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kramer
3 years ago
14

PLEASE HELP!!!!! DUE TODAY!!!

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

5

Step-by-step explanation:

Rental = $40

Catering = $12 per person

Budget = $100

Amount left after paying for the rental

= 100 - 40

= $60

Maximum number of guests

= 60 ÷ 12

= 5

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P, Q, and R are prime numbers such that 3P + 7Q + 15R = 102. What is Q?
77julia77 [94]

Q is 3

Step-by-step explanation:

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......

  • They have two factors only 1 and itself
  • All the them are odd numbers except 2 is an even number
  • 1 is not a prime number because has only one factor

∵ P, Q and R are three prime numbers

∵ 3P + 7Q + 15R = 102

- Factorize 102 into prime numbers

∵ 102 ÷ 2 = 51

∵ 51 ÷ 3 = 17

∴ The prime factorization of 102 is 2 × 3 × 17

∵ 2 , 3 , 17 are prime numbers

- Put them in the equation above to find which one is P and

  which is Q and which is R

∵ R has the greatest coefficient, then put R = the smallest prime 2

∵ P has the smallest coefficient, then put P = the greatest prime 17

∴ Q = The last prime 3

- Let us check the value of the left hand side

∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102

∵ Right hand side = 102

∴ The prime numbers are P = 17 , Q = 3 , R = 2

Q is 3

Learn more:

You can learn more about the prime numbers in brainly.com/question/4550858

#LearnwithBrainly

8 0
3 years ago
What value completes the table?
Eddi Din [679]
Given f(x) = x^{5} +  (x+3)^{2}, find f(x), when x is equal to -1. 

Simply, you just need to substitute -1 into the given equation. 

f(x) = (-1)^{5} + ((-1)+3)^{2}
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The value that completes this table is the last choice, which is 3. 
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