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Post New Question
All Questions
+0
237263 Questions
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50
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+1556
triangle
Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle ABP$, and $\angle ABC - \angle BAC = 42^\circ$. Find $\angle PBC$ in degrees.
kittykat
Mar 9, 2024
0
32
1
+1556
Circle
In the diagram below, chords $\overline{AB}$ and $\overline{CD}$ are perpendicular, and meet at $X.$ Find the diameter of the circle.
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kittykat
Mar 9, 2024
0
30
2
+1556
Sector
A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?
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kittykat
Mar 9, 2024
0
67
2
+2729
Algebra
Find all solutions of the equation
|x^2 - 30x - 1| + |x^2 - 30x + 29| = 30
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LiIIiam0216
Mar 9, 2024
0
29
1
+2729
help algebra
(1) Let a_1, a_2, a_3 be real numbers such that
|a_1 - a_2| + 2 |a_2 - a_3| + 3 |a_3 - a_1| = 1.
What is the largest possible value of |a_1 - a_2|?
(2) Let a_1, a_2, a_3, \dots, a_{10} be real numbers such that
read more ..
hairyberry
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LiIIiam0216
Mar 9, 2024
0
49
1
+2729
need help with sum
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.)
hairyberry
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LiIIiam0216
Mar 9, 2024
0
31
2
+363
algebra
Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 120 meters per hour when walking across flat ground, and 150 meters per hour when walking downhill. One day, Carissa walks across Boston
read more ..
Tiggsy
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Lilliam0216
Mar 9, 2024
0
27
2
+40
percent square puzzle
In the percent square below, you must fill in every empty square (including shaded squares) so that:
• Each square contains a positive digit (1-9). Digits may be reused.
• The percent next to a row gives the percent of the row sum contained
read more ..
Tiggsy
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onyulee
Mar 9, 2024
Mar 8, 2024
0
43
0
+4
HOW DO I SOLVE THIS!! RESPOND QUICK PLEASE QUICK QUICK QUICK
A new road that connects Uniontown to Springville is 4 1/3 miles long. What is the change in distance when using the new road instead of the dirt roads? Write your answer as a mixed number.
BrooklynSBadger
Mar 8, 2024
0
36
0
+52
Please help!!
A series of locks manages the water height along a water source used to produce energy. As the locks are opened and closed, the water height between two consecutive locks fluctuates.
The height of the water at point B located between two
read more ..
xXValeXx
Mar 8, 2024
0
43
1
+52
The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the number of months
The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the number of months since January 2001. (m = 0 represents January 2001.)
A
read more ..
hairyberry
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xXValeXx
Mar 8, 2024
0
41
1
+85
Algebra
Can anyone solve this?
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Akhaim1
Mar 8, 2024
-1
26
1
+1926
System problem
For a certain value of $k$, the system
x + y + 8z = 10,
x + 5y + 3z = 7 + 7z - 4y,
kx + 2z = 3 - 4y
has no solutions. What is this value of $k$?
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tomtom
Mar 8, 2024
0
34
2
+85
Geometry Questions
Please solve these!
1.
2.
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Akhaim1
Mar 8, 2024
-1
39
1
+1926
System question
For certain values of k and m, the system
3a + 2b = 12 - 5a + 7b
8a + 6b = k - a - mb
has infinitely many solutions (a,b). What are k and m?
read more ..
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tomtom
Mar 8, 2024
-1
31
1
+1926
System
The system of equations
\frac{xy}{x + y} = 0, \quad \frac{xz}{x + z} = 0, \quad \frac{yz}{y + z} = 1
has exactly one solution. What is $z$ in this solution?
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tomtom
Mar 8, 2024
0
47
1
+1776
Roots
Let $a$ and $b$ be the roots of the quadratic equation $2x^2 - 7x + 2 = -x^2 + 4x + 9.$ Find $\frac{1}{a+7}+\frac{1}{b+7}.$
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bader
Mar 8, 2024
0
48
1
+1776
Quadratic
Let $a$ and $b$ be the roots of the quadratic equation $x^2-25x+80=-28x+75$. Compute $\frac{a^2}{b} + \frac{b^2}{a}$.
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bader
Mar 8, 2024
-1
31
1
+1926
Algebra
Ruth has a beaker containing a solution of 800 mL of acid and 200 mL of water. She thinks the solution is a little strong, so she drains 150 mL from the beaker, adds 150 mL of water, and stirs the solution. Ruth thinks the solution is still too strong,
read more ..
hairyberry
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tomtom
Mar 8, 2024
0
36
1
+1776
Geometry
Semicircles are constructed on AB, AC, and BC. Find the radius of the circle.
AB
read more ..
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bader
Mar 8, 2024
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