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belka [17]
3 years ago
8

George is building a fence. He builds his fence at a constant rate of 1/3 section of fence every 1/2 hour. At this rate, which f

raction represents the section of fence George can build per hour? Enter your answer as a fraction. (Type as a decimal, round to the hundredths place)
Mathematics
1 answer:
stiv31 [10]3 years ago
6 0
Answer:
Fraction of fence = 2/3 which is approximately 0.67

Explanation:
We know that he finishes 1/3 of the fence in 1/2 an hour. To know the fraction he can finish in one hour, we will simply use cross multiplication as follows:
1/3 of the fence ...................> 1/2 an hour
?? of the fence ....................> 1 hour
Fraction of the fence = (1/3 * 1) / (1/2)
Fraction of fence = 2/3 which is approximately 0.67

Hope this helps :)
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What is an equation of the line that passes through the point (1,-3) and is perpendicular to the line x+3y=21
docker41 [41]

The linear equation that is perpendicular to the line x+3y=21 is:

y = 3*x - 6

<h3>How to find the equation of the line?</h3>

A general line in the slope-intercept form is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

Two linear equations are perpendicular if the product between the two slopes is equal to -1.

Rewriting the given line we can get:

x +3y = 21

3y = 21 - x

y = 21/3 - x/3

y = (-1/3)*x + 21/3

Then the slope is (-1/3), if our line is perpendicular to this one, then:

m*(-1/3) = -1

m = 3

our line is:

y = 3*x + b

To find the value of b, we use the fact that our line passes through (1, - 3)

-3 = 3*1 + b

-3 - 3 = b

-6 = b

The line is y = 3*x - 6

Learn more about linear equations:

brainly.com/question/1884491

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3 0
1 year ago
Please help me I will give you 12 points and brainliest.
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Answer:

C. (-1, -6)

Step-by-step explanation:

Hope this helps :)

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3 years ago
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