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3 years ago

Find the prime factors of 60 by dividing by prime numbers.

Mathematics

1 answer:

Mars2501 [29]3 years ago

7 0

Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

which is the same as saying

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Find the equation of the line described.

Lunna [17]

Answer:

y = -1/3x + 4

Step-by-step explanation:

y = 3x +5

current slope m is 3, perpendicular is opposite inverse which is -1/3

Passing through (6,2):

y = mx + b

2 = -1/3(6) + b

2 = -2 + b

b = 4

Use the perpendicular m = -1/3 and b = 4 to form equation of line:

y = mx + b

y = -1/3x + 4

5 0

3 years ago

Read 2 more answers

B) Mrs. Shakya sold a jewellery at a loss of 5%. If she had sold it at Rs 5,200 more,

Nadusha1986 [10]

Answer:

$\huge{ \fbox{ \sf{Rs \: 40000}}}$

Step-by-step explanation:

$\sf{Let \: CP \: ( \: cost \: price) \: be \: x}$

$\sf{Loss \: \% \: = 5 \% \: }$

$\sf{Selling \: price = CP \: - \: loss \: \% \: of \: CP}$

$\mapsto{ \sf x - \frac{5}{100} \times x}$

$\mapsto{ \sf{x - \frac{x}{20} }}$

$\mapsto{ \sf{ \frac{x \times 20 - x}{20} }}$

$\mapsto{ \sf{ \frac{20x - x}{20}}}$

$\mapsto{ \sf{ \frac{19x}{20}}}$

Now, Finding the New selling price

$\sf{New \: SP \: ( \: selling \: price)} = \frac{19x}{20} + 5200$

$\mapsto{ \sf{ \frac{19x + 5200 \times 20}{20}}}$

$\mapsto{ \sf{ \frac{19x + 10400}{20}}}$

Finally, finding the Cost price :

We have, Profit % = 8 %

$\sf{Cost \: price = Selling \: price \: - \: P\% \: of \: CP}$

$\mapsto{ \sf{x = \frac{19x + 104000}{20} - 8\% \: of \: x}}$

$\mapsto{ \sf{x = \frac{19x + 104000}{20} - \frac{8x}{100} }}$

$\mapsto{ \sf{x = \frac{19x + 104000}{20} - \frac{2x}{25} }}$

$\mapsto{ \sf{x = \frac{5(19x + 104000) - 2x \times 4}{100} }}$

$\mapsto{ \sf{x = \frac{95x + 520000 - 8x}{100} }}$

$\mapsto{ \sf{x = \frac{87x + 520000}{100}}}$

$\mapsto{ \sf{100x = 87x + 520000}} \: \: ( \sf{Cross \: multiplication}$

$\mapsto{ \sf{100x - 87x = 520000}}$

$\mapsto{ \sf{13x = 520000}}$

$\mapsto{ \sf{x = \frac{520000}{13}}}$

$\mapsto{ \boxed {\sf{x = 40000}}}$

Therefore, the cost price of the jewellery is Rs 40000

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

5 0

3 years ago

What’s the arc length

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3 years ago

Karachi earns $5 for each umbrella that he

GaryK [48]

The equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is 5u + 3.5p = 190

<em><u>Solution:</u></em>

Given that Karachi earns $5 for each umbrella that he sells and $3.50 for each rain poncho that he sells

Thus we can say,

Amount earned from 1 umbrella = $ 5

Amount earned from 1 rain poncho = $ 3.50

To find: equation to represent the number of umbrellas (u) and ponchos (p) he sold last week.

Let "u" be the number of umbrellas sold

Let "p" be the number of ponchos sold

He earned $190 last week selling ponchos and umbrellas

<em><u>Thus we can frame a equation as,</u></em>

number of umbrellas sold x Amount earned from 1 umbrella + number of ponchos sold x Amount earned from 1 rain poncho = $ 190

$u \times 5 + p \times 3.50 = 190\\\\5u + 3.5p = 190$

Thus the equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is found

3 0

4 years ago

1.5y - 15 + 1.8y = -10<br> (for my algebra class)

vekshin1

Answer:

y=1.51

Step-by-step explanation:

6 0

3 years ago

Find the prime factors of 60 by dividing by prime numbers.​

Find the prime factors of 60 by dividing by prime numbers.