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lorasvet [3.4K]
2 years ago
14

A grocer has 18kg of black tea worth 3.5per kg. She wants to mix

Mathematics
1 answer:
fenix001 [56]2 years ago
3 0

The question is incomplete, the complete question is;

A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?

Answer:

36

Step-by-step explanation:

Let the weight of the green tea used be x kg.

From the question:

We have:

18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63

Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x

Total weight of the mixture is 18 + x kg.

Total cost of the mixture is = $2.9 (18 + x)

Thus,

Total cost of black tea + total cost of green tea = Total cost of the mixture

$63 + $2.6 x = $2.9 (18 + x)

$63 + $2.6x = $52.2 + $2.9x

63 – 52.2 = 0.3 x

10.8 = 0.3 x

x = 10.8/0.3

x = 36

36 kg of green tea is needed

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The complete similarity transformation is: triangle abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].​

<h3><u>What is Similarity?</u></h3>
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From the figure, we have:

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So, the scale factor (k) is:

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Also, both shapes are on either sides of the x-axis, and they are equidistant from the x-axis.

This means that the triangle is reflected across the x-axis with no translation.

Hence, the complete similarity transformation is: abc was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [0].​

So, the scale factor is 2

Know more about Similarity with the help of the given link:
brainly.com/question/12670209

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