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spayn [35]
2 years ago
14

P is a prime number. Show that p²+6 could be either even or odd

Mathematics
1 answer:
storchak [24]2 years ago
6 0

<em>p</em> ² + 6 is even if <em>p</em> ² is even (the sum of two even numbers is even), and this happens only if <em>p</em> itself is even, i.e. if <em>p</em> = 2 since 2 is the only even prime.

All other primes <em>p</em> are odd, so <em>p</em> ² would be odd, and adding 6 would not change that (odd + even = odd).

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The ratio of players to coaches at football camp was 15 to 2. If there were 120 players, how many
Marta_Voda [28]

Answer:

16

Step-by-step explanation:

120 divided by 15 is 8

8 x 2 = 16

There are 16 coaches.

8 0
3 years ago
Say you have a 68 for your math grade. And you got a 100 on a test. What will your math grade be now.
zzz [600]
Prob 70-74 depending on your school grading system
8 0
3 years ago
Jamie received £26 pocket money last week. He spent it as follows: 10% on sweets, 25% on magazines 15% on games How much did Jam
navik [9.2K]

Answer:

Total money left with Jamie = £13

Step-by-step explanation:

Jamie received pocket money = £26

He spent on sweets = 10% of total pocket money

Expense on magazines = 25% of the total money

Expense on games = 15% of the pocket money

Total expenditure on sweets, magazines and games = \frac{10}{100}+\frac{25}{100}+\frac{15}{100}

= \frac{50}{100} Or 50% of the pocket money he received

Therefore, money left with Jamie = 50% of total money he received as pocket money

= \frac{50}{100}\times 26

= £13

6 0
3 years ago
What is 36% of 745? Show work
kogti [31]
745/x=100/36
<span>(745/x)*x=(100/36)*x
</span><span>745=2.7777777777778*x
</span>(2.7777777777778) to get x
<span>745/2.7777777777778=x </span>
<span>268.2=x </span>
<span>x=268.2
</span>
answer <span>36% of 745=268.2</span>
8 0
2 years ago
Given the recursive function f(n) = f(n - 1) - 3 ; f(1) = 9 , what would be the first three terms of the sequence ?
Ann [662]

The first three terms of sequence are 9 , 6 , 3

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

Given the recursive function f(n) = f(n - 1) - 3

Where f(1) = 9

To find: First three terms of sequence

Substitute n = 2 , n = 3 and n = 4 in given recursive function

When n = 2

f(n) = f(n - 1) - 3

f(2) = f(2 - 1) - 3

f(2) = f(1) - 3

f(2) = 9 - 3 = 6

f(2) = 6

Thus second term is 6

When n = 3

f(3) = f( 3 - 1) - 3

f(3) = f(2) - 3

f(3) = 6 - 3 = 3

f(3) = 3

Thus the third term is 3

When n = 4

f(4) = f( 4 - 1) - 3

f(4) = f(3) - 3

f(4) = 3 - 3

f(4) = 0

Thus the fourth term is 0

Thus first three terms of sequence are 9 , 6 , 3

6 0
3 years ago
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