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Allisa [31]
3 years ago
10

Which property was used to simplify the expression? (3z)^2 = 3^2z^2 = 9z^2

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0
One of the product rules for exponents was used.
(ab)^{c}=a^{c}b^{c}

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
(3z)^{2}\\=(3z)(3z)\\=3\cdot 3\cdot z\cdot z\\=3^{2}z^{2}\\=9z^{2}
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vesna_86 [32]

Answer:

(Choice C) 24+12R ≤100

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Step-by-step explanation:

Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders.

1)

Which inequality describes this scenario?

Choose 1 answer:

(Choice A) 12+ 24R ≤ 100

(Choice B) 12+24R ≥ 100

(Choice C) 24+12R ≤100

(Choice D) 24+12 ≥100

2)

What is the least amount of additional money Sofia can spend to get the sushi they need?

ans) ___ dollars

please solve fast !!!! thank you from advance :)

The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders

Sofia has ordered 24 pieces

Sofia needs 100 pieces

sushi comes in rolls

12 pieces per roll

= 12R

24 + 12R ≤ 100

(Choice C) 24+12R ≤100

B.

24 + 12R ≤ 100

12R ≤ 100 - 24

12R ≤ 76

R ≤ 76 / 12

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