Answer:
18 marbles
Step-by-step explanation:
Step 1
Express the fraction of each type of marble as a function of the total number of marbles as shown;
Let;
total marbles=x
red marbles=3/(3+4)=3/7x
blue marbles=4/7 x
But x=42 marbles
The total number of marbles for each type can be expressed as;
total number of red marbles=fraction of red marbles×total number of marbles
where;
fraction of red marbles=3/7 x
total number of marbles=42
replacing;
total number of red marbles=(3/7)×42=18 marbles
total number of blue marbles=fraction of blue marbles×total number of marbles
where;
fraction of blue marbles=4/7 x
total number of marbles=42
replacing;
total number of blue marbles=(4/7)×42=24 marbles
The final price (what it is selling for) is $796.40
The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.
We need to find the original price.
We write this as an equation
The original price *110% = final price
This is because the original price is itself (100%) added with 10%
Plug in the known final price
Original Price * 110% = 796.40
Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.
Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)
110% = 1.1
So it is now
Original price *1.1 = 796.40
Divide both sides by 1.1 to isolate our unknown, the original price
Original price = $724
A+bi is the form of a complex number. a is on the x axis, bi is on the y axis:
3-4i ( x positive, y negative) Q4
-1-3i (both x, y negative) Q3
4+i ( both x, y positive) Q1
-2+2i (x neg, y pos) Q3
The answer is 6m - 6 = 8m + 4
Hope this helps please give brainless!!!
Democracy- The democracy is a government of the people by the people and for the people.
It means the room by the people.
It is a form of government in which the rulers are elected by the people.
Features of Democracy :
a) Major decisions by Elected Leaders :
In a democratic government the major decisions are taken by the leaders who are elected by the people of that country. These elected leaders represent the whole country so in this way the need of all people are satisfied.
b) Free and Fair Electoral Competition :
A democracy is based on a free and fair election where does currently in power have a fair chance of losing.
c) One Person, One Vote , One Value :
In a democratic country each and every adult is provided a single word which is having equal value. It means each what must have one value then that of other.
d) Rule of Law and Respect of Rights :
In democracy a country can be rule only within limits set by constitutional law and citizens' rights.
