All Questions ⁺⁰235714 Questions

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Counting

In how many ways can the numbers through be entered once each into the five boxes below so that all the given inequalities are true?
___ > ___ > ___ > ___ < ___

Pythagorearn Sep 12, 2024

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+85

Solving Linear Inequalities

Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her pa read more ..

Alyssiaca Sep 12, 2024

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10

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+85

Irene made a mistake when she solved this inequality:

Irene made a mistake when she solved this inequality:
Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1
Between which two consecutive steps did read more ..

Alyssiaca Sep 12, 2024

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3

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+85

If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true?

If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true?

Alyssiaca Sep 12, 2024

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please Try!

Consider a 4 colored cube of 343 small cubes each of dimension 1x1x1 having one particular color. No two consective cubes on the other sides can be of same color.
(a) How many at most smaller cubes of each color are possible.
(b) At most read more ..

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Saroosh Sep 12, 2024

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+176

Counting

A baking club wants to form an executive committee. There are $20$ people in the baking club, including Mark. In how many ways can the baking club form an executive committee with $7$ people, including Mark?

AUnVerifedTaxPayer Sep 12, 2024

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+176

Counting

A standard six-sided die is rolled $7$ times. You are told that among the rolls, there was one $1,$ one $2$, one $3$, one $4$, one $5$, and two $6$s. How many possible sequences of rolls could there have been? (For example, 2, 3, read more ..

AUnVerifedTaxPayer Sep 12, 2024

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8

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+176

Counting

You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
(b) Find the number of ways read more ..

AUnVerifedTaxPayer Sep 12, 2024

Sep 11, 2024

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+2669

Counting

In how many ways can we distribute 13 pieces of identical candy to 5 kids, if the two youngest kids are twins and insist on receiving at least four pieces each?

LiIIiam0216 Sep 11, 2024

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5

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+2669

Counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

LiIIiam0216 Sep 11, 2024

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Solving Linear Inequalities

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?

Alyssiaca Sep 11, 2024

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3

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+85

Solving Linear Inequalities

Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwartz plans to order more wheels once he has fewer than 40 wheels left.
The inequality that can be used to read more ..

Alyssiaca Sep 11, 2024

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2

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+85

Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?

Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?

Alyssiaca Sep 11, 2024

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5

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+85

Given the following formula, solve for a.

Given the following formula, solve for a.
s=\frac{a+b+c}{2}

Alyssiaca Sep 11, 2024

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+85

Solving Literal Equations

Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it take for the dripping faucet to fill a 1‑gallon bucket? Round your answer to the nearest whole number.

Alyssiaca Sep 11, 2024

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11

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+20

mathshs

Mr Ravi spent 1/4 ofhis money on a shirt and 5/6 of his remaining money on a badminton racket, a pair of shorts and 2 pairs of shoes. The badminton racket cost 4 times as much as a pair of shoes while the pair of shorts cost 4 times as much as a pair of read more ..

BilalKrol28282 Sep 11, 2024

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+85

Solving Literal Equations

A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person’s weight, in pounds, when rounded to the nearest whole number?

Alyssiaca Sep 11, 2024

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+207

Algebra

Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.

BRAlNBOLT Sep 11, 2024

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8

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+834

Number Theory

What is the largest positive integer $n$ such that $1457$, $1797$, $709$, $15$, $24$, $197$, $428$ all leave the same remainder when divided by $n$?

eramsby1O1O Sep 11, 2024

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3

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+834

Number Theory

If n \equiv 43 \pmod{165}, then what is the residue of $n$ modulo 2?

eramsby1O1O Sep 11, 2024

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+176

Geometry

In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $4,$ and the area of triangle $PSR$ is $8.$ Find the area of trapezoid read more ..

AUnVerifedTaxPayer Sep 11, 2024

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Solving Literal Equations

a=v^2/r.
Solve the formula for r.

Alyssiaca Sep 11, 2024

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