Answer: 26 minutes
Step-by-step explanation:
Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.
Time getting dressed = ¹/₃x
Eating breakfast = 10 mins
Making bed = 5 mins
¹/₃x + 10 + 5 = 35 ½
¹/₃x + 15 = 35 ½
¹/₃x = 35 ½ - 15
¹/₃x = 20 ½
x = 20 ½ / ¹/₃
= 61.5 minutes
Total morning routine is is 61.5 mins
Time taken to drive to work is;
= 61.5 - 35 ½
= 26 minutes
Answer: £11.69
Explanation:
1) Work out 2% of £1600:
1600 x 2/100 =36
2) Add it on to the original number to get his new monthly pay:
1600 + 36 = £1636
3) Work out his yearly pay by:
a) finding the amount of months he worked:
46 / 4 = 11.5 months
b) Divide 11.5 into 2 bits and add them on:
1636 x 11 = 17997
1636 x 0.5 = 818
17997 + 818 = £18814
4) To get his pay per week:
18814 / 46 = £409
5) Finally, to get his pay per hour:
409 / 35 = 11.68671...
= £ 11.69
Applying multiplication of functions, the total number of seats in the auditorium is given by:
h(x) = 80x² + 560x.
<h3>How polynomial functions are multiplied?</h3>
They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.
In this problem, the functions are given as follows:
Then the multiplication is:
h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.
More can be learned about multiplication of functions at brainly.com/question/13136492
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