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Post New Question
All Questions
+0
236075 Questions
0
11
1
+478
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 ..
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ChiIIBill
Jul 9, 2024
-1
14
2
+478
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?
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ChiIIBill
Jul 9, 2024
0
14
2
+976
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.)
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Hi6942O
Jul 9, 2024
0
9
4
+976
Number Theory
Find the units digit of $13*287$.
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Hi6942O
Jul 9, 2024
0
16
1
+976
Number Theory
Find the last three digits of $35*{781}$.
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Hi6942O
Jul 9, 2024
0
19
1
+976
Number Theory
Select all the integers that are congruent to $2$ modulo $7.$
1, 2, 3, 4, 5, 6, 7
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Hi6942O
Jul 9, 2024
0
12
1
+976
Number Theory
How many of the $1000$ smallest positive integers are congruent to $5$ modulo $171?$
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Hi6942O
Jul 9, 2024
0
23
0
+948
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
24
0
+948
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
12
1
+948
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
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Rangcr897
Jul 9, 2024
0
16
1
+1839
Algebra
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$
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ABJeIIy
Jul 9, 2024
0
10
1
+1839
Algebra
Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
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ABJeIIy
Jul 9, 2024
0
27
0
+1839
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
25
1
+1839
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?
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ABJeIIy
Jul 9, 2024
+2
13
3
+19
Algebra
Fully simplify
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DeluluSunshine
Jul 9, 2024
0
12
2
+1839
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
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ABJeIIy
Jul 9, 2024
0
19
0
+1839
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
19
0
+862
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
12
1
+862
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?
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magenta
Jul 8, 2024
0
14
2
+4
I need help please
Find the value of that maximizes
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theguest
Jul 8, 2024
0
16
2
+40
algebra??
For a certain value of , the system
has no solutions. What is this value of ?
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onyulee
Jul 8, 2024
0
24
1
+1520
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
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blackpanther
Jul 8, 2024
0
21
0
+1520
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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