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lana [24]
3 years ago
13

Time varies inversely with speed if the distance is constant. It takes James 4 hours to get to his destination when he travels a

t 65 miles per hour. How many minutes would he have saved if he drove the same distance 15 per hour faster?
Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

Step-by-step explanation:

Time varies inversely with speed if the distance is constant. This means that if speed increases, the time it will take to cover the same distance will reduce

t = k/s

Where t = time

k = constant of inverse proportionality

s = speed

It takes James 4 hours to get to his destination when he travels at 65 miles per hour

4 = k/65

k = 65×4 = 260

t = 260/s

If he drove 15 miles/ hour faster, the new speed is 65 + 15 = 80miles/hour.

The time it will take him is

t = 260/s

t = 260/80 = 3.25 hours

The amount of time he would save is

4 hours - 3.25 hours = 0.75 hours

Converting 0.75 hours to minutes, we multiply by 60

Amount if time saved in minutes = 0.75×60 = 45 minutes

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If you take the total of 32 and divide it by 16 (the number of ounces a pint container can hold), you get 2 which is the number of pint containers you need to get 32 fluid ounces


5 0
3 years ago
Of the labeled points, which represents the animal
Paha777 [63]

The ratio of life expectancy to gestation period is greatest at point (A) A.

<h3>What is life expectancy?</h3>
  • Life expectancy is a statistical measure of how long an organism is expected to live based on its birth year, current age, and other demographic factors such as gender.
  • The most commonly used metric is life expectancy at birth (LEB), which has two definitions.

To find the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest:

  • The graph below shows life expectancy on the y-axis and gestation period on the x-axis.
  • The life expectancy to gestation period ratio for point A is 7/22.5 = 14/45.
  • For point B, the ratio is 8/45.
  • Because the y coordinate is greater at Y than at X, which has the same x coordinate, we only consider the ratio at D, which is 10/51.
  • Since 14/45 > 8/45, we only have to compare 14/45 and 10/51.
  • So, 14 × 51 = 714 and 45 × 10 = 450.
  • Then, 14/45 > 10/51.

Therefore, the ratio of life expectancy to gestation period is greatest at point (A) A.

Know more about life expectancy here:

brainly.com/question/4648168

#SPJ4

The correct question is given below:
Of the labeled points, which represent the animal for which the ratio of life expectancy to gestation period is greatest?

A) A

B) B

C) C

D) D

8 0
2 years ago
2-3(5-6)³-4(-3)+16÷8(-3)<br>step by step please and thank you!​
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Answer:

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Step-by-step explanation:

2 -3(5 -6)^3 -4(-3) +16 \div 8(-3) \\ 2 -3(-1)^3 -4(-3) +16 \div 8(-3) \\ 2 -3(-1) -4(-3) +16 \div 8(-3) \\ 2 +3 +12 +2(-3) \\ 2 +3 +12 -6 \\ 5 +12 -6 \\ 17 -6 \\ 11

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These inventory problems are tedious. Since you seem to have lot of them, maybe you can make yourself a spreadsheet to work them.

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