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3 years ago

Express 72 as a product of its prime factors.

1 answer:

3 0

The trick is to just keep factoring out 2 until you get all prime numbers.

72 = 36 * 2
36 = 18 * 2
18 = 9 * 2
9 = 3 * 3

Therefore, the answer is:
72 = 2 * 2 * 2 * 3 * 3

Hope this helps

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9 3/4 - 1 1/4 in simplest form

Kipish [7]

8 1/2 would be the answer to this question

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4 years ago

Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t

morpeh [17]

Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

Now, According to question

mark up percentage = $\dfrac{s.p - c.p}{c.p}$

I.e 40% = $\dfrac{s.p - 18.10}{18.10}$

Or, $\dfrac{40}{100}$ + 1 = $\dfrac{s.p}{18.10}$

Or, $\dfrac{140}{100}$ = $\dfrac{s.p}{18.10}$

Or, s. p = $\dfrac{140\times 18.10}{100}$

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = $\dfrac{\textrm estimated cost}{\textrm estimated total base unit}$

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = $\dfrac{\textrm profit}{\textrm estimated cost}$

I.e The profit rate% = $\dfrac{21.29}{4.05}$

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41 Answer

4 0

3 years ago

What is the value of x? 20 35 60 70

aksik [14]

Answer:

its 60. u gotta know this stuff man

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4 years ago

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Find mZA. Round to the nearest degree. 10 10 B 13 11

nadezda [96]

Step-by-step explanation:

${13}^{2} = {10}^{2} + {11}^{2} - 2 \times (11)(10) \cos(a) \\ 169 = 100 + 121 - 110 \cos(a) \\ 52 = 110 \cos(b) \\ \cos(b) = \frac{26}{55} \\ b = 61.78 \: degrees$

.....

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3 years ago

Read 2 more answers

I NEED HELP!!!!!!!! WHAT IS THIS!? I'll mark BRAINLIEST if anyone can answer correctly!

VikaD [51]

So the rule with dividing exponents of the same base is to just subtract the exponents. Using this rule, we solve the equation as such:

$\frac{p^{-4}q^5r^6}{p^{-3}q^1r^{-2}}=p^{-4-(-3)}q^{5-1}r^{6-(-2)}=p^{-1}q^4r^8$

Next, assuming that you only want positive exponents, to get from a negative exponent to a positive one the rule is $x^{-m}=\frac{1}{x^m}$ . Using this rule, your final answer is going to be $\frac{q^4r^8}{p^1}$

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4 years ago