All Questions ⁺⁰235709 Questions

0

12

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+1678

Proportion

All members of our painting team paint at the same rate. If $45$ members can paint a specific wall in $60$ minutes, then how long would it take $12$ members to paint the same wall, in minutes?

ElectricPavlov ●

wiseowl Jan 13, 2024

0

24

1

+1678

Algebra problem

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

wiseowl Jan 13, 2024

0

23

2

+1364

Solve

Find all values of $a$ that satisfy the equation
\[\frac{a}{3} + 1 = \frac{a + 3}{a} - \frac{a^2 + 2}{a}.\]

sandwich Jan 13, 2024

0

20

1

+1364

Algebra

Five times a number is divided by $2$ more than that number. If the result is $6,$ then what was the original number?

ElectricPavlov ●

sandwich Jan 13, 2024

0

46

1

+1364

Algebra

If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $10$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

ElectricPavlov ●

sandwich Jan 13, 2024

0

31

1

+1364

Algebra

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $7$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

sandwich Jan 13, 2024

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49

0

+479

Counting question

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students read more ..

ChiIIBill Jan 13, 2024

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39

0

+479

Counting question

North High School has a math club and a science club. There are a students in the math club and b students who are members of both clubs. The total number of students is c. Find an expression for the total number of students read more ..

ChiIIBill Jan 13, 2024

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21

0

+1443

help with algebra

Bob can run $1$ mile in the same time that Gill can run $\frac56$ of a mile. Cindy can run $\frac35$ of a mile in the same time that Gill can run $2$ miles. If each person runs at those rates, how many miles will Cindy run in the time it takes Bob to complete read more ..

blackpanther Jan 13, 2024

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21

1

+1443

Rates

When Helen jogs, every $20$ minutes she checks the total distance she traversed. One day, the first time she checked, Helen had jogged a distance of $2.5$ miles, the second time she checked, she had jogged a total distance of $3.8$ miles, and the third read more ..

blackpanther Jan 13, 2024

-1

28

1

+1443

need help

One car left a city at 2:00 PM and traveled at an average speed of 40 miles per hour. A second car left at 5:00 PM, traveled the same route and overtook the first car at 8:30 PM. What was the average speed in miles per hour of the second car?
<read more ..

blackpanther Jan 13, 2024

-1

34

1

+1443

Algebra

Joey and Mike live 300 miles from each other at opposite ends of State Highway 1. Driving toward each other on State Highway 1, they met in the central part of the state. Joey left home at 7:30 a.m. traveling at an average speed of 60 mph and Mike left read more ..

blackpanther Jan 13, 2024

-1

16

1

+1443

Rates

If Mark drives for 4 hours at 60 miles per hour and then drives another 5 hours at 80 miles per hour, what is his average speed, in miles per hour, for the trip?

blackpanther Jan 13, 2024

0

49

0

+1439

Circle problem

Four circles of unit radius are drawn with centers (1,0), (-1,0),(0,1), and (0,-1). A circle with radius 2 is drawn with the origin as its center. What is the area of all points that are contained inthe large circle but outside the four unit circles? (Express read more ..

kittykat Jan 13, 2024

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32

0

+479

Digits

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. What is the probability that Sam chooses read more ..

ChiIIBill Jan 13, 2024

0

53

0

+479

Triangle

As shown in the diagram angle BAC=90 degrees. Let X be the foot of the altitude from A to overline BC, AY be the bisector of angle BAC, and AZ be the median of triangle ABC. If angle AXZ = 80 degrees, then what is the measure of angle AZX in read more ..

ChiIIBill Jan 13, 2024

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42

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+479

Counting

Starting with the A moving one letter at a time vertically, horizontally, or diagonally, how many different paths spell ARCH?
A
RRR
CCCCC read more ..

ChiIIBill Jan 13, 2024

0

34

0

+479

Minimum

Let x and y be nonnegative real numbers. If xy = \frac{2}{5}, then find the minimum value of 6x^2 + \frac{3}{5}y^2 - 2x + 8y.

ChiIIBill Jan 13, 2024

0

43

1

+479

Domain

Let
f(x) = \frac{(2x + 3)(x - 7)}{\sqrt{x}}
Find the domain of f(x). Give your answer using interval notation.

ChiIIBill Jan 13, 2024

-1

18

1

+306

Polygon

The regular polygon below is cut out of a flat piece of cardboard. The polygon is then placed back into the hole.
In how many ways can the polygon be placed back into the hole, if the polygon can be rotated, but not reflected? read more ..

nathanl6656 Jan 13, 2024

+1

43

1

+290

Problem

A car passes point A driving at a constant rate of 60 km per hour. A second car, travelling at a constant rate of 75 km per hour, passes the smae point A a while later and then follows the first car. It catches the first car after travelling a distance read more ..

ElectricPavlov ●

DS2011 Jan 13, 2024

+1

29

2

+290

Problem

The product of four consecutive positive integers is 1 less than 461². What is the least of these four numbers?

ElectricPavlov ●●

DS2011 Jan 13, 2024

+1

45

1

+290

Problem

A man who weighed 220 pounds completed a diet-and-exercise program. After the 12-week program, his body fat percentage had dropped from 30% to 20%, and his eight had dropped to 200 pounds. If every part of his body that is not fat or muscle has a constant read more ..

DS2011 Jan 13, 2024

+1

50

1

+290

Problem

Let AXYZB be a convex pentagon inscribed in a semicircle of diameter AB. Denote by P,Q,R,S the feet of the perpendiculars from Y onto lines AX, BX, AZ, BZ respectively. Prove that the acute angle formed by lines PQ and RS is half the size of , read more ..

DS2011 Jan 13, 2024

+1

28

1

+290

Problem

Le Bron has three pins, labeled A, B, and C, respectively, located at the origin of the coordinate plane. In a move, Le Bron may move a pin to an adjacent lattice point at distance 1 away. What is the least number of moves that Le Bron can make read more ..

DS2011 Jan 13, 2024

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