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4 years ago

The sum of 2 composite numbers is never a prime number. Explain your answer.

Mathematics

1 answer:

Natasha2012 [34]4 years ago

5 0

Answer:

Step-by-step explanation:

Composite numbers are positive numbers that have factors, This means that they are divisible by numbers other than 1 and itself provided that number is a factor of the composite number. They possess at the bearest minimum level, a divisor other than 1 and itself. They are a natural number that is expressible as the product of two(or more) numbers other than 1 and itself.

For example:

4 is a composite number because its factors are 1, 2 and 4 which have another divisor apart from 1 and itself (4). That divisor is 2.

We all know that prime numbers are numbers that can be only be divided by 1 and itself.

Therefore, the sum of two composite number, for example:

4 + 6 = 10, We can now see that 10 is never a prime number.

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yuradex [85]

There were 315 student tickets sold in the opening night

Step-by-step explanation:

The given is:

1. The cost of student ticket is $8

2. The cost of non-student ticket is $10

3. The receipts for opening night came to $3,270 from selling

390 tickets

We need to find how many student tickets were sold

Assume that there were x student tickets and y non-student tickets sold

∵ There were x student tickets and y non-student tickets sold

∵ The number of tickets were sold is 390 tickets

∴ x + y = 390 ⇒ (1)

∵ The cost of each student ticket = $8

∵ The cost of each non-student ticket = $10

∵ They earned $3270 from selling the tickets

∴ 8 x + 10 y = 3270 ⇒ (2)

Now we have system of equations let us solve them

∵ x + y = 390 ⇒ (1)

∴ 8 x + 10 y = 3270 ⇒ (2)

- Multiply equation (1) by -8 to eliminate x

∴ -8 x - 8 y = -3120 ⇒ (3)

- Add equations (2) and (3)

∴ 2 y = 150

- Divide both sides by 2

∴ y = 75

Substitute the value of y in equation(1) to find x

∵ x + y = 390 ⇒ (1)

∴ x + 75 = 390

- Subtract 75 from both sides

∴ x = 315

∵ x represents the number of the student tickets

∴ The number of the student tickets is 315 tickets

There were 315 student tickets sold in the opening night

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

5 0

3 years ago

Which quadrant is (-3,7) in? A: 1 or | B: 2 or || C: 3 or || D: 4 or IV

kotykmax [81]

The Answer Is 1 (3,7) if you graph it, it’s in the first quadrant which is the first answer A

6 0

3 years ago

Someone help me with 27

Tamiku [17]

Answer:

The answer is $(x^3-8)(x^3+2)$

Step-by-step explanation:

Find two factors that equal -6 when added, and -16 when multiplied. Those are your outer numbers. The exponent of the first term is a 6, so you know when you multiply two numbers with exponents, you add them. 6/2=3.

I'm really sorry for the bad explanation, I was in a hurry. Sorry. But I know the answer is correct.

3 0

3 years ago

The data given below consists of the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 1

Mice21 [21]

Answer:

z -score = 0.0459

Step-by-step explanation:

Given that:

the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12.

The objective is to find the z- score , but before we can do that , we need to determine the mean and the standard deviation of the sample.

Mean = sum of the sample/ total number of the sample

Mean = (3+9+ 5+ 5+ 14+ 10+ 5+ 11+ 9+ 6+ 1+ 8+ 10+ 7+ 9+13+ 18+ 9+ 8+11+ 9+ 7+ 6+ 14+ 12)/25

Mean = 219/25

Mean = 8.76

Standard deviation = $\sqrt{\dfrac {\sum (x_i - \mu)^2}{N}}$