All Questions ⁺⁰235624 Questions

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+767

Algebra

The equation of the line below can be expressed in the form
\frac{x}{a} + \frac{y}{b} = 1.
Find a.
The lines passes through (5,8) and (-4,17).

gnistory Aug 29, 2024

0

3

2

+42

ideas?

Each face of a cube is painted randomly one of the colors red, orange, yellow, green, blue or purple. What is the probability that the cube has at least one pair of faces that share an edge and are the same color? Express your answer as a decimal to the read more ..

threepointonefourone Aug 29, 2024

+1

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4

+19

plz help

Eight hot dogs and seven hot dog rolls cost $13.60. Seven hot dogs and eight hot dog rolls cost $13.40. How much, in dollars, does a hot dog and a hot dog roll cost combined?

catttttttttt Aug 29, 2024

0

14

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+767

Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

gnistory Aug 29, 2024

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12

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+767

Algebra

Will and Grace are canoeing on a lake. Will rows at $50$ meters per minute and Grace rows at $30$ meters per minute. Will starts rowing at $2$ p.m. from the west end of the lake, and Grace starts rowing from the east end of the lake at $2{:}45$ p.m. read more ..

gnistory Aug 29, 2024

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3

1

+39

parabola problem

The focus of the parabola x^2=4y is F=(0,1). A line passing through F intersects the parabola at M and N. The line passing through F that is perpendicular to line MN intersects the parabola at a point A in the first quadrant. If angle MAN=90 degrees read more ..

invalid Aug 29, 2024

Aug 28, 2024

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1

+816

Geometry

Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $WX = 2$ and $XY = 3$, then what is the area of rectangle $WXYZ$?

AnswerscorrectIy Aug 28, 2024

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+816

Geometry

In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 15$, $BY = 20$, $\angle ACB= 60^\circ$, and $CY = 3 \cdot CX$, then find $AB$.

AnswerscorrectIy Aug 28, 2024

0

1

1

+2653

Algebra

Compute
1 + \frac{3}{6} + \frac{5}{6^2} + \frac{7}{6^3} + 2 + \frac{2}{5} + \frac{2}{5^3} + \frac{2}{5^4}

LiIIiam0216 Aug 28, 2024

0

7

1

+2653

Algebra

Let $x$ and $y$ be complex numbers. If $x + y = 2$ and $x^3 + y^3 = 5$, then what is $x^2 + y^2$?

LiIIiam0216 Aug 28, 2024

0

7

0

+2653

Algebra

Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{39} + \sqrt{40}} + \frac{1}{\sqrt{40} +\sqrt{45}}

LiIIiam0216 Aug 28, 2024

0

5

1

+2653

Algebra

Find all values of c such that 3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18. If you find more than one value of c, then list your values in increasing order, separated by commas.

LiIIiam0216 Aug 28, 2024

0

5

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+293

Algebra

In a geometric sequence, the 23rd term is 16 and the 24th term is 1/4. What is the 30th term?

MeIdHunter Aug 28, 2024

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7

1

+293

Algebra

Find the sum of all positive integers less than 1000 ending in 3 or 4 or 6 or 9.

MeIdHunter Aug 28, 2024

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8

0

+293

Algebra

A geometric sequence has $400$ terms. The first term is $1000$ and the common ratio is $-\frac{8}{9}.$ How many terms of this sequence are greater than $1?$

MeIdHunter Aug 28, 2024

0

6

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+293

Algebra

When the same constant is added to the numbers 60, 120, and 140, a three-term geometric sequence arises. What is the common ratio of the resulting sequence?

MeIdHunter Aug 28, 2024

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9

1

+63

halp

Write with a rational denominator.

MeldHunter Aug 28, 2024

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10

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+816

Algebra

For certain values of $k$ and $m,$ the system
a + 2b = -3 - 7a + b,
4a + 2b = k - 5a - mb
has infinitely many solutions $(a,b).$ What are $k$ and $m?$

AnswerscorrectIy Aug 28, 2024

0

4

1

+816

Algebra

Find the ordered pair (s, t) that satisfies the system
(s/2) + 5t =3 - 7t + 8s
3t - 6s = 9 - 2t

AnswerscorrectIy Aug 28, 2024

0

5

1

+293

Algebra

In an arithmetic sequence, the 23rd term is $\frac{1}{4},$ and the $33$rd term is $-\frac{1}{5}$. What is the $43$rd term?

MeIdHunter Aug 28, 2024

0

3

1

+293

Algebra

A geometric sequence has 400 terms. The first term is 1000 and the common ratio is -\frac{8}{9}$ How many terms of this sequence are greater than 1?

MeIdHunter Aug 28, 2024

0

5

0

+293

Algebra

If x and y are positive integers for which 3x + 2y + xy = 115 + 11x + 2y, then what is x + y?

MeIdHunter Aug 28, 2024

0

3

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+952

Algebra

Let $a_1,$ $a_2,$ $a_3,$ $\dots,$ $a_{10},$ $a_{11},$ $a_{12}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 = 22$ and $a_2 + a_4 = 17$, then find $a_1$.

Hi6942O Aug 28, 2024

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