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Alenkinab [10]
2 years ago
5

! URGENT ! -1 3/5 ÷ (-2/3) = ?

Mathematics
1 answer:
svetoff [14.1K]2 years ago
8 0

Convert 1 3/5 to an improper fraction;

-1 × 5 + 3/5 ÷ -2/3

Simplify 1 × 5 to 5

-5 + 3/5 ÷ -2/3

Simplify 5 + 3 to 8

-8/5 ÷ -2/3

Use this rule: a ÷ b/c = a × c/b

-8/5 × 3/-2

Use this rule; a/b × c/d = ac/bd

-8 × 3/5 × - 2

Simplify 8 × 3 to 24

-24/5 × -2

Simplify 5 × -2 to -10

- 24/-10

Move the negative sing to the left

-(-24/10)

Simplify 24/10 to 12/5

-(-12/5)

Simplify brackets

12/5

Convert to a mixed fraction

<u>= 2 2/5</u>

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PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.
Afina-wow [57]

Answer:

<em>A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters</em>

<em />

<em>B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters</em>

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<em>C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers</em>

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<em>D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers</em>

Explanation:

<u><em>A. Length of a tour bus.</em></u>

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

<u><em>B. Width of an apple.</em></u>

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

<u><em>C. Distance from Earth to a Satellite</em></u>

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

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<u><em>D. Thickness of a human hair</em></u>

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

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