In how many different orders can you line up 8 cards on a table?

Answers

Answer 1

Answer: 8 cards can be lined up in 8! = 40,320 ways.

Answer 2

Answer: permutations
slot method
8 slots
1st slot has 8 choices
2nd has 7 because 1 went to first slot
3rd has 6
4th has 5
5th has 4
6th has 3
7th has 2
8th has 1

8*7*6*5*4*3*2*1=40320 ways

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The height of a box is 7 inches. Its length is 6 inches more than its width. Find the length if the volume is 280cubic inches.

Answers

h = 7
l = w + 6
V = 280

V = lwh

Plug in what we know:

280 = (w + 6)(w)(7)

Distribute W into the first parenthesis:

280 = (w^2 + 6w)(7)

Distribute 7:

280 = 7w^2 + 42w

Divide 7 to both sides:

40 = w^2 + 6w

Subtract 40 to both sides:

w^2 + 6w - 40 = 0

Factor:

(w - 4)(w + 10) = 0

Therefore, w = 4.

Plug this back into the equation for the length:

l = w + 6

l = 4 + 6

l = 10

$Volume=Length*Width*Height \n 280=(x+6)*x*7 \n 280=7x(x+6) \n 280=7x^(2)+42x \n 0=7x^(2)+42x-280 \n 0=7(x^(2)+6x-40) \n 0=7(x+10)(x-4) \n Since\ we\ can't\ have\ negative\ values,\ x=4 \n Width=4 \n Length=Width+6 \n Length=4+6 \n \boxed{Length=10}$

PLEASE HELP ASAPP!! ALGEBRA

Answers

Answer:

x > -10

Step-by-step explanation:

10 - 6x < 70

-6x < 70 - 10

-6x < 60

-6/-6 x > 60/-6

x > - 10

4. slope: -y-intercept
: -2

Answers

Answer:

y = 4/1 - 2

Step-by-step explanation:

That is your words in slope intercept form

y=4/1-2 is the answer hope ur helps

Graph each piecewise function. Then Identify the properties.

Answers

Answer:

Shown below

Step-by-step explanation:

A piecewise-defined function is a function defined by two or more equations over a specified domain. From the figure, our piecewise function is:

$\left \{ {{3x^2+6x+4 \ if \ x \leq 0} \atop {-2x+4 \ if \ x>0}} \right.$

This function has been plotted below and we know some properties:

The domain is the set of all real numbers

The range is (-∞, ∞)

The function is the combination of a straight line and a parabola.

The point at which the line and the parabola meet is (0,4)

A junior college is going to choose a Homecoming Queen, and the candidates are the Freshman Queen and the Sophomore Queen. If there are 600 freshman and 400 sophomore voters, which would be a FAIR way of conducting the vote? [Fair, in this case, means that the Freshman Queen does not have an automatic advantage.]A) Count the votes, then deduct 100 from the freshman total.
B) Count the votes and the Queen with the highest total becomes Homecoming Queen.
C) Count the votes, counting each sophomore ballot as 1.5 votes and each freshman ballot as 1 vote.
D) Count the votes, counting each freshman ballot as 1.5 votes and each sophomore ballot as 1 vote.

Answers

count the votes, counting each sophomore ballot as 1.5 votes and each freshmen ballot as 1 vote.
ur doing this because there is 200 more freshmen then sophomores...and if u count each sophomore vote as 1.5, it would make up for the 200 more freshmen

Answer: C

Step-by-step explanation: i just did it

How many different ways can you group a red apple, a green apple, a tomato, and a banana? (For example , I'll place apples in one group, and non-apples in another"')

Answers

I Came up 16 because like you said no Apple groups I also counted those

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