All Questions ⁺⁰230576 Questions

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527

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Hi this is repost, last time the guest only gave an answer, pls give an explanation

For some real number $r,$ the polynomial $8x^3 - 4x^2 - 42x + 45$ is divisible by $(x - r)^2.$ Find $r.$

Guest Jan 2, 2021

+2

541

4

+239

Algebra question

An ambulance travels at 40 mph and can follow a 20-mile route making no stops to get to the hospital. A helicopter travels at one mile per minute, and the air route is 15 miles to get to the same hospital. However, the helicopter takes three minutes for read more ..

DewdropDancer Jan 2, 2021

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1267

1

Help on Alcumus Problem

Ryan has 3 red lava lamps and 3 blue lava lamps. He arranges them in a row on a shelf randomly, then turns 3 random lamps on. What is the probability that the leftmost lamp on the shelf is red, and the leftmost lamp which is turned on is also red?
read more ..

Guest Jan 2, 2021

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554

1

Help Sum and Product of roots.

The nonzero roots of the equation $x^2 + 6x + k = 0$ are in the ratio $2:1$ . What is the value of $k$ ?

Guest Jan 2, 2021

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388

1

Please Help If You Can

I may have thought a little to deep into this on how to solve for it, but here is the question:

What is the sum of the positive integers less than 100 that cannot be expressed as the sum of two or more consecutive positive integers? read more ..

Guest Jan 2, 2021

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883

2

help plz

In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left?

plz help i am stuck

Guest Jan 2, 2021

0

496

1

counting problem

An 8 by 8 checkerboard has alternating black and white squares. How many distinct squares, with sides on the grid lines of the checkerboard (horizontal and vertical) and containing at least 12 black squares, can be drawn on the checkerboard?
read more ..

Guest Jan 2, 2021

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463

1

triangles

In the figure shown, segment AB is parallel to segment YZ. If AZ = 42 units, BQ = 8 units, and QY = 28 units, what is the length of segment QZ?

read more ..

Guest Jan 2, 2021

Jan 1, 2021

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429

5

geometry question

A square sheet of paper has area 6 cm^2. The front is white and the back is black. When the sheet is folded so that point A rests on the diagonal as shown, the visible black area is equal to the visible white area. What is the visible black area, read more ..

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Guest Jan 1, 2021

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329

1

help with geo

Earth is roughly 8000 miles in diameter.

(a) I'm riding in a hot air balloon 1/2 mile above the surface of earth. Approximately how far away is the horizon? (In other words, how far away is the farthest point on the surface of Earth read more ..

Guest Jan 1, 2021

0

393

1

counting

Four politicians and four lawyers attend a party. Each politician shakes hands exactly once with everyone, and each lawyer shakes hands exactly twice with each politician. How many handshakes take place?

Guest Jan 1, 2021

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418

1

circle problem

A and B are two points on a circle with center O, and C lies outside the circle, on ray AB. Given AB = 24, BC = 30, and OA = 16, find OC.

Guest Jan 1, 2021

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402

1

maximum/minimum

The numbers 1-10 are to be entered into the 10 boxes shown below, so that each number is used exactly once:
\[P = (\square + \square + \square)(\square + \square + \square + \square + \square + \square + \square).\]
What is the maximum value read more ..

Guest Jan 1, 2021

0

397

1

plz help

The outcomes of a match are that a hockey team can
either win, draw or lose. The team plays 2 matches

(a)How many different outcomes are there read more ..

Guest Jan 1, 2021

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454

3

geometry

Let triangle ABC be a right triangle such that B is a right angle. A circle with diameter of BC meets side AC at D. If the area of ABC is 180 and AC = 35, then what is BD?

Guest Jan 1, 2021

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484

1

multiples of 3 and all multiples of 4

If all multiples of 3 and all multiples of 4 are removed from the list of whole numbers 1 through 1200, then how many whole numbers are left?

Guest Jan 1, 2021

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516

3

+12

alg

A line through the points (2, -9) and (j, 17) is parallel to the line 2x + 3y = 21. What is the value of j?
Can someone help??? needed asap (with explanation too please!)

Cryingcathuehue Jan 1, 2021

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295

1

probability

From a standard deck of cards, what is the probability of choosing a spade, then a 7?

Guest Jan 1, 2021

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375

1

coordinate geometry

Three Points on a circle: (-17,-2), (0,15), (9,-2). What is the equation of the circle?

Guest Jan 1, 2021

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345

1

Please Help

A map of the town that Annie and Barbara live in can be represented by the Cartesian plane. Annie is located at $(3,5)$ and Barbara says she is located at $(-6,2)$. They agree to meet the midpoint of their current locations. However, read more ..

Guest Jan 1, 2021

0

281

0

quadratic

If the polynomial x^2+bx+c has exactly one real root and b=c+7, find the value of the product of all possible values of c.

Guest Jan 1, 2021

0

407

1

Please help quick

What is the value of $\frac1x + \frac1y$ if $x = \frac23$ and $y = \frac34$? Express your answer as a mixed number.

Guest Jan 1, 2021

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