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dimaraw [331]
3 years ago
11

Student Weight of Backpack Amir 20,100 g Betty 19.2 kg Sandro 21,300 g Lea 20,120 g Maurizio 19.8 kg Students in Ms. Victoria’s

class have backpacks of different weights, as shown in the table. Which student’s backpack is the heaviest?
Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Hey there!

First, we should make sure all of these weights are in the same unit of measurement. Let's convert all the grams to kilograms.

In kilograms, we already have these students:

  • Betty, 19.2 kg
  • Maurizio, 19.8 kg

There are 1,000 grams in a kilogram, so divide the amount of grams by 1,000 to convert to kilograms.

20,100 ÷ 1,000 = 20.1 (Amir)

21,300 ÷ 1,000 = 21.3 (Sandro)

20,120 ÷ 1,000 = 20.12 (Lea)

So now we have (ordered from greatest to least):

  • 21.3 kg (Sandro)
  • 20.12 kg (Lea)
  • 20.1 kg (Amir)
  • 19.8 kg (Maurizio)
  • 19.2 kg (Betty)

<u>The student with the heaviest backpack is Sandro, with a backpack of 21.3 kg.</u>

Hope this helps!

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Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
xz_007 [3.2K]

Answer:

Total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

H = 4 + 2(0)

H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

But 6 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 2 km then

H = 4 + 2(2)

H = 8

Then total distance is

D + H + S

2 + 8 + 2

12 km

But 12 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 3 km then

H = 4 + 2(3)

H = 10

Then total distance is

D + H + S

2 + 10 + 3

15 km

Assuming that Sara covered 8 km then

H = 4 + 2(8)

H = 20

Then total distance is

D + H + S

2 + 20 + 8

30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

6 0
3 years ago
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