All Questions ⁺⁰237827 Questions

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triangle

A 30-60-90 triangle is drawn on the exterior of an equilateral triangle so the hypotenuse of the right triangle is one side of the equilateral triangle. If the shorter leg of the right triangle is 6 units, what is the perimeter of the equilateral read more ..

Guest Oct 31, 2022

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189

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system

Find the value of a so that the system has no solutions.

y = 11x + 14
2x - 4 = ax + 7 - 3x read more ..

Guest Oct 31, 2022

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243

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+22

The correlation coefficient between x and y is approximately 0.848.

The correlation coefficient between x and y is approximately 0.848.
What percent of the variation in y cannot be explained by the variation in x?
Enter your answer, rounded to the nearest tenth, in the read more ..

Sarcasticcarma Oct 31, 2022

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200

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Algebra

Find the product CD of the integers C and D for which
\[\frac{C}{x-3}+\frac{D}{x+8}=\frac{4x-25}{x^2+5x-24}\]
for all real values of x except -8 and 3.

Guest Oct 31, 2022

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204

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Base numbers

If 554_b is the base b representation of the product of 34_b and 15_b, then find b.

Guest Oct 31, 2022

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197

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functions

Suppose that f(x) and g(x) are functions on R such that the range of f is [-5,3], and the range of g is [-2,1]. The range of f(x) + g(x) is [a,b]. What is the largest possible read more ..

Guest Oct 31, 2022

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182

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tangent

A line is tangent to a circle at the point (2, 5). A parallel line is tangent to the circle at (9, 12). What is the common slope of the two lines? Express your answer as a common fraction.

Guest Oct 31, 2022

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222

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counting

The product of the digits of 3214 is 24. How many distinct four-digit positive integers are there such that the product of their digits equals 18?

Guest Oct 31, 2022

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282

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coordinates

There are four points that are 5 units from the line y=13 and 13 units from the point (1,18). What is the sum of the x and y and coordinates of all four of these points?

Guest Oct 31, 2022

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181

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Number Theory

What is $3^{-7} + 3^{-8} \pmod{25}$? Express your answer as an integer from $0$ to $24$, inclusive.

Guest Oct 31, 2022

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189

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Functions

If the point (2,9) is on the graph of y=f(x), then there is one point which must be on the graph of y = 1/f(x). What is the sum of that point's coordinates?

Guest Oct 31, 2022

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256

1

Chelsea took out three loans for a total of

Chelsea took out three loans for a total of
$76,000
to start an organic orchard. Her business-equipment loan was at an interest rate of 11%, the small-business loan was at an interest rate of
4%, read more ..

Guest Oct 31, 2022

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205

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Altitudes

How many units are in the sum of the lengths of the three altitudes in a triangle with sides 5, 12, and 13?

Guest Oct 31, 2022

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270

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Lattice points

If x >= 0 and y >= 0, how many lattice points does the line y = -x + 18 pass through? (A lattice point is a point with integer coordinates.)

Guest Oct 31, 2022

Oct 30, 2022

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226

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number theory

The sum of three consecutive positive integers is a perfect cube. Find the least possible value of the smallest number, assuming that the middle number ends in at least two zeros.

Guest Oct 30, 2022

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245

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help math

Given any positive even integer, x, the positive difference between the smallest odd number greater than 9x - 2 and the largest odd number less than 8x + 3 can be written in the form ax + b. What is a + b?

Guest Oct 30, 2022

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235

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graphing

The graph of y = f(x) is shown in red below. For how many values of c is f(c) = -1?

read more ..

Guest Oct 30, 2022

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247

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Coordinates

Given that the point (9,7) is on the graph of y=f(x), there is one point that must be on the graph of 2y = 2f(x). What is the sum of coordinates of that point?

Guest Oct 30, 2022

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300

2

+96

For b where should I plug in my numbers for the equation y=mx+b

A group of people are mowing 12 lawns. Each lawn takes 1 hour for 1 person to mow, and multiple people can mow the same lawn at once.
(a) How long would it take a group of 5 people to mow 12 lawns? I think this is 2 hours and 24 minutes idk where read more ..

coolkidslovemath1982 Oct 30, 2022

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227

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Function

Suppose that f(x) and g(x) are functions on R such that the range of f is [-5,3], and the range of g is [-2,1]. The range of f(x) + g(x) is [a,b]. What is the largest possible value of b?

Guest Oct 30, 2022

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187

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Graphing

The equation y = (x + A)/(Bx + C), where A,B, and C are integers, is shown below. What is A + B + C?

Guest Oct 30, 2022

+1

259

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Algebra

Let a, b, c be the real roots of x^3 - 4x^2 - 32x + 17 = 0. Solve for x in (x - a) + (x - b) + (x - c) = 0.

Guest Oct 30, 2022

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224

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quadratic

Each solution to x^2 + 5x + 8 = x + 1 can be written in the form x = a+bi, where a and b are real numbers. What is a + b^2?

Guest Oct 30, 2022

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244

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help cphill

find z for which

$\dfrac{2\sqrt{z}-3}{\sqrt{z}-1} - 1 = \dfrac{3\sqrt{z}-1}{1-\sqrt{z}}$

Guest Oct 30, 2022

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