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3 years ago

Kevin has 4.85 in nickels and dimes. if he has fewer dimes than nickels, how many coins does he have altogather?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

3 0

Answer:

49 coins.

Step-by-step explanation:

It takes 10 dimes to equal a dollar, therefore fourty dimes equals four dollars.

Eight more dimes for the eighty cents, and one nickel for the 5 cents.

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3 years ago

If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?

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Answer:

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Step-by-step explanation:

We know distance formula,

D = RT

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R is rate

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Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

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and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

$40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}$

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

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3 years ago

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Answer:

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2 years ago

Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili

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Answer:

$P(p>0.43) = 0.0436$

Step-by-step explanation:

Given

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$n = 781$ --- selected sample

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First, calculate the z score using:

$Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$

This gives:

$Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}$

Convert % to decimal

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}$

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$Z = \frac{0.03}{0.01752992669}$

$Z = 1.71$

So:

$P(p>0.43) = P(Z>1.71)$

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2 years ago

Kevin has 4.85 in nickels and dimes. if he has fewer dimes than nickels, how many coins does he have altogather?​

Kevin has 4.85 in nickels and dimes. if he has fewer dimes than nickels, how many coins does he have altogather?