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vesna_86 [32]
3 years ago
11

A farmer's land is separated into sections of size 3 3/4 acres. Suppose there are 2 1/5 such sections. How many acres of land do

es the farmer own?
Write your answer as a mixed number in simplest form.
Mathematics
2 answers:
Oksanka [162]3 years ago
5 0
This is a simple equation with fractions !!
Nadusha1986 [10]3 years ago
4 0

Answer:

This is simple multiplication of fractions, not too bad!

we have 2 7/9 sections of farmland, each 2 1/5 acres large. To find the total acreage, multiply 2 1/5 by 2 7/9. The first step here is to convert to improper fractions.

To convert to improper fractions, multiply the denominator of the mixed number by the "whole number" portion of it. Then, add the numerator of the mixed number. For example, for 2 1/5, I would multiply 5 * 2 to get 10, then add 1 to get 11. Then, I keep the original denominator, so 11/5.

Let's do the same for 2 7/9. 9 * 2 = 18, then add 7 to get 25. The improper fraction is 25/9.

Now, we multiply the two fractions. This is just multiplying both numerators and both denominators, straight across.

(11*25)/(9*5) = 275/45 => 55/9, so that's the total acreage, or in decimal form, about 6.11 acres.

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c_1\begin{bmatrix}3\\2\\1\end{bmatrix}+c_2\begin{bmatrix}-1\\-2\\-4\end{bmatrix}+c_3\begin{bmatrix}1\\1\\-1\end{bmatrix}=(0,0,0)\iff\begin{bmatrix}3&-1&1\\2&-2&1\\1&-4&-1\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix}=\begin{bmatrix}0\\0\\0\end{bmatrix}

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4 0
3 years ago
Question4..........................
belka [17]

Answer:

see explanation

Step-by-step explanation:

Given

- (\frac{2}{5} )²

The negative is outside the bracket and is not squared, that is

= - \frac{2}{5} × \frac{2}{5}

= - \frac{2(2)}{5(5)} = - \frac{4}{25}

Given

\frac{5^3}{3} = \frac{5(5)(5)}{3} = \frac{125}{3}

4 0
3 years ago
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