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3 years ago

What is a prime number?

Mathematics

2 answers:

Alex17521 [72]3 years ago

7 0

A prime number is a number that only has two factors: 1 and itself.

Vesna [10]3 years ago

5 0

A prime number is a natural number (the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well) greater than 1 that cannot be formed by multiplying two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.

Hope this helps! ;)

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Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0

3 years ago

Solve 7 3/4- 5 5/4=

Kaylis [27]

Hey!

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Solution:

(5/4 = 1 1/4) and (1 1/4 + 6 = 6 1/4)

= 7 3/4 - 6 1/4 (5/4 = 1 1/4)

= 1 2/4 or 1 1/2

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Answer:

1 2/4 or 1 1/2

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Hope This Helped! Good Luck!

8 0

3 years ago

An item is priced at $14.97. If the sales tax is 5%, what does the item cost including sales tax? A. $30.69 B. $0.75 C. $22.46 D

kolezko [41]

The correct answer is D, $15.72

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3 years ago

If x = 0 and y < 0, where is the point (x, y) located?

Kobotan [32]

Answer:

-5

Step-by-step explanation:

4 0

3 years ago

Please answer these, i’ll give brainliest.

Alekssandra [29.7K]

Answer:

9) 21

10) 70

11) 64

12) 31

13) 83

14) 31

Step-by-step explanation:

too easy!!

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3 years ago