Sam's test scores increase proportionally by 5 points for each hour she spends studying. How many points would her score increas
2 answers:
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Answer:
a. Area = 1.94m²
b. Area = (p² + 0.5)m²
c. Height = 1.5m
Step-by-step explanation:
Given
<em>Let H represents Height and A represents Area</em>
<em>From the first and second statements, we have that:</em>
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<em>a. Calculating Area When Height = 1.2</em>
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<em>Substitute 1.2 for H</em>
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Hence, the area is 1.94m²
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<em>b. Calculating Area When Height = p</em>
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<em>Substitute p for H</em>
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Hence, the area is (p² + 0.5)m²
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c. <em>Calculating Height When Area = 2.75m</em>²
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<em>Substitute 2.75 for A</em>
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<em>Subtract 0.5 from both sides</em>
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<em>Take Square Root of both sides</em>
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Hence, the height is 1.5m
Answer:
Step-by-step explanation:
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
Let x be the distance in miles between airport and Ann's home. The fare per mile taxi ride is $2.10, therefore, the fare for x miles of taxi ride will be 2.10x.
We can see that $5 will be constant value for our equation as it will remain same. will be total amount paid by Ann for x miles of taxi ride including tip.
We can write an equation to determine the distance between airport and Ann's home by equating fare of x miles plus tip given by Ann's to driver with total amount paid by Ann.
Therefore, an equation representing the distance in miles between airport and Ann's home will be .