MATHEMATICS HIGH SCHOOL

Will is building a playhouse for his cousin. He wants the playhouse to be 50 percent taller than his cousin, who is 46 inches tall. How tall should the playhouse be?

Answers

Answer 1

Answer:

Answer:

69 inches

Step-by-step explanation:

mutiply 46 and .50 then add that to 46 then you get your answer

Answer 2

Answer:

Final answer:

The playhouse should be 69 inches tall.

Explanation:

To ascertain the height of the playhouse, we embark on a straightforward calculation. It involves deriving 50% of Will's cousin's height and subsequently adding this value to the cousin's actual height. Starting with the cousin's height, which is 46 inches, we calculate half of it by multiplying 46 by 0.5, yielding 23 inches. This represents half of the cousin's height.

To determine the playhouse's overall height, we combine this value with the cousin's original height: 46 inches (cousin's height) + 23 inches (50% of cousin's height) equals 69 inches in total. Therefore, the height of the playhouse stands at 69 inches. This method showcases the application of percentages and simple addition to solve real-world problems, making it a valuable skill in practical mathematics.

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Answers

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Answers

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Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation 700 = (4000)(0.65)x and round the value of x to the nearest year.

Answers

Answer: 4 years

Step-by-step explanation:

The exponential decay equation is given by :_

$y=A(1-r)^x$ , where A is the initial population and r is the rate of decay in x years .

The initial population of trout in a certain stretch of a river =4000

The rate of decay = 35% =0.35

To find the number of years (x) for the population of trout be 700, we put all the values of the above equation, we get

$700=4000(1-0.35)^x\n\n\Rightarrow700=4000(0.65)^x\n\n\Rightarrow (0.65)^x=(700)/(4000)\n\n\Rightarrow(0.65)^x=0.175\n\n\text{Taking log on both sides, we get}\n\n\Rightarrow x\log(0.65)=\log(0.175)\n\n\Rightarrow x(-0.187086643357)=-0.756961951314\n\n\Rightarrow x=(-0.756961951314)/(-0.187086643357)\n\n\Rightarrow\ x=4.0460502029\approx4\text{ years}$

4.97991230017 years is the final answer. I would suggest rounding your answer to the nearest tenth, so 5 years should be your correct answer.

Whats The common denominator fractions for 1/2 and 1/4

Answers

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Answers

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Hope this helps you!!!!

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Answers

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