Using a system of equations, it is found that £52 was originally shared.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: Angela's share.
- Variable y: Michelle's share.
- Variable z: Daniel's share.
Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:
.
Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:
30t = 20 x 78
t = 20 x 78/30
t = £52.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
Step-by-step explanation:
favorable events=x
total number of events=x+y
P=(favorable events)/(total number of events)=x/(x+y)
The given equation is an equation of a circle because it looks similar to the general equation of a circle.
<h3>What is the general equation of a circle?</h3>
The general equation of a circle is:
x² + y² +2gx + 2fy + c = 0...........eq1
Where (-g, -f) is the center of the circle.
c is a constant
Given equation is
3x² +6x + 3y²+7y+4 = 0
Let us take 3 as common
x² + 2x+y²+7/3y + 4/3 = 0
Let us rearrange the equation
x² + y²+2x +7/3y + 4/3 = 0...........eq2
Now look at eq1 and eq2
We got that eq2 is having a similar pattern as eq1.
Therefore, The given equation is an equation of a circle.
To get more about circle visit:
brainly.com/question/1506955
The prime numbers between 40 and 50 are:
41
43
47
Answer:
1st option
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use (3, 8 ) , that is x = 3 when y = 8 , then
8 = 
( multiply both sides by 3 )
24 = k
y = 
← equation of variation
