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USPshnik [31]
3 years ago
13

The longest human power sporting event is the tour de France cycling race in a particular year the average speed for the winner

of the this race was 23.66 mph in that same year of the race was 2292 miles long how long did it take the winner to complete the race
Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

The winner completed the race in 96 hours and 52 minutes.

Step-by-step explanation:

Given:

Distance of the cycling race = 2292 miles

Average speed of the winner = 23.66\  mph

We need to find time required by winner to complete the race.

Solution:

Now we know that;

Time required can be calculated by dividing Total Distance from the Average speed.

framing in equation form we get;

time required by winner to complete the race = \frac{2292}{23.66} = 96.87\ hrs

Now converting 0.87\ hrs into minutes we get;

0.87\times 60= 52.2\approx 52\ mins

Hence the winner completed the race in 96 hours and 52 minutes.

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If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in
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3 years ago
A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minut
Keith_Richards [23]

Answer:

90 degrees

Step-by-step explanation:

Complete question

A coffee is sitting on Mr. Hunt's desk cooling. It cools according to the function T=70(0.80)^x+20, where x is the time in minutes and T is the temperature in degree Celsius. WHAT IS THE INITIAL temperature of the coffee

The initial temperature occurs at x = 0

Substitute x = 0 into the expression;

T=70(0.80)^x+20

T =70(0.80)^0+20

Since any value raise to power of zero is 1, hence;

T = 70(1)+20

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Hence the initial temperature of the coffee is 90 degrees

3 0
3 years ago
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle
Rus_ich [418]

Answer:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

y = 2 x + 7

Step-by-step explanation:

Let x represent the smaller number and y represent the larger number.

<h2><u /></h2><h2><u>Part 1</u></h2>

Four times a number added to 3 times a larger number is 31.

<u>It is translated as:</u>

  • 4x + 3y = 31

<u>Then, solving for y:</u>

  • 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3

    ⇒  y= - 4/3x + 31/3

<u>Correct answer choice for this equation:</u>

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

<h2><u>Part 2 </u></h2>

Seven subtracted from the larger number is equal to twice the smaller number.

<u>It is translated as:</u>

  • y-7= 2x

<u>Then, solving for y:</u>

  • y-7= 2x ⇒ y= 2x+ 7

<u>Correct answer choice for this equation:</u>

y = 2 x + 7

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