Doug is twice Anne's age. Doug is 34 years old. How old is Anne

Paul wants to gift wrap the boxes. He has 1,000.00 square inches of wrapping paper. Does Paul have enough to wrap all three boxe

zhannawk [14.2K]

Answer:

y

Step-by-step explanation:

5 0

3 years ago

Uh what’s 9 + 10 + 9 - 10

alexandr1967 [171]

Answer:

18

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

At a clothing store, jackets are on sale for 30% off. Sales tax is 5%. Which expression will calculate the total cost of a jacke

VLD [36.1K]

Answer: B.x(0.75)

Step-by-step explanation:

If the jacket has a cost of $x$ , but has $30\%$ off and we have to add the $5\%$ in tax, we can write all in the following expression:

$x-30\% x+5\%x$

Where:

$x$ is the cost

$30\% x=\frac{30}{100}x=0.3 x$ is the percent off

$5\%x=\frac{5}{100}x=0.05x$ is the tax

Then:

$x-0.3 x+0.05 x=0.75 x$

This can be also rewritten as:

$x(0.75)$

Hence, the correct option is B.

3 0

3 years ago

A Grocery store sells steak for $6.10 per pound.What would be the cost of 2 3/5 LB of steak?

77julia77 [94]

<h2>Answer:</h2>

<u>The cost would be </u><u>$15.86</u>

<h2>Step-by-step explanation:</h2>

The cost of 1 steak is $6.10

The cost of 2 3/5 steaks will be

Cost of 2 3/5 steaks = 6.10 * 2 3/5

Cost of 2 3/5 steaks = $15.86

8 0

3 years ago

7) PG & E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many

BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

$_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\$

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

============================================================

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

$_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\$

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

-----------------

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

$_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\$

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

-----------------

<h3>Answer: 495</h3>

5 0

2 years ago