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3 years ago

the scale of a map is 1 cm: 75 km what is the actual distance between two towns that are 3 cm apart on the map?

Mathematics

2 answers:

Juliette [100K]3 years ago

4 0

Answer:fghfhrfhghggghf

Step-by-step explanation:

UkoKoshka [18]3 years ago

4 0

Answer:

The distance between the two towns is 225 km.

Step-by-step explanation:

We are given the following information in the question:

The scale of map is:

$1\text{ cm}:75\text{ km}$

This means that a distance of 1 cm on map marks a distance of 75 km in reality,

We have to find the distance between two towns.

Distance between two towns on the map = 3 cm

Distance between towns =

We could use the concept of ratio to solve this problem:

$\displaystyle\frac{1}{75} = \frac{3}{d}\\\\\text{whered is the distance between the two towns}\\\Rightarrow d = 3\times 75 = 225$

Hence, the distance between the two towns is 225 km.

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3 years ago

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3 years ago

A metallurgist has one alloy containing 32% copper and another containing 65% copper. How many pounds of each alloy must he use

kompoz [17]

Answer:

<h2>30.67 pounds of 32% copper alloy and 10.33 pounds of 65% copper alloy</h2>

Step-by-step explanation:

First alloy contains 32% copper and the second alloy contains 65% alloy.

We wish to make 44 pounds of a third alloy containing 42% copper.

Let the weight of first alloy used be $x$ in pounds and the weight of second alloy used be $y$ in pounds.

Total weight = $44\text{ }pounds=x+y$ $-(i)$

Total weight of copper = $42\%\text{ of 44 pounds = }32\%\text{ of }x\text{ pounds + }65\%\text{ of }y\text{ pounds }$

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Subtracting 32 times first equation from second equation,

$32x+65y-32x-32y=1848-32\times44\\33y=440\\y=13.333\text{ }pounds \\x=30.667\text{ }pounds$

∴ 30.67 pounds of first alloy and 13.33 pounds of second alloy were used.

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3 years ago