Carl is shipping a cardboard box that is a rectangular prism. The net of the box is 10 in 6 in 4in. What is the area of the box?

1 answer:

6 0

If by area you mean surface area then the answer is 248 square inches but if you mean volume the answer is 240 cubed inches.

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What value is a permutation of n things taken r at a time divided by to get the combination of n things taken r at a time?

Lera25 [3.4K]

Answer:

A. r!

Step-by-step explanation:

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Permutation of n things taken r at a time

$P_{(n,r)} = \frac{n!}{(n-r)!}$

Combination of n things taken r at a time:

$C_{n,r} = \frac{n!}{r!(n-r)!}$

Division:

$\frac{P_{(n,r)}}{C_{n,r}} = \frac{\frac{n!}{(n-r)!}}{\frac{n!}{r!(n-r)!}} = \frac{n!}{(n-r)!} \times \frac{r!(n-r)!}{n!} = r!$

So the correct answer is:

A. r!

5 0

4 years ago

2.8 -3x =12.1 −6x what's x

Kipish [7]

X= 3.1 is the answer

6 0

3 years ago

Read 2 more answers

Rectangle ABCD is similar to rectangle QRST. The width of ABCD is 5 inches and the length is 8 inches. If the length of QRST is

omeli [17]

Answer: 7.5

Form your proportion. Let x be the width of QRST.

Length of ABCD Length of QRST
----------------------- = -------------------------
Width of ABCD Width of QRST

8/5 = 12/x

Solve for x by cross-multiplying.
(8)(x) = (12)(5)
8x = 60
x = 7.5