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Anastaziya [24]

2 years ago

13

A flower arrangement has seven carnations and 21 daffodils. What is the simplified ratio of carnations to daffodils in the arran

gement?

1 answer:

Nezavi [6.7K]2 years ago

8 0

Answer:

1 : 3

Step-by-step explanation:

Given :

Number of Carnation = 7

Number of Daffodils = 21

The number of carnation to daffodilswxoreaaed as a simplified ratio ;

Number of carnations : Number of Daffodils

7 : 21

7 / 21

1 / 3

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A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

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Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

so

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

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Find the value of y

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AleksandrR [38]

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