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All Questions
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231301 Questions
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251
1
help plz
We choose a positive divisor of 20^{20} at random (with all divisors equally likely to be chosen). What is the probability that we chose a multiple of 10^{20}? Express your answer as a fraction in simplest form.
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Guest
Sep 1, 2021
0
316
1
Algebra
A sailboat with a sick passenger abroad is following a parabolic path given by the equation y=-x^2+4x+3
The boat’s captain sent out a distress signal. A speedboat is trying to catch the sailboat to provide medical aid and is on a path given by
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Guest
Sep 1, 2021
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241
1
help geometry
The diagonals of rhombus MNOP, have lengths of 12 mm and 18 mm. What is the perimeter, in millimeters, of rhombus MNOP?
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Guest
Sep 1, 2021
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244
1
help geometry
Altitudes AX and BY of acute triangle ABC intersect at H. If $\angle BAC = 43^\circ$ and $\angle ABC = 69^\circ$, then what is $\angle HCA$?
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Guest
Sep 1, 2021
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188
0
help algebra
Given that the absolute value of the difference of the two roots of ax^2 + 5x - 3 = 0 is 7/2, and a is positive, what is the value of a?
Guest
Sep 1, 2021
0
257
1
Triangle Inequality
What is the greatest possible side length of a triangle whose perimeter is 1000 and all whose sides are even integers.
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Guest
Sep 1, 2021
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238
1
Integer Roots
How many polynomials of the form x^2 + mx + n = 0 are there with positive integer roots and n = 30?
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Guest
Sep 1, 2021
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237
1
Solve the inequality for
Solve the inequality for
v
.
≥+v14−15
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Guest
Sep 1, 2021
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295
1
plaese help me
A sports tournament has
11
teams. Each team has
b
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Guest
Sep 1, 2021
0
251
3
Please help me
Four equilateral triangles are constructed on the sides of a square with side length 1 as shown below. The four outer vertices are then joined to form a large square. Find the area of the large square.
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Guest
Sep 1, 2021
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234
1
Algebra
It takes four painters working at the same rate 1.25 work-days to finish a job. If only two painters are available, how many work-days will it take them to finish the job, working at the same rate? Express your answer as a mixed number.
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Guest
Sep 1, 2021
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223
1
Algebra
The sum of three different numbers is 67. The two larger numbers differ by 7 and the two smaller numbers differ by 8. What is the value of the largest number?
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Guest
Sep 1, 2021
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260
1
Geometric sequence
How do I find the common ratio in a geometric sequence, if it only gives me not only the first term but other number of terms?
Example: a3= 1/27 and a4= 1/9
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Guest
Sep 1, 2021
0
246
1
Proportion
Suppose that a is inversely proportional to b. If a = 6 when b = 3, find a when b = 8. Express your answer as a fraction.
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Guest
Sep 1, 2021
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272
1
help with math
There are three consecutive multiples of five. The sum of the first two numbers is 1,945. What are the integers?
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Guest
Sep 1, 2021
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189
0
plz help
The perpendicular bisector of the line segment connecting the points (-3,8) and (-5,-4) has an equation of the form y=mx+b. Find m+b.
Guest
Sep 1, 2021
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333
1
help with roots
What is the sum of all values of z such that z^2 = 12z - 7 + 9z - 5?
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Guest
Sep 1, 2021
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298
2
The increasing sequence of positive integers a_1, a_2, a_3,... has the property that
The increasing sequence of positive integers a_1, a_2, a_3,... has the property that
a_{n+2} = a_{n+1}+a_{n}
for all n≥1. If a_7 = 120, then find a_8.
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Guest
Sep 1, 2021
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314
0
Let f(x) = x^2-2x. How many distinct real numbers satisfy (f(f(f(c)))) = 3?
Let f(x) = x^2-2x. How many distinct real numbers c satisfy (f(f(f(c)))) = 3?
Guest
Sep 1, 2021
0
337
1
Three runners Adam, Ben, and Charles
Three runners Adam, Ben, and Charles all start at the same time for a 24 km race, and each of them runs at a constant speed. When Adam finishes the race, Ben is 8 km behind, and Charles is 12 km behind. When Ben finishes the race, how far
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Guest
Sep 1, 2021
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199
0
Algebra
I choose a random integer n between 1 and 10 inclusive. What is the probability that for the n I chose, there exist no real solutions to the equation x(x + 8) = -n? Express your answer as a common fraction.
Guest
Sep 1, 2021
Aug 31, 2021
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194
0
Probability
When I go to work, there's a 20% probability that I'll forget my office keys and a 30% probability that I'll forget my wallet. If there's a 15% probability that I forget both, then what's the probability that I arrive at work with both my office keys and
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Guest
Aug 31, 2021
0
336
1
Algebra
Find the ordered triple (p,q,r)
p - 2q = 0
q - 2r = 0
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Guest
Aug 31, 2021
0
221
1
probability
Charles flips a coin four times. What is the probability that he gets a 3-1 split? (3 heads and 1 tail, or 1 head and 3 tails)
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Guest
Aug 31, 2021
0
376
2
help geometry problem
In the figure above, line PS bisects angle QPR. We can ensure that by just adding one more condition. Which of the following
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Guest
Aug 31, 2021
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