Answer:
2 1/6 hours
Step-by-step explanation:
2 1/3 + 1 1/2 + x = 6
convert all mixed numbers to improper fractions
7/3 + 3/2 + x = 6/1
change all numbers to have a common denominator
14/6 + 9/6 + x = 36/6
combine like terms
23/6 + x = 36/6
subtract 23/6 from both sides
x = 13/6
convert improper fraction to mixed number
2 1/6
Ratio of odd numbers:even numbers
Odd numbers are - 9, 37, 1
Total odd numbers- 3
Even numbers are - 2, 4, 6, 8, 14
Total even numbers- 5
odd numbers:even numbers
Answer= 3:5
Answer:
Step-by-step explanation:
Given f(x)=
We have to find 
In order to find 
we have to make x as the subject of the formula
Let us assume f(x)=y
⇒
Subtracting both sides by 5
Dividing both sides by 2
⇒
Now substituting y with x
we have 
Now 
=
So option (ii) is correct
Answer:
45°
Step-by-step explanation:
Let's understand "supplement" and "complement" -- basics of geometry of angles.
- When we say two angles, a & b, are supplementary, we mean that both ADD up to 180.
- When we say two angles, a & b, are complementary, we mean that both ADD up to 90.
<em><u>If we have given an angle, such as "x", to find its supplement, we subtract the angle from 180. Similarly, we would need to subtract the angle x from 90 if we were to find the complement of the angle.</u></em>
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We want to find complement of 45, so we subtract 45 from 90 to get:
90 - 45 = 45°
Hence, the complement of a 45° angle = 45°
June: 30-6=24
July: 31
August:31
September:30
October: 8
Total=24+31+31+30+8=124 days
Discount period:
The period of time between the date a bill of exchange is drawn and the date on which payment is due.
So discount period = 200-124=76 days
