All Questions ⁺⁰237767 Questions

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147

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Fractions

An aquarium tank is 1/6 full of water. When 2 gallons of water are added, the tank becomes 1/2 full. What is the total capacity of the aquarium tank, in gallons?

Guest May 15, 2023

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139

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system

I need help with this
For certain values of k and m, the system
3a + 2b = 2
6a + 2b = k + 3a + mb read more ..

Guest May 15, 2023

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133

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help with geo

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on line AB with a vertex C next to A. Find angle BCD in degrees.

Guest May 15, 2023

May 14, 2023

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131

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geometry

In triangle PQR, let X be the intersection of the angle bisector of angle P with side QR, and let Y be the foot of the perpendicular from X to line PR. If PQ = 9, QR = 9, and PR = 9, then compute the length of XY. read more ..

Guest May 14, 2023

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152

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solve

1. Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0.
2. Find all values of a that satsify the equation \frac{a}{3} + 1 = \frac{a + 3}{a} + 1.

Guest May 14, 2023

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149

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hard geometry

This is some very hard geometry
Triangle XYZ is equilateral. Points Y and Z lie on a circle centered at O, such that X is the circumcenter of triangle OYZ, and X lies inside triangle OYZ. If the read more ..

Guest May 14, 2023

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139

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Help

A group of friends wants to go to the amusement park. They have $311.50 to spend on parking and admission. Parking is $16.75, and tickets cost $32.75 per person, including tax. Write and solve an equation which can be used to determine pp, the number read more ..

Guest May 14, 2023

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141

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Solve

Solve 3a + 4b = 5a - 6b + 24 - 3a for a in terms of b.

Guest May 14, 2023

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138

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Let g_1, g_2, g_3, be a geometric sequence. If g_{23} = 16 and g_{28} = 24, what is g_{43}?

Let g_1, g_2, g_3, be a geometric sequence. If g_{23} = 16 and g_{28} = 24, what is g_{43}?

Guest May 14, 2023

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131

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system

Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a + 2b + 3c + 4d + 5e = 41
2a + 3b + 4c + 5d + e = 15
3a + 4b + 5c + 1d + 2e = 34 read more ..

Guest May 14, 2023

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124

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help solve

Find the number of six-digit numbers, where the sum of the digits is divisible by 8.

Guest May 14, 2023

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149

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help solve

A candy bar and a piece of bubble gum together cost 1.50. The candy bar costs a dollar more than the bubble gum. How much does the piece of bubble gum cost, in cents?

Guest May 14, 2023

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126

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help plz

In triangle AB, let the angle bisectors be BY and CZ. Given AB = 16, AY = 16, and CY = 16, find BC and BZ.

Guest May 14, 2023

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127

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Solve

Solve for the variable x in terms of y and z, assuming y \neq \frac{1}{2}:
xy + x = \frac{3x + 2y + z + y + 2z}{3}

Guest May 14, 2023

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152

1

+4

Please help

freya May 14, 2023

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123

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I've got 10, 20, 30 insect stickers. And I have 10, 20 flower stickers. How many do I have all together? What is 30 plus 20?

I've got 10, 20, 30 insect stickers. And I have 10, 20 flower stickers. How many do I have all together? What is 30 plus 20?

Guest May 14, 2023

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126

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I've got 10, 20, 30 insect stickers. And I have 10, 20 flower stickers. How many do I have all together? What is 30 plus 20?

I've got 10, 20, 30 insect stickers. And I have 10, 20 flower stickers. How many do I have all together? What is 30 plus 20?

Guest May 14, 2023

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149

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square

In the diagram below, P is a point inside square ABCD. Find x.

Guest May 14, 2023

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146

1

plz help

Sophie's favorite number is a two-digit number. If she reverses the digits, the result is 45 less than her favorite number. Also, one digit is one less than double the other digit. What is Sophie's favorite number?

Guest May 14, 2023

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136

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help stuck on a geometry problem

Can anyone help with this?
Let ABCD be a trapezoid with bases AB and CD. Let P be a point on side CD, and let X, Y be the feet of the altitudes from P to AD, BC respectively. Prove that if AD = 5, BC = 7, AB = 6, CD = 12, read more ..

Guest May 14, 2023

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