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mixas84 [53]
3 years ago
11

Justify why a/b x b/c x c/d x d/ e is equal to a/e when b,c,d, and e are not zero?

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0
When you multiply fractions, you multiply across, right? so, for example 5/7 times 4/9 will give you 20/63. So, if you do this to this problem, you will have abcd/bcde. but now you are able to cancel out the b and c and d. think of it like reducing. 5/10 is 1/2. Why? because if you reduce/factor out a 5, you get a 1 in the numerator and a 2 in the denominator. same thing here; you can factor out a b, c, and d(because they show up in both num. and denom. so what you are left with is a/e. Cheers!
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Vilka [71]

(x^{2} +8x+16)(x^{2} -8x+16)\\(x+4)^{2} (x-4)^{2} \\(x^{2}-16)^{2} \\

it is true; just work them out, you should get what they got :))

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3 years ago
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Rewrite 4 6/7 as an improper fraction.
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HELP URGENT. The following sphere has a diameter of 18 cm. What is the volume of the sphere? Use 3.14 for and round your answer
Trava [24]

The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

<h3>What is the volume of the sphere?</h3>

The volume of  the sphere is the amount of space occupied within the sphere.

Volume of sphere is expressed as;

V = (4/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given that;

  • Diameter of the sphere d = 18cm
  • Radius r = d/2 = 18cm/2 = 9cm
  • Constant pi π = 3.14
  • Volume V = ?

V = (4/3)πr³

V = (4/3) × 3.14 × 9cm)³

V = (4/3) × 3.14 × 729cm³

V = 3052.1cm³

Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

Learn more about volume of hemisphere here: brainly.com/question/3362286

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6 0
2 years ago
Keisha pumped 6 gallons of water into her pool each minute for 48 minutes what was the total change in the amount of water in th
Eduardwww [97]

The total change in the amount of water in the pool is 288 gallons.

<h3>What is Volume?</h3>

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

Here, Rate of water pumped into her pool = 6 gallons / minute.

          Total Duration = 48 minutes

Total amount of water = Rate X Time

                                     = 6 X 48

                                     = 288 gallons

Thus, the total change in the amount of water in the pool is 288 gallons.

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brainly.com/question/1578538

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3 0
2 years ago
The relationship between 650 and 65
Brrunno [24]

Answer:

The ratio is 10 : 1, or 10 to 1

Step-by-step explanation:

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