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Ahat [919]
3 years ago
12

Determine whether each number is prime, composite, or neither.

Mathematics
1 answer:
givi [52]3 years ago
4 0
Alright lets start by defining both prime and composite.

A natural number that has exactly two factors, one and itself, is called a prime number.
And natural number, other than one, that is not prime, is composite.

So lets start on #1: 8. We should know right off the bat that this is an even number and therefore can be divided by 2 (8/2=4). Since 8 is not one, we know that it is a composite number.

On #2 the number is 13. Now try some random numbers (2,3...) and you will find that nothing will give you a whole number (other than one). This means this number is prime.

#3 is the number 24 which is also even and can be divided by two, therefore is it composite.

33 is the number on #4. Now this one you should look at and realize that it can be divided by 11. Any two numbers that are the same (11, 22, 33, 44, 55...) can be divided by 11. This number is composite.

#5, the last one, is number 89. 89 is not a composite number, because it's only divisors are one and itself. This would make is a prime number.

Sorry this was kinda long, but I hope it helps! If you have any questions, feel free to ask!
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Find the measure of angle ABC.<br><br> A. 124<br><br> B. 97<br><br> C. 56<br><br> D. 51
Airida [17]

Answer: Last Option

Step-by-step explanation:

By definition the sum of the internal angles of a triangle must always be equal to 180 °.

This means that:

32 + (2x-15) + (x-5)=180

Now we solve the equation for the variable x

32 + 2x-15 + x-5=180

2x+x +32-15-5=180

3x +32-20=180

3x +12=180

We subtract 12 in both barks of the equation

3x +12-12=180-12

3x=168

Divide by 3 on both sides of the equation

\frac{3}{3}x=\frac{168}{3}

x=\frac{168}{3}

x=56

Finally the measure of angle ABC is: (56-5)° = 51°

6 0
3 years ago
Read 2 more answers
Help please help please
xxTIMURxx [149]

Answer:

Combine like terms

Step-by-step explanation:

The first step in such equations is to simplify the equation which is done most often by combining like terms, and by combining like terms i mean for example:

1 + 5 + 3x = 4y + z

You will combine the like terms (those that can be added or subtracted):

6 + 3x = 4y + z

In our example, combining terms would be adding 2x/3 and 1x/3 to give

3x/3 + 2 = 5

The equation is now simple and easy to solve as you simplify 3x/3 to 1x and then proceed to rearrange the equation to yield the value of x

Hope this helps!

6 0
3 years ago
sarah works at a clothing store. Her weekly salary is $250 plus%4 commision on her sales.Last week she sold $ 2,500 worth of clo
creativ13 [48]

Answer:

80,000

Step-by-step explanation:

I hope this helps:)

3 0
3 years ago
A company is to hire two employees. They have prepared a final list of eight candidates, all of whom are equally qualified. Of t
Softa [21]

Answer:

i) Probability that both candidates employed are women = 5/14

ii) Probability that the second candidate is a woman = 5/8

iii) Probability that the first candidate is a woman given that second one is a woman = 4/5

Step-by-step explanation:

Let the probability that a man is employed be P(M) = 3/8

Probability that a woman is employed P(W) = 5/8

a) Probability that both candidates employed are women = (5/8) × (4/7) = 5/14

b) Probability that the second candidate is a woman = (probability that first candidate is a man and second candidate is a woman) + (probability that first candidate is a woman & second candidate is a woman)

= (3/8)(5/7) + (5/8)(4/7) = (15/56) + (20/56) = 35/56 = 5/8

c) Probability that the first candidate is a woman given that second one is a woman

Given that the second candidate was a women, means that the first candidate-women was selected among other four women.

Probability = (4/8)/(5/8) = 4/5

7 0
3 years ago
30 ft
LekaFEV [45]

Answer:30+15

Step-by-step explanation:

4 0
3 years ago
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