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3 years ago

Two consecutive positive integers form part of a Pythagorean triple. Always, never, or sometimes?

Mathematics

1 answer:

goldenfox [79]3 years ago

3 0

I believe the answer is sometimes. The most well known Pythagorean triple is 3,4,5.

3^2+4^2=5^2

9+16=25

25=25

However this is not always the case, for example,

8,15,17

is also a Pythagorean triple, but has no positive, consecutive, integers.

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You're making deliveries and can travel 484 miles on 22 gallons of gas. How far can

baherus [9]

836, because 484 divided by 22 is 22, so each gallon can do 22 miles. 38 times 22 is 836.

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3 years ago

A set of dolls is made so that the volume,V of each of them varies directly as the cube of its height h. The doll with a height

saveliy_v [14]

Answer:

A v=2.25 H=1

b. 5.625

Step-by-step explanation:

8 0

3 years ago

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Two buses leave a station at the same time and travel in opposite directions. One bus travels

natima [27]

Answer:

63 miles per hour

54 miles per hour

Step-by-step explanation:

Let the two buses be represented as bus A and bus B.

bus A and bus B leave a station at the same time and travel in opposite directions.

Let the speed of bus A be A miles per hour.

Let the speed of bus B be B miles per hour.

One bus travels 9 miles/hour slower than the other.

Let bus A be the faster bus.

This means that the speed of bus B is B = A - 9

If the two buses are 585 miles apart after 5hours, this means that after 5hours, the total distance travelled by bus A and bus B is 585 miles.

Distance travelled by bus A in 5 hours = speed × time = 5A

Distance travelled by bus B in 5 hours = speed × time = 5B

5A + 5B = 585 - - - - - -1

Substituting B = A - 9 in equation 1

5A + 5(A - 9) = 585

5A + 5A - 45 = 585

10A = 585 + 45 = 630

A = 630/10 = 63 miles per hour

B = A - 9 = 63 - 9 = 54 miles per hour

4 0

3 years ago

In 2 hours the minutes hand of a clock rotates through an angel of how many degrees?

Ipatiy [6.2K]

720° cause in 1 hour it rotates 360° meaning of you multiple by 2 it's 720°

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3 years ago

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Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car c

Doss [256]

Solution:

The first car can travel 75 miles on 5 gallons of gas.

So per mile gas consumed by car $=\frac{5}{75}=\frac{1}{15}$ gallon

The second car can travel 240 miles on 20 gallons of gas.

So per mile gas consumed by car $=\frac{20}{240}=\frac{1}{12}$ gallon

It mean Sam should rent the First car.

Sam is renting one of two cars to go on a 300-mile trip.

So total number of gallons of gas required $=\frac{1}{15}*300=20$

Total cost of 20 gallons of gas $=\frac{49.42}{14}*20= 70.6$ dollar

3 0

3 years ago