All Questions

161

Number Theory

Given that a is a multiple of 456, find the greatest common divisor of 3a^3 + a^2 + 4a + 57

Guest Jan 24, 2022

179

Geometry

Let T be a point inside square EFGH such that TE = sqrt(6), TF = 2*sqrt(3), and TG = . Find angle ETF, in degrees.

Guest Jan 24, 2022

407

What is the square of the imaginary part of the center of the circle with the equation |z-i|/|z-1|=3

What is the square of the imaginary part of the center of the circle with the equation
|z-i|/|z-1|=3

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Guest Jan 24, 2022

225

fractions

Karly is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need. If each yard of fabric costs $7.98, how much read more ..

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Guest Jan 24, 2022

592

Karly is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress. If she has 3

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Guest Jan 24, 2022

200

Logarithms and Exponents...

I know the domain and range for . However, I don't completely understand how that was achieved. Can someone please help me?

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Guest Jan 24, 2022

223

Quadratic

What is the maximum value of 4(x + 7)(12 - x)?

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Guest Jan 24, 2022

230

Quadratic

When the expression -2x^2 - 10x - 83 is written in the form a(x + d)^2 + e , where a, d, and e are constants, then what is the sum a + d + e?

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Guest Jan 24, 2022

227

Quadratic

If we express 6x^2 - 2x - 3 in the form a(x - h)^2 + k, then what is a + h + k?

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Guest Jan 24, 2022

218

Quadratic

The quadratic x^2 - 8x + 66 can be written in the form (x + b)^2 + c, where b and c are constants. What is b + c?

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Guest Jan 24, 2022

179

Help please

Let ABCDEFGH be a rectangular prism, where EF=4, EH=5, and EA=6. Find the volume of pyramid CFAH.
I know that this has already been answered somewhere else, but I want the answer as a radical or fraction.
Thanks!

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Guest Jan 24, 2022

168

Pls help thanks in advance!

18 boys and 9 girls shared some sweets equally. Each boy gave 1/4 of his sweets to the girls. As a result, each girl received 12 more sweets than each boy. Find the total number of sweets shared at first.

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Guest Jan 24, 2022

208

Algebra

If f(0) = 0, f(1) = 2, f(2) = 9, and ax^2+bx+c=0, what is the value of f(3)?

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Guest Jan 24, 2022

208

Polynomial

What is the coefficient of x^3 when 24x^4 + 6x^3 + 4x^2 + 7x - 5 is multiplied by 6x^3 + 3x^2 - 3x + 4 and the like terms are combined?

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Guest Jan 24, 2022

229

Proportion

The value of y varies inversely as x^2 and when x = 24, y = 15 . What is x when y =?

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Guest Jan 24, 2022

352

Consider the following 8 numbers, where one labelled x is unknown. 14, 28, 28, x, 36, 6, &

Consider the following 8 numbers, where one labelled x is unknown.
14, 28, 28, x, 36, 6, 4, 50
Given that the range of the numbers is 59, work out 2 values of x. read more ..

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Guest Jan 24, 2022

204

+82

Absolute value function question

The function f(x) < 0 when -2 < x < 1. Which of the following is true about the function |f(x) | ?

a) |f(x) | = - f(x) when -1 < x < 2
read more ..

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JuliaJ5 Jan 24, 2022

207

Quadratic

The amount of money a certain company makes can be represented by the graph y = x^2 - 18x - 33 , where x is the quantity produced. What is the smallest quantity at which the company can produce to break even or make a profit?

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Guest Jan 24, 2022

237

Function

The function f is defined by f(n) = f(n − 1) + f(n − 2). It is also true that f(1) = 3 and f(2) = 10. What is the value of f(6)

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Guest Jan 24, 2022

262

Help 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 Jan 24, 2022

303

+23

Question! Please Help!

Hi friends! Recently, I've been working on many mock MATHCOUNTS sessions and found myself stuck on this question:

Find the least positive integer b such that the value of the expression (4b + 9)(6b + 13) is a perfect read more ..

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DreamingFox1214 Jan 24, 2022

244

If two triangles are similar, then the lengths of corresponding medians are in the same ratio as the lengths of corresponding sides.

Must be proven algebraically.

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Guest Jan 24, 2022

205

Algebra

Find all solutions to the equation 6x^2 - 31x + 42 = 0. If you find more than one, then list the values separated by commas. If the solutions are not real, then they should be written in a + bi form.

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Guest Jan 24, 2022

236

Proportions

The value of y varies inversely as x^2 and when x = 24, y = 15 . What is x when y = 13?

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Guest Jan 24, 2022

All Questions ⁺⁰225611 Questions

Number Theory

Geometry

What is the square of the imaginary part of the center of the circle with the equation |z-i|/|z-1|=3

fractions

Karly is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress. If she has 3

Logarithms and Exponents...

Quadratic

Quadratic

Quadratic

Quadratic

Help please

Pls help thanks in advance!

Algebra

Polynomial

Proportion

Consider the following 8 numbers, where one labelled x is unknown. 14, 28, 28, x, 36, 6, &

Absolute value function question

Quadratic

Function

Help counting

Question! Please Help!

If two triangles are similar, then the lengths of corresponding medians are in the same ratio as the lengths of corresponding sides.

Algebra

Proportions

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