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Bess [88]
3 years ago
13

A machine that cost £35,000 is operated 8 hours a day in a 5-day week but one hour each day is used for test purposes. For use o

f the machine there are three scales of charges, the first at the rate of £5 an hour for private use, the second at £15 an hour for research work and the third at £40 an hour for commercial work. It is estimated that the number of hours charged at the first, second and third rates are in ratios 4:2:1. What percentage of total receipts do receipts from commercial work represent?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0
Total ratio = 4 + 2 + 1 = 7 

Unit of one ratio = 35/7 = 5
So, Number of Hours for commercial work = 5(1) = 5

Total receipt = 20 * 5  +  15 * 10  + 1 * 40 = 100 + 150 + 40 = 290
<span>Commercial work receipt = 1 * 40 = 40

So, % = 40/290 * 100

= 400/29
= 13.79%

In short, Your Answer would be: 13.79%

Hope this helps!

</span>
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Complete question:

Two six-sided dice are rolled (one red one and one green one). Some possibilities are (Red= 1, Green=5) or (Red=2, Green=2) etc.

a)How many total possibilities are there?

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Kindly check explanation

Step-by-step explanation:

Total probabilities :

Total possible outcomes on each dice = 6

Total probabilities = 6² = 36

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The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

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The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

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