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lesya [120]
2 years ago
9

Please help me answer these questions

Mathematics
1 answer:
AfilCa [17]2 years ago
6 0
(a) (3a⁴)³ = 3³a³*⁴ = 9a^12
(b) (2m³)⁶ = 2⁶m⁶*³ = 64m^18
(c) (7p⁵)² = 7²p²*⁵ = 49p^10
(d) (10k²)⁴ = 10⁴k⁴*² = 10000k⁸
(e) (5t^11)³ = 5³t^11*³ = 125t³³
(f) (x³y²)⁵ = x⁵*³y⁵*² = x^15y^10
(g)(m⁴n⁶)³ = m³*⁴n³*⁶ = m^12n^18
(h) (p⁷q³)⁴ = p⁴*⁷q⁴*³ = p²⁸q^12
(i) (a⁴b^10)² = a²*⁴b²*^10 = a⁸b^20
(j) (2x⁵y²)³ = 2³x³*⁵y³*² = 8x^15y⁶
(k) (3x⁷y⁴)³ = 3³x³*⁷y³*⁴ =27x^21y^12
(l) (5p²q⁴)³ = 5³p³*²q³*⁴ =125p⁶q^12

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Aubrey's dinner cost \$85$85dollar sign, 85. She tips the waitstaff 30\%30%30, percent for excellent service.
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<h3><u>Question:</u></h3>

Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?

<h3><u>Answer:</u></h3>

Aubrey paid $ 25.5 to the wait staff

<h3><u>Solution:</u></h3>

Given that, Aubrey's dinner cost $ 85

She tips the waitstaff 30% for excellent service

We have to find the amount paid as tip to wait staff

Cost = $ 85

Tip = 30 %

So the tip amount paid is 30 % of 85

<h3><u>Find out 30 % of 85</u></h3>

Tip\ Amount = 30 \% \times 85\\\\Tip\ Amount = \frac{30}{100} \times 85\\\\Tip\ Amount = 0.30 \times 85\\\\Tip\ Amount = 25.5

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