All Questions ⁺⁰234662 Questions

0

3

1

+467

Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $3.15. Gary orders a bagel and a muffin, which comes out to $3.50. Larry orders a piece of toast, two bagels, and three muffins, which comes out to $8.15. How many cents does read more ..

ChiIIBill Jul 9, 2024

-1

5

2

+467

Algebra

I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 50 miles per hour instead, then I would have arrived 45 minutes later. How many miles did I drive?

ChiIIBill Jul 9, 2024

0

6

2

+820

Number Theory

How many lattice points (points with integer coordinates) are on the line segment whose endpoints are $(3,17)$ and $(82,150)?$ (Include both endpoints in your count.)

Hi6942O Jul 9, 2024

0

3

4

+820

Number Theory

Find the units digit of $13*287$.

Hi6942O Jul 9, 2024

0

6

1

+820

Number Theory

Find the last three digits of $35*{781}$.

Hi6942O Jul 9, 2024

0

10

1

+820

Number Theory

Select all the integers that are congruent to $2$ modulo $7.$
1, 2, 3, 4, 5, 6, 7

Hi6942O Jul 9, 2024

0

5

1

+820

Number Theory

How many of the $1000$ smallest positive integers are congruent to $5$ modulo $171?$

Hi6942O Jul 9, 2024

0

12

0

+868

Number Theory

(This is a continuation of the problem above. See part (a) for an explanation of the planet Enigma and its currency.)
In how many ways can a resident of Enigma use only bills to purchase a single math book page that costs 5 confusions? read more ..

Rangcr897 Jul 9, 2024

0

12

0

+868

Number Theory

(This is a continuation of the problem above. See part (a) for an explanation of the planet Enigma and its currency.)
In how many ways can a resident of Enigma use only bills to purchase a gyroscope that costs $30$ confusions?
<read more ..

Rangcr897 Jul 9, 2024

0

5

1

+868

Number Theory

On planet Enigma, the residents use a currency called the confusion. There are only two confusion bills on Enigma, one worth $7$ confusions and the other worth $12$ confusions. There are also some coins of smaller value, but each weighs over read more ..

Rangcr897 Jul 9, 2024

0

7

1

+1706

Algebra

Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$

ABJeIIy Jul 9, 2024

0

4

1

+1706

Algebra

Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___

ABJeIIy Jul 9, 2024

0

13

0

+1706

Algebra

Write the equation of the line below in the form Ax+By=C, where A, B, and C are integers with greatest common divisor 1 and A is positive.
The line passes through (-2,5) and (9,1).

ABJeIIy Jul 9, 2024

0

6

1

+1706

Algebra

The system of equations
\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 1, \quad \frac{yz}{y + z} = 2
has exactly one solution. What is $z$ in this solution?

ABJeIIy Jul 9, 2024

+2

5

3

+19

Algebra

DeluluSunshine Jul 9, 2024

0

5

2

+1706

Algebra

In a store window, there was a box of berries having a total weight of 200 kg. The berries were 99% 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 of read more ..

ABJeIIy Jul 9, 2024

0

10

0

+1706

Algebra

A mathematician works for t hours per day and solves p problems per hour, where and are positive integers. One day, the mathematician drinks some coffee and discovers that he can now solve 4p+5 problems per hour. In fact, he only works read more ..

ABJeIIy Jul 9, 2024

0

11

0

+673

Geometry

In trapezoid EFGH, \overline{EF} \parallel \overline{GH}, and P is the point on \overline{EH} such that EP:PH = 1:2. If the area of triangle PEF is 6, and the area of triangle PGH is 6, then find the area of trapezoid EFGH.

magenta Jul 9, 2024

Jul 8, 2024

0

5

1

+673

Geometry

Altitudes AD and BE of acute triangle ABC intersect at point H. If angle ABH = 30 and angle DAC = 45, then what is angle HCA in degrees?

magenta Jul 8, 2024

0

5

2

+4

I need help please

Find the value of that maximizes

theguest Jul 8, 2024

0

7

2

+40

algebra??

For a certain value of , the system
has no solutions. What is this value of ?

onyulee Jul 8, 2024

0

11

1

+1323

Algebra

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

blackpanther Jul 8, 2024

0

9

0

+1323

Algebra

Let
f(x) = \left\lfloor\frac{2 - 3x}{3x + 1}\right\rfloor.
Evaluate f(1)+f(2) + f(3) + \dots + f(999)+f(1000). (This sum has 1000 terms, one for the result when we input each integer from 1 to 1000 into f.)

blackpanther Jul 8, 2024

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