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3 years ago

Y= -3x+4 standard form

Mathematics

1 answer:

Hunter-Best [27]3 years ago

8 0

Y = -3x + 4 = Slope-intercept form
Y + 3x = 4 = Standard form

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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 $y=0.25x$

Part D) $62.5$ acres of soybeans

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

$y/x=k$

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

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

3 years ago

Can someone help me and show your work thanks

GREYUIT [131]

Answer:

D) $8.20

Step-by-step explanation:

82 x 0.1 = 8.2

4 0

3 years ago

Read 2 more answers

Whats 150-x-2x=120+2x

Stels [109]

Answer:

X=6

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

I have 5 hungry brothers eating 192 pieces of candy every minute, how many pieces of candy will they have eaten in an hour?

Irina18 [472]

Answer:

11,520

Step-by-step explanation:

192×60

60 is the minute so

192×60=11520

7 0

2 years ago

How do you write 350% as a fraction or mixed number?

Natasha2012 [34]

Answer:

3 50/100 or 3 1/2

Step-by-step explanation:

Each 100% is one, so that would equal 3. There would be 50% left, and that would be 50/100 or 1/2.

7 0

2 years ago