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Gnom [1K]
3 years ago
12

Last year, 31 2 acres of strawberry fields produced approximately 14,700 pounds of strawberries. This year the number of acres p

lanted with strawberries increased to 5 acres. Use proportional reasoning to estimate the farm's income from the sale of strawberries this year.
Mathematics
1 answer:
USPshnik [31]3 years ago
5 0

So in 5 acres of land produces 21,000 pounds of strawberries.

Step-by-step explanation:

Step 1:

Last year, 3\frac{1}{2} acres i.e 3.5 acres produced 14,700 pounds of strawberries. So we need to determine how many strawberries were produced per acre.

To do this we divide the total number of strawberries produced by the number of acres it was produced in.

The number of strawberries produced per acre= \frac{14,700}{3.5} = 4,200 pounds.

Step 2:

To determine the number of strawberries in 5 acres of land, we multiply the number of strawberries per acre by the number of acres.

The number of strawberries produced in 5 acres= 5(4,200) = 21,000 pounds.

So in 5 acres of land produces 21,000 pounds of strawberries.

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Elsa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
charle [14.2K]

Heather runs 7 miles in 80 minutes.

At the same rate, how many miles would she run in 64 minutes?

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

7/80= x/63    |Cross Multiplying to solve for x

     x = 7*64/80

     x = 5.6mi

Hope this helps!

7 0
3 years ago
What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3
Rufina [12.5K]

Answer:

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1}  =\frac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of:

f(x)=-x^2+3x+6

Over the interval -3

Is:

f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Therefore, the average rate of change of this function over that interval is 3.

3 0
3 years ago
I’ll give the correct answer brainliest. Happy Halloween!
nignag [31]

Answer:

Correct answer is A 357,5

Step-by-step explanation:

8 0
3 years ago
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X-intercepts: (2.1, 0) and (-8.1, 0)

y-intercept: (0, -17)
8 0
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Mark is 7 years older than his brother, who is y years old. Which expression correctly represents Mark's age?
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7 + Y = X (x= His unknown age)



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