All Questions ⁺⁰235709 Questions

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Medians

A median of a triangle is a line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are drawn below.
Note that the three medians appear to intersect at the same point! read more ..

bingboy Oct 28, 2023

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54

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+743

Inequality question

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $500$ pounds more than each of her trucks, but no more than $\frac{1}{4}$ of the total load her four trucks combined can carry. read more ..

bingboy Oct 28, 2023

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30

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+743

Algebra

Arrange the following numbers in increasing order (smallest first, biggest last):
A = 2*1/2*4*1/6
B = 12*128
C = 1*8*1/5^2 read more ..

bingboy Oct 28, 2023

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45

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+16

huh I don't get similarity

D is on side AB of ABC We know ABC similar to ACD and we know all the marked side lengths

mariaB16 Oct 28, 2023

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24

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+1443

Intercepts

A line has a slope of $m,$ and its $y$-intercept is $(0,b)$. If $m = 8$ and $b = 14,$ then what is the $x$-intercept of the line?

blackpanther Oct 28, 2023

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54

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+1443

Distance formula

The distance between the points $A$ and $B$ is $\sqrt{5}.$ If $A = (a,-1)$ and $B = (2,2a-7),$ then find the sum of all possible values of $a.$

blackpanther Oct 28, 2023

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40

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+1443

Help with lines

Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 8x - 3y$.

blackpanther Oct 28, 2023

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35

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+1443

Linear equations

A line passes through the points $P$ and $Q.$ If $P = (-8,2)$ and $Q = (4,-7),$ then write the equation of this line in the form $Ax + By = C,$ where $A$, $B$, and $C$ are integers with greatest common divisor $1,$ and $A$ is positive.

blackpanther Oct 28, 2023

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25

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+1911

Help trig!

A tall pole is constructed in a flat parking lot; the pole stands straight up and forms a right angle with the ground. The pole casts a shadow, as shown below. The length of the shadow is $22$ feet. Find the height of the pole, to the nearest read more ..

tomtom Oct 28, 2023

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44

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+1911

Degrees and radians

Degrees are not the only units we use to measure angles. We also use radians. Just as there are $360^\circ$ in a circle, there are $2\pi$ radians in a circle. Compute $\cos \frac{2 \pi}{7},$ where the angle $\frac{2 \pi}{7}$ is in radians.<read more ..

tomtom Oct 28, 2023

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36

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+1911

Trig equation

Let $\theta$ be an acute angle. If $\cos \theta = \frac{3}{11},$ then what is $\sin \theta?$

tomtom Oct 28, 2023

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+1911

how to solve

Let $x$ be an acute angle such that $\tan x + \sec x = 2 \cot x.$ Find $\cos x$.

tomtom Oct 28, 2023

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61

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+1911

trig question

Find sin \angle ACB.
Find \sin \angle ABC.

tomtom Oct 28, 2023

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18

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+16

I don't understand this

Find a six-digit multiple of 64 that consists only of the digits 1 and 2.
how do you do this? the lcm can only be 1 and 64 but how does that help?

mariaB16 Oct 28, 2023

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+16

help

the number 2^29 contains exactly 9 distinct digits. Which digit is missing? (it has all the numbers but 1 number that can be: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0)

mariaB16 Oct 28, 2023

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63

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help with percent

A magician makes potions by combining maple syrup from a magical maple tree with ordinary water. The magician starts with a large supply of two potions: a red potion, which is $50\%$ magical syrup by volume (and the rest is just water), and blue potion, read more ..

blackpanther Oct 28, 2023

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58

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+1443

system

The system of equations
\[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 1, \quad \frac{yz}{y + z} = 5\]
has exactly one solution. What is $z$ in this solution?

blackpanther Oct 28, 2023

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28

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+1443

algebra

Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $10$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $4$ times as much money as read more ..

blackpanther Oct 28, 2023

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52

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+1443

Percent question

In a store window, there was a box of berries having a total weight of $200$ kg. The berries were $95\%$ water, by weight. After two days in the sun, the water content of the berries was only $90\%$, by weight. What was the total weight read more ..

blackpanther Oct 28, 2023

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18

1

+82

Help!

Valeria has three coins, each of which has a probability of 2/3 of coming up heads. On her first turn, she flips all three coins. If all three come up heads, then she stops. Otherwise, for her second turn, she flips any coins that came up tails on read more ..

xxyoohoo Oct 28, 2023

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29

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+1364

Counting

Plz help me
Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $100,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)

sandwich Oct 28, 2023

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+82

Help!

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers (1, 2, 3, 4, 5, 6, and 7). Among all the cards of each color, there is exactly one card labeled read more ..

xxyoohoo Oct 28, 2023

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12

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+1364

Counting

I need help with this
Sam writes down the numbers $1,$ $2,$ $\dots,$ $315,$ $316,$ $317,$ $\dots,$ $249,$ $250.$
(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down at random. read more ..

sandwich Oct 28, 2023

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36

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+1364

Counting

Help me I'm stuck
The six faces of a cube are painted black. The cube is then cut into $3^3$ smaller cubes, all the same size.
(a) How many of the smaller cubes have exactly one black face?
(b) How read more ..

sandwich Oct 28, 2023

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