100 degrees less than te sum of the other two angles. Write a system of 3 equations you could use to solve this problem. x=smallest y=oth...

17 years ago

Subjects Art Business Computers English Foreign Languages Health Home Economics Mathematics Music Physical Education Science Social Studies Features Contribute Download Experts Forum Job Openings Homework Tips Libraries.Jiskha Link to Us Reference School...

17 years ago

The only perfect number of the form x^n + y^n One solution is 1^3 + 3^3 = 28, a perfect number.

17 years ago

the hubble telescope has a mass of 1.5 x 10^4 kg and its orbiting the earth 596 km above the ground surface.the earths radius is 6.38 x 10^3km. CAlculate a)the force of gravitation on the telescope due to the earth's pull. given: G=6.67 x 10^-11Nm/kg and...

17 years ago

Please explain how to figure out the following 7th grade math problem: If a rubber ball bounces exactly 1/2 the height from which it is dropped; and it is dropped from the top of a building that is 64 meters tall, how high will the ball bounce on its eigh...

17 years ago

The sum of two consecutive numbersis 205. whatare two numbers? (hint:let n represent the first number. then n + 1 represents the second number. ALternatively: 205/2 = 102.5 making the two numbers 102 and 103.

17 years ago

3/7x+5=8. I tried to cross-mulitplied and I got 3x+35=8. I divided -27 by 3 and I got -9. Is this right? Not quite. Given 3/7x + 5 = 8 Multiply through by 7x yields 3 + 35x = 56x 3 = 21x making x = 1/7.

17 years ago

-5y-9=-(y-1) I combined like terms and I divided -8/-4. I got 2. Is this right? Given -5y - 9 = -(y - 1) ......-5y - 9 = -y + 1 ......-9 - 1 = 4y ......-10 = 4y ........y = -10/4 = -2.5

17 years ago

what is a number that divied by 3 has a remainder of 2 also that smae number divided by 4 has a remainder 3 and that same number divided by 5 has a remainder of 4 Here is another version of the famous Chinese Remainder puzzles which should give you an ide...

17 years ago

Considering all rectangles with a given perimeter, the square encloses the greatest area. Proof: Consider a square of dimensions x by x, the area of which is x^2. Adjusting the dimensions by adding a to one side and subtracting a from the other side resul...

17 years ago

There is one bus. on this bus there are 7 girls. each girl has 7 bags. each bag contains 7 cats and each cat has a litter of 7 kittens. how many legs are on the bus? 7x2 = girls legs 7x7x7x4 = cats legs 7x7x7x7x4 = kittens legs

17 years ago

Height reached above the cliff is h = V^2sin^2(µ)/9.8. t1 = Vsin(µ)/9.8. h + 35 = 9.8t2^2/2---->t2 d = Vcos(µ)(t1 + t2)

17 years ago

Square room is x by x with area x^2. The rectangular room is (x - -4) by (x + 5. Therefore, x^2 = (x-4)(x+5) I bet you can take it from here.

17 years ago

Which one(s) are evenly divisible by prime numbers less than the sqrt of the number. The square root of the largest is 20.32. Since they are all odd, 2 is not a divisor, Therefore, division by 3, 7, 11, 13, and 19 are the only tests.

17 years ago

How much money must be deposited now at 6% interest compounded semi-annually, to yelid an annuity payment of $4,000 at the beginning of each six-month peroid for a total of five years I need to then round my answer to the nearest cent The present value of...

17 years ago

please tell me what to do to get the answer thanks :) The monthly payment on a $90,000 mortage at a rate of 7.5% for 30 years R = Pi/1 - (1 + i)^-n] where R = the monthly payment, P the ampunt borrowed, i = the periodic decimal interest rate and n = the n...

17 years ago

I assume you really mean What do you call a number that has only 2 factors? Any number having only 2 factors is called a prime number. The 2 factors are 1 and the number itself.

17 years ago

The question: A postal cler sold 75 stamps for $19.95. Some were 20-cent and some were 33-cent stamps. How many of each kind did he sell? Lets explore this ignoring the fact that there are supposed to be 75 stamps. 1--.20a + .33b = 19.95 or 20a + 33b = 19...

17 years ago

Low Earth orbiting satellites orbit between 200 and 500 miles above Earth. In order to keep the satellites at a constant distance from Earth, they must maintain a speed of 17,000 miles per hour. Assume Earth's radius is 3960 miles. a. Find the angular vel...

17 years ago

A car gets 21 mi/gal in city driving and 28 mi/gal highway driving. If 18 gal of gas are used in traveling 448 mi, how many miles were driven in the city, how many driven on the highway (assuming that only the given rates of usage were actually used)? H =...

17 years ago

how long does it take for our solar system to rotate around the Milky Way galaxy? Many people have no idea that the Earth moves at all, thinking that the Sun revolves around the Earth. The motion of our Earth through space is really very complex. It rotat...

17 years ago

Lets look at locker number "n". All the lockers are locked to begin with. Since all the lockers are opened on the 1st pass, locker "n" is now open. For locker "n" to be closed on the 2nd pass, n must be divisible by 2. For the locker to be opened on the 3...

