All Questions ⁺⁰237767 Questions

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139

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ratios

A bag contains yellow, green, blue, and white marbles. The ratio of yellow, green, blue, and white marbles is 1:2:3:4. If the bag contains 180 marbles, then how many blue marbles are there?

Guest May 20, 2023

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152

1

system

Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas. read more ..

Guest May 20, 2023

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155

1

help plz

In triangle ABC, point X is on side BC such that AX=13,BX=10,CX=10, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

Guest May 20, 2023

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146

2

+274

Help!

A right triangle with integer leg lengths is called cool if the number of square units in its area is equal to twice the number of units in the sum of the lengths of its legs. What is the sum of all the different possible areas of cool right triangles?
This read more ..

supremecheetah May 20, 2023

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155

1

+274

Help pls

Find the number of ordered triples such that

supremecheetah May 20, 2023

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150

1

help

The equation x2+ ax + 2023 = 0 has roots x1 = b + 1 and x2 = 8b2 + 1 for some real number b. Find a + b.
So far I have been trying Vieta's and getting 8b3 + 8b2 + b +1 = 2023, -a = 8b2 + b + 2. And then getting read more ..

Guest May 20, 2023

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157

1

square

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

Guest May 20, 2023

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149

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optimization problem

A factory manufactures two types of gadgets, regular and premium. Each gadget requires the use of two operations, assembly and finishing, and there are at most hours available for each operation. A regular gadget requires hours of assembly and read more ..

Guest May 20, 2023

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74

2

+274

HELP VERY IMPORTANT

A right circular cone is sliced into four pieces by planes parallel to its base. All of these pieces have the same height. What is the ratio of the volume of the second-largest piece to the volume of the largest piece? Express your answer as a common f read more ..

supremecheetah May 20, 2023

+1

136

3

+20

Precalculus Quiz for Math Lovers!

a. Let and let p be the projection of v onto the plane .
Compute v-p
b. Compute p (continuation of a)
c. Let and let P be the point in the plane closest to V. read more ..

godmathguy May 20, 2023

+1

151

3

+20

I need the answer to this Precalculus Problem!

a. Let and Let P be the point on the line passing through A with direction vector that is closest to V.
b. Let and Let P be the point on the line passing through A with direction read more ..

godmathguy May 20, 2023

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144

2

Help needed urgently please!!!

In a certain pentagon, the interior angles are a, b, c, d, and e degrees where a, b, c, d, e are integers strictly less than 180. ("Strictly less than 180" means they are "less than and not equal to 180" .)
If the median read more ..

Guest May 20, 2023

May 19, 2023

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132

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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 19, 2023

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127

2

] The area of trapezoid TRAP is 100. Furthermore, TR = 32, AP = 8, and TP = RA. If ∠T = ∠R, what is the length of segment TP?

] The area of trapezoid TRAP is 100. Furthermore, TR = 32, AP = 8, and TP = RA. If ∠T = ∠R, what is the length of segment TP?

Guest May 19, 2023

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142

1

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 19, 2023

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158

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coefficient

Find the coefficient of y^4 in the expansion of (2y-5+3y^2)^6.

Guest May 19, 2023

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157

1

A store has 62 robot toys. It sells 9 of them. How many are left?

A store has 62 robot toys. It sells 9 of them. How many are left?

Guest May 19, 2023

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147

2

The soccer team has 45 raffle tickets to sell. They've sold 8 so far. How many do they have left to sell?

The soccer team has 45 raffle tickets to sell. They've sold 8 so far. How many do they have left to sell?

Guest May 19, 2023

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143

1

solutions

How many solutions are there to the equation
u + v + w + x + y + z = 7
where u, v, w, x, y, and z are nonnegative integers, and x is at most 2 or y is at least 3?

Guest May 19, 2023

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149

3

plz help

3. Consider the quadratic polynomial x2 + ax + b. If a and b are randomly selected to be positive integers which are less than or equal to 10. What is the probability that the polynomial is factorable over the integers?
4. A bag contains 3 red balls read more ..

Guest May 19, 2023

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140

0

help plz

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 19, 2023

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150

1

help with 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 19, 2023

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156

1

help needed

One ordered pair (a,b) satisfies the two equations ab^4 = 48 and ab = 72. What is the value of b in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)

Guest May 19, 2023

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