Answer:
The fraction is
Step-by-step explanation:
Let the numerator be x and denominator be y
So, Fraction = 
Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4
So, Fraction becomes :
----1
We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2
So, Fraction becomes :
---- 2
Substitute the value of y from 2 in 1
Substitute the value of x in 2
So, Fraction = 
Hence The fraction is
Answer:
Question 2 = 15 drinks
Question 3 = 7/12
Step-by-step explanation:
Question 2:
For every drink, there are three sizes
Ratio = 1:3
There are 5 flavors
Multiply each side by 5
5:15
15 drinks
Question 3:
5 red, 6 yellow, 8 blue, 3 orange, 2 purple
Possible outcomes = 5 + 6 + 8 + 3 + 2 = 24 possible outcomes
Favourable outcomes = 6 + 8 = 14 favourable outcomes
Fraction = 14/24 = 7/12
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Answer:
There are 195 countries in the world today. This total comprises 193 countries that are member states of the United Nations and 2 countries that are non-member observer states: the Holy See and the State of Palestine
Not included in this total count of 195 countries are:
•Taiwan - the United Nations considers it represented by the People's Republic of China
•The Cook Islands and Niue, both states in free association with New Zealand which are members of several UN specialized agencies and have been recognized "full treaty-making capacity", but are neither member states nor non-member observer states.
•Dependencies (or dependent territories, dependent areas, dependencies) and Areas of Special Sovereignty (autonomous territories)
•Other countries recognized by the United Nations as not being self-governing
Answer:
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. The complete question is:
The 12 foot long bed of a dump truck loaded with debris must rise an angle of 30 degrees before the debris will spill out. Approximately how high must the front of the bed rise for the debris to spill out.
Solution:
Let x be the height of the front of the bed rise needed to be raised for the debris to spill out. We can find x using trigonometric identities. That is:
sin θ = opposite / hypotenuse
Using trigonometric identities, we can get that:
sin(30) = x / 12
This gives:
0.5 = x / 12
Cross multiplying the terms to get:
x = 12 * 0.5
x = 6 ft
Therefore the front of the bed rise must be raised 6 ft for the debris to spill out.
