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ludmilkaskok [199]
3 years ago
13

A staple of art classes, Crayola Crayons have been around since 1903. The original boxes of Crayola contained eight different-co

lored crayons. The crayons were arranged in two rows of four crayons each. In how many different ways could the crayons have been arranged in the box?
Mathematics
1 answer:
poizon [28]3 years ago
3 0

Answer:

40,320 ways

Step-by-step explanation:

From the above question, we know that there are 8 different coloured crayons

They are arranged in 2 rows, with 4 per row.

The number of different ways through which we can arrange the crayons is determined as:

Since each crayons are differently colored, any color can be first and any color can be in a different spot.

Therefore, this is calculated as:

8!

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 40,320 ways.

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If f(x)= x-3/x and g(x)= 5x-3, what is the domain of (f•g)(x)
ad-work [718]

f(x)=\dfrac{x-3}{x},\ D_f:x\neq0\\\\g(x)=5x-3,\ D_g=\mathbb{R}\\\\(f\cdot g)(x)=f(x)\cdot g(x)\\\\(f\cdot g)(x)=\dfrac{x-3}{x}\cdot(5x-3)=\dfrac{(x-3)(5x-3)}{x}\\\\D_{(f\cdot g)}=D_f

Answer: The domain of (f•g)(x) is all real numbers except for 0

D=\mathbb{R}-\{0\}

4 0
3 years ago
A shoe dealer purchased net Birr 8,000 worth of shoes from a shoe company.
Alex787 [66]

Answer:

Step-by-step explanation:

A) The dealer bought Birr 8000 at 7% tax.

Total amount to be paid = cost price (1 + r%)

r = 7% = 0.07

Total amount to be paid = 8000 \times 1.07 =\texttt {Birr}  \ \  {8,560}

B) To find the VAT, it is the difference between the tax paid when the good was bought and the tax put on it after it was sold.

Tax paid when the shoes were bought = 7% of cost price

= 7 \%  \times  8,000 = \texttt {Birr} \ 560

Tax paid when the shoes were sold = 9% of selling price

= 9 \% \times 12,000 = \texttt {Birr} \ 1,080

VAT = tax recovered on sale - Tax paid on purchase

\texttt {VAT} = 1080 - 560 = \texttt {Birr}\ 520

8 0
3 years ago
Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900
FrozenT [24]

Answer:

<em />Average = \$873<em />

<em />

Step-by-step explanation:

Given

$1000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for other days

Required

Compute the daily average

First, we need to compute the number of days her balance is $900

Assuming the billing cycle is 30 days;

Number\ of\ days = 30 - (9 + 10 + 4)

Number\ of\ days = 30 - 23

Number\ of\ days = 7

The Average is then calculates using:

Average = \frac{\sum fx}{x}

Average = \frac{1000 * 9 + 750 * 10 + 850 * 4 + 900 * 7}{9 + 10 + 4+ 7}

Average = \frac{26200}{30}

Average = 873.333333333

<em />Average = \$873<em> --- Approximated</em>

3 0
3 years ago
Which table represents the function?
horrorfan [7]
D because they all increase by the same number (+1)
7 0
3 years ago
Read 2 more answers
One half of your CDs are scratched. One fifth will not play properly. You have 40 CDs. How many will not work play properly
kvasek [131]
1/2 of 40= 20

40/5=8

20+8=28

28 of your CDs will not work properly.

I hope this helps!
6 0
3 years ago
Read 2 more answers
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