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xz_007 [3.2K]
3 years ago
9

£150 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

enry. How much does David get?
Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

David receives £90

Step-by-step explanation:

Let David's share be D

Let Mark's share be M

Let Henry's share be H

From the question, we obtained the following data:

David gets twice as much as Mark i.e

D = 2M

M = D/2

Mark gets three times as much as Henry i.e

M = 3H

H = M/3

H = (D/2) /3

H = D/6

The sum of their shares is £150 i.e

D + M + H = 150

D + D/2 + D/6 = 150

Multiply through by 6 to clear the fraction

6D + 3D + D = 900

10D = 900

Divide both side by the coefficient of D i.e 10

D = 900/10

D = 90

Therefore, David receives £90

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Rewrite 1/2*(5/6*6) using only the associative property.
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Answer:

(1/2 * 5/6) * 6

Step-by-step explanation:

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3 years ago
1. Name three examples of each of the types of properties of matter:
uysha [10]

Intensive properties and extensive properties are types of physical properties of matter. The terms intensive and extensive were first described by physical chemist and physicist Richard C. Tolman in 1917. Here's a look at what intensive and extensive properties are, examples of them, and how to tell them apart.


Intensive Properties

Intensive properties are bulk properties, which means they do not depend on the amount of matter that is present. Examples of intensive properties include:

Boiling point

Density

State of matter

Color

Melting point

Odor

Temperature

Refractive Index

Luster

Hardness

Ductility

Malleability

Intensive properties can be used to help identify a sample because these characteristics do not depend on the amount of sample, nor do they change according to conditions.


Extensive Properties

Extensive properties do depend on the amount of matter that is present. An extensive property is considered additive for subsystems. Examples of extensive properties include:

Volume

Mass

Size

Weight

Length

The ratio between two extensive properties is an intensive property. For example, mass and volume are extensive properties, but their ratio (density) is an intensive property of matter.

While extensive properties are great for describing a sample, they aren't very helpful identifying it because they can change according to sample size or conditions.


Way to Tell Intensive and Extensive Properties Apart

One easy way to tell whether a physical property is intensive or extensive is to take two identical samples of a substance and put them together. If this doubles the property (e.g., twice the mass, twice as long), it's an extensive property. If the property is unchanged by altering the sample size, it's an intensive property.

6 0
3 years ago
Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X
timama [110]

Circle A is missing, so i have attached it.

Answer:

∠XYZ = 35°

Step-by-step explanation:

We want to find the angle ∠XYZ in the image attached.

To solve that, we will use the formula in the theorem for angle formed by secants or tangents. Thus;

∠XYZ = ½(arc WZ - arc XZ)

From the image, arc WZ = 175° and arc XZ = 105°

Thus;

∠XYZ = ½(175 - 105)

∠XYZ = ½(70)

∠XYZ = 35°

5 0
3 years ago
Read 2 more answers
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