All Questions ⁺⁰235577 Questions

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+1234

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 $m?$

Akhain1 May 10, 2024

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18

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+1234

Algebra

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

Akhain1 May 10, 2024

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16

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+1234

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?

Akhain1 May 10, 2024

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19

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+1234

Algebra

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

Akhain1 May 10, 2024

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38

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+4

Í skólanum eru 3 hópar nemenda sem æfa sig fyrir stærðfræðipróf.

Í skólanum eru 3 hópar nemenda sem æfa sig fyrir stærðfræðipróf. Fyrsta hópurinn hefur 25 nemendur, annar hópurinn hefur tvöfalt fleiri nemendur en fyrsti hópurinn og þriðji hópurinn hefur um 15 færri nemendur en annar hópurinn. Hversu margir nemendur eru read more ..

saturnskaiakka May 10, 2024

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25

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+4

Please help ASAP

1) A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013 the population had reached 258 wolves. Write an equation representing the population N of wolves over time t.
2) For her eighth birthday, read more ..

Terribleatmath May 10, 2024

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Algebra

For what real values of k does the quadratic 12x^2 + kx + 27 = 8x^2 + 18 + 14x^2 + 32 have nonreal roots? Enter your answer as an interval.

Akhain1 May 10, 2024

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25

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+1234

Algebra

The roots of the quadratic equation z^2 + bz + c = 0 are 5 + 3i and 8 - 2i. What is b+c?

Akhain1 May 10, 2024

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13

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+1234

Algebra

Find all values of x such that
\frac{x}{x - 5} = \frac{4}{x - 4} + \frac{3}{x} - 2.

Akhain1 May 10, 2024

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19

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+1234

Algebra

Find one ordered pair (x,y) of real numbers such that x + y = 8 and x^3 + y^3 = 200 + x^2 + y^2.

Akhain1 May 10, 2024

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+1839

Algebra

Find all real values of s such that x^2 + sx + 144 - 140 is the square of a binomial.

ABJeIIy May 10, 2024

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33

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+1839

Algebra

For what real values of c is x^2 - 8x - 16x + c the square of a binomial?

ABJeIIy May 10, 2024

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19

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+1839

Algebra

Our badminton team has finished 60% of its season. So far, we have won 30% of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?

ABJeIIy May 10, 2024

+1

18

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+10

Help fast with a detailed explanation!

Lizzie came up with a divisibility test for a certain number is not 1: Break a positive integer $n$ into two-digit chunks, starting from the ones place. (For example, the number $354764$ would break into the two-digit chunks 64, 47, 35. Find the alternating read more ..

capybara111 May 10, 2024

-1

18

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+1839

Algebra

Find all ordered pairs (x,y) of real numbers such that x + y = 10 and x^2 + y^2 = 62 + 2xy.
For example, to enter the solutions $(2,4)$ and $(-3,9)$, you would enter "(2,4),(-3,9)" (without the quotation marks).

ABJeIIy May 10, 2024

May 9, 2024

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18

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+2653

Counting

Find the number of solutions to
x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 \le 10
in nonnegative integers, where x_2 is even and x_5 is odd.

LiIIiam0216 May 9, 2024

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34

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+2653

Counting

Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets at least $6$ chocolates?

LiIIiam0216 May 9, 2024

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12

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+2653

Probability

Raina places the following balls into a bag. She then draws three balls out of the bag, one at a time, without replacement. What is the probability that the colors of the balls alternate?
There are 3 orange balls and 2 purple read more ..

LiIIiam0216 May 9, 2024

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29

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+2653

Counting

I have $3$ different mathematics textbooks, $2$ different psychology textbooks, and $2$ different chemistry textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row?

LiIIiam0216 May 9, 2024

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24

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+2653

Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find read more ..

LiIIiam0216 May 9, 2024

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24

1

+2653

Counting

Annville Junior High School has a math club and a science club. There are $3$ students in the math club and $3$ students who are members of both clubs. There are twice as many students in the science club as in the math club. Find read more ..

LiIIiam0216 May 9, 2024

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20

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+2653

Counting

Find the number of ways of choosing three circles below, so that no two circles are next to each other.

LiIIiam0216 May 9, 2024

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15

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+2653

Algebra

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

LiIIiam0216 May 9, 2024

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12

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+2653

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 $1?$

LiIIiam0216 May 9, 2024

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29

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+2653

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?

LiIIiam0216 May 9, 2024

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