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Post New Question
All Questions
+0
237262 Questions
0
14
3
+789
Algebra
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/9 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
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bingboy
Aug 6, 2024
0
31
2
+1493
Algebra
Seven years ago, Grogg's dad was $9$ times as old as Grogg. Four years ago, Grogg's dad was $6$ times as old as Grogg. How old is Grogg's dad currently?
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learnmgcat
Aug 6, 2024
0
24
3
+54
Number theory...
Let x be an integer such that . Find the value of . Express your answer as a residue between 0 and the modulus.
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AUnVerifiedTaxPayer
Aug 6, 2024
0
26
0
+864
Geometry
Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$,
read more ..
RedDragonl
Aug 6, 2024
0
17
1
+750
Algebra
All members of our painting team paint at the same rate. If $10$ members can paint a $100$ square foot wall in $10$ minutes, then how long would it take the $15$ members to paint a $100$ square foot wall, in minutes?
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siIviajendeukie
Aug 6, 2024
0
12
1
+750
Algebra
All members of our painting team paint at the same rate. If $10$ members can paint a $1000$ square foot wall in $10$ minutes, then how long would it take for $5$ members to paint a $1000$ square foot wall, in minutes?
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siIviajendeukie
Aug 6, 2024
Aug 5, 2024
+1
15
1
+569
Algebra
A plane flies from Penthaven to Jackson and then back to Penthaven. When there is no wind, the round trip takes 3 hours and 36 minutes, but when there is a wind blowing from Penthaven to Jackson at 30 miles per hour, the trip takes 3 hours and 45
read more ..
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onyuIee
Aug 5, 2024
+1
28
1
+569
Algebra
In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$:
I = V/R
It's also true that resistance is directly proportional to the length of the wire.
read more ..
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onyuIee
Aug 5, 2024
0
33
0
+1208
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 ..
AnswerscorrectIy
Aug 5, 2024
0
22
0
+1208
Algebra
Let $a$ and $b$ be complex numbers. If $a + b = 4$ and $a^2 + b^2 = 6,$ then what is $a^3 + b^3?$
AnswerscorrectIy
Aug 5, 2024
0
31
1
+1855
Geometry
A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The line is x = 4, and the equation of the circle is x^2 + y^2 = 25.
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ABJeIIy
Aug 5, 2024
0
27
0
+1855
Geometry
Let $k$ be a positive real number. The line $x + y = 3 + k$ and the circle $x^2 + y^2 = k$ are drawn. Find $k$ so that the line is tangent to the circle.
ABJeIIy
Aug 5, 2024
0
42
0
+864
Algebra
Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.
RedDragonl
Aug 5, 2024
0
24
0
+750
Algebra
Find all ordered pairs x, y of real numbers such that x+y=10 and x^3+y^3=300.
For example, to enter the solutions (2, 4) and (-3, 9), you would enter "(2,4),(-3,9)" (without the quotation marks).
siIviajendeukie
Aug 5, 2024
0
33
0
+864
Algebra
For an integer n, the inequality
x^2 + nx + 15 < -89 - 3x^2
has no real solutions in $x$. Find the number of different possible values of $n$.
RedDragonl
Aug 5, 2024
0
26
1
+750
Counting
Catherine rolls a standard 6-sided die six times. If the product of her rolls is 60 then how many different sequences of rolls could there have been? (The order of the rolls matters.)
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siIviajendeukie
Aug 5, 2024
0
45
0
+279
Algebra
Find $t$ if the expansion of the product of $x^3$ and $x^2 + tx$ has no $x^2$ term.
fjeihqoO
Aug 5, 2024
0
37
0
+4
Algebra
There exists a polynomial $f(x)$ and a constant $k$ such that
(x^2 - 2x - 5) f(x) = 2x^4 + 19x^3 + kx^2 - 15x - 1.
What is $k?$
justarandornperson
Aug 5, 2024
0
19
1
+359
Algebra
What is the coefficient of $x$ in $(x^3 + x^2 + x + 1)(x^4 - 8x^3 + 17x^2 - 23x + 14)$?
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falafronk
Aug 5, 2024
0
33
0
+1266
Algebra
Find the sum of all positive integers less than 1000 ending in 3 or 4 or 5.
Akhain1
Aug 5, 2024
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