All Questions ⁺⁰237784 Questions

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311

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Analytic geometry

A circle passes through the point (12,0), and is tangent to the y-axis at the point (0,8). Find the radius of the circle.

Guest Jul 16, 2022

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210

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right triangle

The side lengths of a right triangle measure x, x + y, and x + 2y units where 0 < y < x. What is the value of y/x? Express your answer as a common fraction

Guest Jul 16, 2022

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252

1

gcd

What is the greatest common divisor of 121^2 + 233^2 + 345^2 and 120^2 + 232^2 + 348^2?

Guest Jul 16, 2022

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214

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Counting

A solid 6-by-6-by-6 cube is constructed from unit cubes and the entire outer surface is painted. What fraction of the unit cubes has zero painted faces? Express your answer as a common fraction.

Guest Jul 16, 2022

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288

2

Coordinates

Given that x+y=13 and xy=-24, find the distance from the point (x,y) to the origin.

Guest Jul 16, 2022

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272

1

number theory

There are 12 ordered pairs of integers (x,y) that satisfy x^2 + y^2 = 25. What is the sum of all the x-values?

Guest Jul 16, 2022

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272

3

Algebra

On a number line, what number is two-thirds of the way from 5/8 to 4/7? Express your answer as a common fraction.

Guest Jul 16, 2022

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268

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Algebra

If the cube of a positive number is three times the square of the number times two, what is the number?

Guest Jul 16, 2022

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312

2

geometry

In the figure, triangle ABC is inscribed in a semicircle with diameter AC of length 20 inches, and AB = 10 inches. When the area of the shaded region, in square inches, is expressed in the form a*pi - b what is the value read more ..

Guest Jul 16, 2022

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352

4

Heeeeelp ASAP

Yan rolls 7 standard six-sided dice. What is the probability that at least one pair of her dice has sum 7? Express your answer as a decimal to the nearest thousandth.

Guest Jul 16, 2022

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215

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system

If 3a + b + c = -3, a+3b+c = 9, a+b+3c = 1, then find abc.

Guest Jul 16, 2022

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226

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Proportion

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 read more ..

Guest Jul 16, 2022

0

269

1

Ratios

An 8x8 square is divided into 64 unit squares and each unit square is painted one of four possible colors. The ratio of numbers of squares of each color is 1:2:5:x How many integer values could x have?

Guest Jul 16, 2022

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209

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Function

If
f(x) = 2x - 5 if x >= 0
f(x) = 7x - 1 if x < 0
read more ..

Guest Jul 16, 2022

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256

1

sequence

The sequence a_n has the property that a_n = a_{n-1} + 2a_{n-2} for n >= 2. It is also true that a_0 = 4 and a_3 = 6. What is the value of a_5? Express your answer as a common fraction.

Guest Jul 16, 2022

+1

281

1

Algebra

At a concert for the band Algal Rhythms, 75% of the tickets were sold at the full price of 20 dollars. The remaining 25% of tickets were sold at a discounted price of 15 dollars. What was the average selling price of a ticket at the read more ..

Guest Jul 16, 2022

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207

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trig

Find the 3 smallest positive x-intercepts of the graph of
y = cos 12x + cos 16x + cos 20x
and list them in increasing order.

Guest Jul 16, 2022

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277

1

Algebra

Michael is baking cookies. His cookie recipe calls for 1 4/3 cups sugar and makes 24 cookies. If he wants to scale the recipe to make exactly 18 cookies, how many cups of sugar will he need? Express your answer as a mixed number.

Guest Jul 16, 2022

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271

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help math

In Olympic diving, there are seven judges who rate the performance of each dive on a scale from 0 to 10, using half-point increments, where 0 is a failed attempt and 10 is excellent. After each of the seven judges has scored the dive, the two read more ..

Guest Jul 16, 2022

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208

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Inverse function

Let
f(x) = k(x) if x >= 3
f(x) = 6 - x if x < 3
read more ..

Guest Jul 16, 2022

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314

0

Algebra

A nonzero number of goats, each with four legs, and a nonzero number of chickens, each with two legs, are living on a farm. Between all the animals, there are 1/3 as many heads as there are legs. Assuming that all animals have all of their limbs, what read more ..

Guest Jul 16, 2022

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209

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sequence

A sequence is defined as shown for n = 3, 4, 5, ... What will be the first number in this sequence that is NOT prime?

a_1 = 11
a_2 = 2 read more ..

Guest Jul 16, 2022

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201

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trig problem

If and x = 1/2, then compute xy + x + y.

Guest Jul 16, 2022

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262

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math problem

Follow these steps:

1. Choose the two digit positive integer 23.
2. Multiply it by 158.
3. Add the digits of the number obtained.
4. If the sum resulting from step 3 has more than one digit, repeat step 3. If read more ..

Guest Jul 16, 2022

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