17 years ago

please help! find 3 consective numbers with a sum of 12. find three consective numbers with a sum of 45 12/3 = 4 making the three numbers 3, 4 and 5. 45/3 =

17 years ago

What are the factors for 36,27,30,75,,90,84 * Factoring or factorization is the process of breaking down a composite number into its prime factors and their respective exponents. * Every composite number can be factored into a unique set of prime factors...

17 years ago

Nice trick there tchrwill. But too bad it doesn't work if the question ask for an even number of consecutive numbers, you know, like ask for 4 consecutive instead of 3, or 5 or 7 or any odd number. Sorry Jake1234 Find 4 consecutive numbers that sum to 26....

17 years ago

History records that Pythagoras and Diophantus were probably the two most well known mathematicians that had anything to do with right triangles with integer sides. The famous Pythagorean Theorem states that in any right-angled triangle, the sum of the sq...

17 years ago

How much money must be deposited now at 6% interest compounded semiannually to yield an annuity payment of $4,000 at the beginning of each six-month period for a total of five years answer needs to be rounded to the nearest cent I got $29,440.36 choices a...

17 years ago

The sum of four consecutive odd integers is -72. Write an equation and find the values of the 4 integers. I think that the equation is -x-x-x-(-x+1). So far that's where I'm am. Am I on the right track? The easy way to solve this tye of problem is to simp...

17 years ago

Still need help please: Stan invested $13,000, part at 17% and part at 2%. If the total interest at the end of the year is $1,910, how much did he invest at 17%? Let x = the 17% quantity and y = the 2% quantity. Then .17x + .02y = 1910 Also, x + y = 13,00...

17 years ago

Paul needs to repay a loan(installment loan) of $3,500 with 20 equal monthly payments of $196 each. What is the APR of the laon? I got 11.16% then I got 12 % so I don't know From R = Pi/[1 - (1+i)^-n] Using an APR of 13.25% compounded monthly: R = 3500(.0...

17 years ago

How much money must be deposited now, at 6% interest compounded semiannually to yield an annuity payment of $4,000 at tha beginning of each six-month period,for a total of five years? Round your answer to the nearest cent. A. $38,120.80 B. $35,144.44 C. $...

17 years ago

Mike purchased a home the mortgage is $235,000 at 8 3/4 % for 25 years. His annual property taxes on the home are $6,345 he also has to pay hazzard insurance in the amount of $1,479. What is the PITI payment of their loan ? I am not to sure about this one...

17 years ago

Using different numbers so you can work out your own version: If 1 1/2 chickens lay 1 1/2 eggs in 1 1/2 days, how many chickens will be required to lay 20 eggs in 6 days? ...Chickens....Eggs...Days ....1 1/2.....1 1/2...1 1/2 .......3........3.....1 1/2 ....

17 years ago

The length of a certain rectangle is 20m and the length increased by 100m, the perimeter of the new rectangle would be twice the perimeter of the original rectangle. What are the dimensions of the original rectangle? I started by saying : L=w+20 >>> l+w+2...

17 years ago

One kilogram equals 2.204 pounds.

17 years ago

Solve. x/5x+10+x-3/x+2=7/5 I multiplied both sides by 5(x+2) and came up with -17 As written, x/5x + 10 + x - 3/x + 2 = 7/5. If parentheses are supposed to be used, please correct the expression As written, multiply through by 5x yielding 5x^2 + 54x - 15...

17 years ago

find the coordinates of a quadrilateral so that the slope of all four sides are negative ??? please explain your answer (0,0), (-5, +8), (-8, +9) and (-3, +1) or any similarly shaped quadrilateral. Any line between the +y axis and the -x axis or the +x ax...

17 years ago

census taker walked up to the man of the house and asks how old are your 3 children the man says i don't know , but the product of their ages is 72 and the sum of their ages is my house number. the census taker walks out to the front of the house walks ba...

17 years ago

1--What combinations of three numbers multiply out to equal 72 and what are their sums? 2--Products: 72x1x1, 36x2x1, 24x3x1, 18x4x1, 18x2x2, 12x6x1, 12x3x2, 9x8x1, 9x4x2, 8x3x3, 6x6x2, 6x4x3. 3--Sums:....... 74,........ 39,....... 28,....... 23,........ 2...

17 years ago

Algebra is a branch of mathematics that involves applying the rules of arithmetic to numbers and to letters that stand for unknown quantities. Letters, used to denote arbitrary unknown numbers and, numbers attached to the letters in the form of coefficien...

17 years ago

consecutive odd integer problem find two odd integers the sum of whose squares is 130. (sq)=squared let x= 1st odd int let x+2=2nd odd int x^2 + (x + 2)^2 = 130 x^2 + x^2 + 4x + 4 = 130 2x^2 + 4x - 126 = 0 x^2 + 2x - 63 = 0 I bet you can find the answers...

17 years ago

well, if its not a rhombus or a trapezoid then.... what has two right angles and one pair of parallel sides? A trapazoid with the 2 right angles at one end.

17 years ago