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3 years ago

What’s 1/3x-5+171=171

Mathematics

1 answer:

jasenka [17]3 years ago

5 0

Answer:

x= 15

Step-by-step explanation:

Solve for x:

x/3 - 5 + 171 = 171

Put each term in x/3 - 5 + 171 over the common denominator 3: x/3 - 5 + 171 = x/3 - 15/3 + 513/3:

x/3 - 15/3 + 513/3 = 171

x/3 - 15/3 + 513/3 = (x - 15 + 513)/3:

(x - 15 + 513)/3 = 171

Add like terms. 513 - 15 = 498:

(x + 498)/3 = 171

Multiply both sides of (x + 498)/3 = 171 by 3:

(3 (x + 498))/3 = 3×171

(3 (x + 498))/3 = 3/3×(x + 498) = x + 498:

x + 498 = 3×171

3×171 = 513:

x + 498 = 513

Subtract 498 from both sides:

x + (498 - 498) = 513 - 498

498 - 498 = 0:

x = 513 - 498

513 - 498 = 15:

Answer: x = 15

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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

$y/x=k$

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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

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$k=0.25$

substitute

$y/x=0.25$

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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

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