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kobusy [5.1K]
3 years ago
5

What is the standard form of 3^5​

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

3*3*3*3*3

Step-by-step explanation:

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Hannah has some pennies and some nickels. She has a maximum of 25 coins worth a minimum of $0.65 combined. If Hannah has 11 nick
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Answer:

Minimum number of pennies = 10

Step-by-step explanation:

Given:

Maximum number of coins Hannah have = 25

Total number of of nickels (coins) she has = 11

Total value of the combined coins = $ 0.65

We have to find the minimum number of pennies.

Let the number of pennies be "p"  and no. of nickels be "n".

Note:

Value of 1 penny = $ 0.01

Value of 1 nickel = $ 0.05

Arranging the above situation in terms of equations:

According to their quantities.

⇒ n+p\leq 25  and 11+p\leq 25 so p\leq 14

According to their values.

⇒ 0.05(n)+0.01(p)\leq \$\ 0.65

⇒ 0.05(11)+0.01(p)\leq \$\ 0.65

⇒ \$\ 0.55+0.01(p)\leq \$\ 0.65

⇒ 0.01(p)\leq \$\ 0.65-\$\ 0.55

⇒ 0.01(p)\leq \$\ 0.10

⇒ (p)\leq\frac{ \$\ 0.10}{0.01}

⇒ (p)\leq 10

Minimum number of pennies :

⇒ (p)\leq 10 which also satisfies p\leq 14

Therefore :

⇒ p=10

Plugging p= 10 we can verify the values.

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⇒ 0.55+0.10\leq \$\ 0.65

⇒ \$\ 0.65\leq \$\ 0.65

So,

Minimum number of pennies Hannah have = 10

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