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2 years ago

How long does it take the penguin to walk 45 feet?

Mathematics

1 answer:

Pavel [41]2 years ago

7 0

You have not mentioned any imformation such as speed of the penguin

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What is 2 and 2/3 x 1 and 1/3

sashaice [31]

Anything multiplied by one is the same so it wold stay at 2 2/3

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2 years ago

0.73 divide by 10=? Answer please

d1i1m1o1n [39]

.073 is the answer to the question

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3 years ago

Read 2 more answers

Peter's suitcase weighs 14 2/5 pounds, and he adds 3/5 pounds each minute. William's suitcase weighs 48 pounds, and he removes 4

Mademuasel [1]

After 25 minutes both bags of Peter's suitcase will have same weights.

<u>Solution:</u>

Given, Peter's suitcase weighs $14 \frac{2}{5}=\frac{14 \times 5+2}{5}=\frac{72}{5} \text { pounds }$

And he adds $\frac{3}{5}$ pounds each minute.

Then, series of his bag weights will be $\frac{72}{5}+\frac{3}{5}+\frac{3}{5}, \ldots \ldots \ldots \ldots$

This forms an Arithmetic progression $\rightarrow \frac{72}{5}, \frac{75}{5}, \frac{78}{5}, \ldots . \text { with first term } \mathrm{a}=\frac{72}{5} \text { and common difference } \mathrm{d}=\frac{3}{5}$

William's suitcase weighs 48 = $\frac{240}{5}$ pounds, and he removes $\frac{4}{5}$ pounds each minute.

Then, series of bag weights will be $\frac{240}{5}, \frac{240}{5}-\frac{4}{5}, \frac{240}{5}-\frac{4}{5} \ldots \ldots \ldots \ldots \ldots \ldots$

This forms an A.P $\rightarrow \frac{240}{5}, \frac{236}{5}, \frac{232}{5}, \ldots \ldots \text { with first term }=\frac{240}{5} \text { and common difference } \mathrm{d}=\frac{-4}{5}$

After how many minutes will the weight of both suitcases be the same?

So, now we have to equate nth terms of above two series to get the answer.

Then, nth term of peters series = nth term of Williams series

nth term = a + (n – 1)d

$\begin{array}{l}{\frac{72}{5}+(n-1) \frac{3}{5}=\frac{240}{5}+(n-1) \frac{-4}{5}} \\\\ {(n-1) \frac{3}{5}+(n-1) \frac{4}{5}=\frac{240}{5}-\frac{72}{5}} \\\\ {(n-1) \frac{3+4}{5}=\frac{240-72}{5}} \\\\ {(n-1) \frac{3+4}{5}=\frac{240-72}{5}} \\\\ {(n-1) \frac{7}{5}=\frac{168}{5}} \\\\ {(n-1) \times 7=168} \\\\ {(n-1) \times 7=168} \\\\ {n-1=\frac{168}{7}} \\\\ {n-1=24} \\\\ {n=24+1=25}\end{array}$

Hence after 25 minutes both bags will have same weights.

3 0

3 years ago

Carlos needs to memorize words on a vocabulary list for French class. He has memorized 30 of the words, which is three-fifths of

sergey [27]

A neat trick for this problem is that you can easily multiply 3 by a number to make it 30. (3x10=30). using the same number, multiply it by the denominator. 5x10=50. the answer is 50 (3/5 x 10/10 = 30/50 without changing the original ratio)

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3 years ago

Help Me Please!

Art [367]

I am not sure about the equation...
but...vertical angles are congruent...so < x = < y

< y forms a straight line with 80 and 60.....a straight line measures 180 degrees.....so y = 180 - (80 + 60) = 180 - 140 = 40

therefore, the measure of < x is 40

7 0

2 years ago