All Questions ⁺⁰237321 Questions

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50

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help with probability

The six faces of a cube are painted black. The cube is then cut into $3^3$ smaller cubes, all the same size.
(a) How many of the smaller cubes have exactly one black face?
(b) How many of the smaller cubes do not have any read more ..

wiseowl Jan 21, 2024

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43

0

+1678

help probability

In Ms. Q's deck of cards, every card is one of four colors (red, green, blue, and yellow), and is labeled with one of seven numbers ($1,$ $2,$ $3,$ $4,$ $5,$ $6,$ and $7$). Among all the cards of each color, there is exactly one card labeled with each number. read more ..

wiseowl Jan 21, 2024

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53

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+1678

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?

wiseowl Jan 21, 2024

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67

0

+1678

Counting question

In a row of five squares, each square is to be colored either red, yellow, or blue, so that no two consecutive squares have the same color. How many ways are there to color the five squares, if there must be at least three yellow squares?

wiseowl Jan 21, 2024

+5

56

1

+0

math help

Let IJKLMN be a hexagon with side lengths IJ=lM=3, JK = MN = 4, and KL = NI = 6. Also, all the interior angles of the hexagon are equal. Find the area of hexagon IJKLMN.
thanks

himynameisjeff Jan 21, 2024

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4

0

+1729

Minimum

Find the minimum value of \frac{x^2}{x - 1 + x^3} for x > 1

parmen Jan 21, 2024

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44

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+1729

need help

Let f(x) = \left \lfloor \frac{2 - 3x}{x + 3} + x^2 \right \rfloor.
Find f(1) + f(2) + f(3) + ... + f(999) + f(1000).

parmen Jan 21, 2024

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72

0

+1729

help with floor function

Find all values of t such that floor(t) = 3t + 4 - t^2. If you find more than one value, then list the values you find in increasing order, separated by commas.

parmen Jan 21, 2024

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50

0

+1729

Piecewise Function

The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4 read more ..

parmen Jan 21, 2024

0

8

0

+921

Percent

Our badminton team has finished $75\%$ of its season. So far, we have won $35\%$ 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?

booboo44 Jan 21, 2024

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34

0

+921

Proportion

Ruth has a beaker containing a solution of $800$ mL of acid and $200$ mL of water. She thinks the solution is a little strong, so she drains $150$ mL from the beaker, adds $150$ mL of water, and stirs the solution. Ruth thinks the solution is read more ..

booboo44 Jan 21, 2024

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55

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+921

system

For a certain value of $k$, the system
x + y + 3z = 10,
x - 2y + 8z = 7,
kx + 5z = 3
has no solutions. What is this value of k?

booboo44 Jan 21, 2024

0

64

0

+921

Question on Rates

Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $10$ km behind, and Foley is $15$ km behind. When Edith finishes the race, how far read more ..

booboo44 Jan 21, 2024

0

10

0

+921

proportion

Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $15$ days earlier. If the job needs to be completed $40$ days earlier, how many additional workers should be hired?

booboo44 Jan 21, 2024

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48

0

+1556

Inequality rules

Here is a summary of some inequality rules.
Fill in the blanks to complete the rules. (The first rule is already complete.)

You can add or subtract the same quantity from both sides.
You can multiply/divide both sides by read more ..

kittykat Jan 21, 2024

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42

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+1556

Lines

Line $\ell_1$ represents the graph of $3x + 2y = -14 - 8x + 5y$. Line $\ell_2$ passes through the point $(5,-6)$, and is perpendicular to line $\ell_1$. Write the equation of line $\ell_2$ in the form $y=mx +b$.

kittykat Jan 21, 2024

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65

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+1556

Equations of lines

Fill in the blanks with integers, and select the correct operator ($+$ or $-$), to give an equation whose graph is the line that passes through the point $(-1,8)$ and is parallel to the graph of $4x + 3y = -8 - x - 15y.$

kittykat Jan 21, 2024

+1

43

2

+965

help with inequality

Solve the inequality 2x - 5 <= -x + 12 - 7x + 18.

magenta Jan 21, 2024

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48

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+965

Maximum

I own a large truck, and my neighbor owns four small trucks that are all identical. My truck can carry a load of at least $500$ pounds more than each of her trucks, but no more than $\frac{1}{4}$ of the total load her four trucks combined can carry. read more ..

magenta Jan 21, 2024

+1

52

2

+965

Inequality

Solve the inequality -4(x + 4) > x + 7 + 8x + 21.

magenta Jan 21, 2024

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64

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+0

Frank the farmer and Ron the rancher each work 8 hours per day.

Frank the farmer and Ron the rancher each work 8 hours per day. It takes Frank 60 minutes to produce 1 kg meat, and 15 minutes to produce 1 kg potatoes. It takes Ron 20 minutes to produce 1 kg meat, and 10 minutes to produce 1 kg potatoes. Draw the daily read more ..

rehmatarora315 Jan 21, 2024

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