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frosja888 [35]
3 years ago
6

Darcy harvest 8 3/4 acres of corn every 5/6 of an hour. How many acres per hour?

Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

The answer is 10\frac{1}{2}\ per\ hour.

Step-by-step explanation:

Given:

Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.

Now, to find the acres per hour it takes to harvest.

Darcy harvest = 8\frac{3}{4}=\frac{35}{4}\ acres.

The time he took to harvest = \frac{5}{6}\ hour.

So, to get the acres per hour we put formula:

Distance = \frac{35}{4}\ acres.

Time=\frac{5}{6}\ hour.

Speed=\frac{distance}{time}

Speed=\frac{\frac{35}{4}}{\frac{5}{6}}

Speed=\frac{35}{4}\times \frac{6}{5}

Speed=\frac{210}{20}

Speed=\frac{21}{2}

Speed=10\frac{1}{2}\ per\ hour.

Therefore, the answer is 10\frac{1}{2}\ per\ hour.

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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

x2 = 2

x1 = 3

Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

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c = 4 - 15 = - 11

The equation becomes

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