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Dvinal [7]
3 years ago
7

Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide, if the reduced diagram

is 4 centimeters wide how long will it be?
Mathematics
2 answers:
fiasKO [112]3 years ago
8 0
x-length\\\\From\ proportion:\\\\\frac{30}{10}=\frac{x}{4}\\\\10x=120\ \ \ \ \ \ |:10\\\\x=12\\\\It\ will\ be\ 12\ cm\ long
sertanlavr [38]3 years ago
7 0

Answer:

12 cm


Step-by-step explanation:

This is a proportionality/similarity problem.

10 cm turned to 4 cm. So by how much has it decreased? In other words, <em>10 multiplied by </em><em>WHAT</em><em> is 4?</em>

10*x=4\\x=\frac{4}{10}\\x=0.4

0.4 is also known as the scale factor from the large diagram to the small diagram.

So how much would 30 cm become?<em> It would be 30 multiplied by the scale factor, which is </em><em>0.4</em><em>.</em>

30*0.4=12

<u>Hence, the length of the reduced diagram would be </u><u>12 cm</u><u>.</u>

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Kruka [31]

This question is incomplete.

Complete Question

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answer:

280 tons of wood.

Step-by-step explanation:

From the above question:

To make 1 ship = we require 40 tons of wood.

1 ship = can accommodate 300 sailors.

Step 1

If :

300 sailors = 1 ship

2100 sailors = y ships

Cross Multiply

300 × y ships = 1 ship × 2100 sailors

y ships = 2100 / 300

y ships = 7

Hence, 2100 sailors can occupy 7 ships.

Step 2

We are told in the question that:

Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

If:

1 ship = 40 tons of wood

Since 7 ships can accommodate 2100 sailors,

7 ships =

7 × 40 tons of wood = 280 tons of wood.

Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.

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