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Marianna [84]
3 years ago
12

Which of the following is a proportion? A. 4/6 = 6/9 B. 5/6 = 10/18

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
Hey there mate!

Your correct answer would be \left[\begin{array}{ccc}\boxed{\boxed{ 4/6 = 6/9}}\end{array}\right] This would be because 4/6 is almost 1 as a whole, and also, 6/9 is almost 1, as a whole, so this would totally make sense for this to be a proportional.

Hope this helps you budd!
ANEK [815]3 years ago
4 0
First, 5/6 = 10/18 is false. They do NOT equal to each other. However, 4/6 and 6/9 IS proportional because they equal one another.

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A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
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60a - 80a ≥ -64 -92

-20a≥-156

a≤156/20

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3 years ago
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