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TiliK225 [7]
3 years ago
12

In one of his orchards, a farmer harvested 270 apples but realized that 80 of them were unfit for consumption because they were

either overripe or ruined by insects. What percentage of apples were actually good for consumption?
Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer: 70.37\%

Step-by-step explanation:

Let be "x" the percentage of apples  that were actually good for consumption.

You know that total number of apples the farmer harvested was 270 apples.  

Then, you can identify that 270 apples represents the 100\%

You know that 80 of them were unfit for consumption, so the number of apples  that were good for consumption was:

270\ apples-80\ apples=190\ apples

Then, you can set up the  following proportion in order to find the percentage of apples  that were actually good for consumption:

\frac{100}{270}=\frac{x}{190}

Finally, you must solve for "x" in order to find its value. This is:

(190)(\frac{100}{270})=x\\\\x=70.37\%

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Answer:

Option (B)

Step-by-step explanation:

\begin{bmatrix}5 & 2 & 1\\ 7 & -5 & 2\\ -5 & 3 & 1\end{bmatrix}\times \begin{bmatrix}x\\ y\\ z\end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}

By applying multiplication property of the matrices,

\begin{bmatrix}(5x+2y+z)\\ (7x-5y+2z)\\(-5x+3y+z) \end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}

Therefore, system of equations formed will be,

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3 0
3 years ago
Read 2 more answers
A line is represented by the equation 2x + 3y = 15. What is another way to represent the same line, for solving Y ? Help is need
Lady bird [3.3K]

The another way to represent the same line, for solving y will be:  y= 5-\frac{2}{3}x

<u><em>Explanation</em></u>

Given equation of the line is:  2x+3y=15

"Solving y" means <u>we need to get</u> y <u>alone in left side.</u> So, we will eliminate all other terms except y from the left side.

First we will <u>subtract 2x </u>from both sides. So, we will get......

2x+3y-2x=15-2x\\ \\ 3y=15-2x

Now, we will <u>divide both sides by 3</u> for getting y alone. So.....

\frac{3y}{3}= \frac{15-2x}{3}\\ \\ y= 5-\frac{2}{3}x

Thus, the another way to represent the same line, for solving y will be:  y= 5-\frac{2}{3}x

7 0
3 years ago
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galina1969 [7]

Answer:

Your answer is.....

In every big pieces there will be 3 * 1/3 pieces.

So total 12 of 1/3 pieces

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

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Step-by-step explanation:

0.9(17) -2.7(3) =

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3 years ago
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