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All Questions
+0
234784 Questions
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405
1
help counting
A state requires that all boat licenses consist of the letter A or M or P or S followed by any five digits. What is the number of groups of letters and numbers available for boat licenses?
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Guest
Aug 13, 2021
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346
1
Algebra
For what value of x will (3 + x)/(5 + x) and (1 - x)/(2 + x) be equal?
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Guest
Aug 13, 2021
Aug 12, 2021
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307
1
Counting
The product of the digits of 3214 is 24. How many distinct four-digit positive integers are such that the product of their digits equals 24?
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Guest
Aug 12, 2021
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338
1
help coordinates
You connect the points (0, 0) and (9, 6) with a line segment. Starting at (0, 0), you move 1/2 of the way along the segment. What is the sum of the coordinates of the point you land upon?
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Guest
Aug 12, 2021
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651
1
(a) Simplify \[\dfrac{\dbinom{n}{k}}{\dbinom{n}{k - 1}}.\]
(a) Simplify \[\dfrac{\dbinom{n}{k}}{\dbinom{n}{k - 1}}.\]
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Guest
Aug 12, 2021
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214
0
help complex numbers
If z is a complex number satisfying z+(1/z)=1, calculate z^2+ (1/z^2).
Guest
Aug 12, 2021
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355
1
mathematics
Lawrence had some money. He spent 3/5 of it on 4 similar highlighters. With the rest of his money, he bought another 2 such highlighters and 10 rulers.
(a) What fraction of his money was spent on buying 10 rulers? Give
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Guest
Aug 12, 2021
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221
0
mathematics
Eddy had some round and square magnets in a box. 1/3 of the round magnets and 7/11 of the square magnets were blue. 1/2 of the total number of magnets in the box were blue. There were 6 more square magnets than round magnets in the box. How many magnets
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Guest
Aug 12, 2021
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218
0
Brichcy
Rina had a box of red, blue and green counters. The ratio of red counters to blue counters was 5:2. The ratio of blue counters to green counters is 3:5.
A) what is the ratio of red to blue to green counters ?
B) After Rina took out 126
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Guest
Aug 12, 2021
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527
1
Inequality
Solve the inequality x^3 + 4x > 5x^2 + 4x.
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Guest
Aug 12, 2021
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446
1
investment rates
An investment of $24,000 is made in a government bond that will pay 1% bi-monthly interest (meaning that the investment will increase by 1% every two months). At the end of five years, what is the total number of dollars in this investment?
Express
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Guest
Aug 12, 2021
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446
2
Inequality
Solve the inequality x(x + 6) > 16 + 2x.
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Guest
Aug 12, 2021
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578
1
help pls!!
What is the smallest positive multiple of $23$ that is $4$ more than a multiple of $89$?
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Guest
Aug 12, 2021
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313
1
help algebra
In physics, Ohm's law says that current through a wire, I, is directly proportional to voltage, V, and inversely proportional to resistance, R :
I = V/R
It's also true that resistance is directly proportional to the length of the wire. We
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Guest
Aug 12, 2021
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564
2
+6
pls help
The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 10^12 miles. The closest that Earth ever gets to Jupiter is 3.65 × 10^8 miles. What is a correct representation of the number of years it will take light to
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SenseiBungeeGum
Aug 12, 2021
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408
1
help plz
Simplify the following:
(2y + 1)(4y^10 + 2y^9 + 4y^8 + 2y^7 + 2y^6 + 4y^5)
Express your answer as a polynomial with the degrees of the terms in decreasing order.
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Guest
Aug 12, 2021
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285
0
+12
function
a function f is defined on the positive integers. it is given that f is non-decreasing, that f(2) = 2, and that f(mn) = f(m)f(n) for m and n relatively prime. prove that f(4) f(13) >= [f(7)]^2
Vaishali
Aug 12, 2021
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427
1
+12
prove that (3+2√2)^2n-1 + (3-2√2)^2n-1 - 2 is a perfect integral square
prove that (3+2√2)^2n-1 + (3-2√2)^2n-1 - 2 is a perfect integral square for every positive integer n.
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Vaishali
Aug 12, 2021
0
330
1
+12
sum of three positive real numbers by the sum of their reciprocals is always atleast 9
Show that the product of the sum of three positive real numbers by the sum of their reciprocals is always atleast 9. When can the product be exactly 9?
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Vaishali
Aug 12, 2021
0
378
1
Coordinates
A segment with endpoints at A(2, -2) and B(14, 4) is extended through B to point C. If BC = 3*AB, what are the coordinates for point C? Express your answer as an ordered pair.
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Guest
Aug 12, 2021
0
401
1
Counting
How many subsets of the set {1,2,3,4,5,...,10} contain the number 5?
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Guest
Aug 12, 2021
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554
1
The owners of a house that is assessed at $\$120,\!000$ pay $\$3,\!000$ in taxes. At the same rate, what is the tax, in dollars, for a house
The owners of a house that is assessed at $\$120,\!000$ pay $\$3,\!000$ in taxes. At the same rate, what is the tax, in dollars, for a house assessed at $\$160,\!000$?
Bulbous
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Guest
Aug 12, 2021
0
382
1
help counting
A group of 10 Caltech students go to Lake Street for lunch. Each student eats at either Chipotle or Panda Express. In how many different ways can the students collectively go to lunch?
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Guest
Aug 12, 2021
0
441
2
+54
Help
A snail fell into a well which is 3 m deep. It would climb 1/4 m up the all in the day and slide 1/10 m in the night. How many days would the snail take to get out of the well?
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mitgliedd1
Aug 12, 2021
0
396
1
mathematics
Three boys had 144 erasers together. Alan gave some of his erasers to Bill and Bill's erasers doubled. Bill then gave some of his erasers to Charlie and Charlie's erasers doubled. In the end, the three boys had and equal number of erasers
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Guest
Aug 12, 2021
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