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vredina [299]
3 years ago
5

In 2005 the city agency spent $2000 to buy pencils at a cost of $5 a dozen if the agency used 3/4 of these pencils in 2005 and u

se the same number of pencils in 2006 how many more pencils did it have to buy to have enough pencils for all of 2006?
Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0

Answer:the need to buy 3600 pencils.

Step-by-step explanation:

In 2005 the city agency spent $2000 to buy pencils at a cost of $5 a dozen. This means that the number of dozens of pencil that they bought in 2005 is

2000/5 = 400

There are 12 pencils in a dozen. Therefore, total number of pencils that they bought in 2005 is

400 × 12 = 4800 pencils

if the agency used 3/4 of these pencils in 2005, it means that the number of pencils that they used in 2005 is

3/4 × 4800 = 3600

The number of pencils left is

4800 - 3600 = 1200 pencils

If they use the same number of pencils in 2006, then the number of pencils that they have to buy is

4800 - 1200 = 3600 pencils

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Endpoint 1: (-1,2)<br> Midpoint: (9,-6)<br> Endpoint 2=
Vlad [161]

Answer:

(19 , -14)

Step-by-step explanation:

Find the distance in between each x & y for a coordinate.

Let: (x₁ , y₁) = (-1 , 2)

Let: (x₂ , y₂) = (9 , -6)

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From y₁ ⇒ y₂: -6 - 2 = -8 = 8*

*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.

The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:

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7 0
3 years ago
A map has a scale of 1:5000000000 .
erastova [34]

Considering the definition of scale, you obtain:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

<h3>Definition of map</h3>

A map is the conventional graphical representation of a portion of the earth or another celestial body that shows the size and position of elements of the landscape according to the selected scale and projection. That is, a map is a representation of a place, at a size smaller than the actual size.

<h3>Definition of scale</h3>

The scale of a cartographic representation, or map scale (m), is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. In general, it is also defined as the ratio of the lengths of a linear element in the plane and its representation on the terrestrial reference surface.

That is, the scale of the map is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

<h3>Real length of the road</h3>

A map has a scale of 1:5000000000. This indicates that 1 unit on the map is equivalent to 5,000,000,000 in reality.

You know that the road on the map is 10 cm or 0.0001 km long (knowing that 1 km= 100,000 cm).

Then you can apply the following rule of three: if by definition of scale 1 km on the map is equivalent to 5,000,000,000 km in reality, 0.0001 km on the map is equivalent to how much distance in reality?

real length of the road=\frac{0.0001 kmx 5,000,000,000 km }{1 km}

<u><em>real length of the road= 500,000 km</em></u>

Finally, the real length of the road is 500,000 km.

<h3>Real area of the farm</h3>

You know that the area of a farm of the map is 6 cm square, 0.0006 m sr 0.00000006 hectares (knowing that 1 cm square= 0.0001 m square and 10,000 m square= 1 hectare).

Then you can apply the following rule of three: if by definition of scale 1 hectare on the map is equivalent to 5,000,000,000 hectares in reality, 0.00000006 hectares on the map is equivalent to how much area in reality?

real area of the farm=\frac{0.00000006 hectaresx 5,000,000,000 hectares }{1 hectare}

<u><em>real area of the farm= 300 hectares</em></u>

Finally, the real area of the farm is 300 hectares.

<h3>Summary</h3>

In summary, you get:

  • the real length of the road is 500,000 km.
  • the real area of the farm is 300 hectares.

Learn more about scale:

brainly.com/question/15394385

brainly.com/question/27928319

brainly.com/question/11001778

brainly.com/question/23134978

#SPJ1

7 0
2 years ago
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