Round 3 047 398 to the nearest 1 000 000
2 answers:
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Answer:
15 years old
Step-by-step explanation:
Start by defining the variables that we are going to use throughout our working:
Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.
Next, form equations using the given information.
<u>5 years </u><u>ago</u>
Wei Ling: (L -5) years old
Wei Xuan: (X -5) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,
Cross multiply:
2(X -5)= 5(L -5)
Expand:
2X -10= 5L -25
2X= 5L -25 +10
2X= 5L -15 -----(1)
<u>9 years time</u>
Wei Ling: (L +9) years old
Wei Xuan: (X +9) years old
Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,
Cross multiply:
3(X +9)= 4(L +9)
Expand:
3X +27= 4L +36
3X= 4L +36 -27
3X= 4L +9 -----(2)
Let's solve using the elimination method.
(1) ×3:
6X= 15L -45 -----(3)
(2) ×2:
6X= 8L +18 -----(4)
(3) -(4):
6X -6X= 15L -45 -(8L +18)
0= 15L -45 -8L -18
0= 7L -63
7L= 63
L= 63 ÷7
L= 9
Substitute L= 9 into (1):
2X= 5(9) -15
2X= 45 -15
2X= 30
X= 30 ÷2
X= 15
Thus, Wei Xuan is 15 years old now.
The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph attached.
<h3>What is Inequality ?</h3>When two algebraic expressions are equated by an inequality operator then the mathematical statement formed is called inequality
It is given that a line passes through the points (0, 1) and (2, minus 1)
The equation of the line representing this is given by
y = mx+c
m = -1
y = -x+1
and the other line passing through the points of (0, minus 3) and (2, 1) is
m = 2
y = 2x -3
These are plotted on the graph
From intersection, region to the right of it is A, below is D, to the left is C, and above is B.
These are noted ion the graph
Then the inequalities are plotted y ≥ 2x − 3 and y ≤ -x + 1
The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is given by C region , This can be clearly understood from the graph.
To know more about Inequality
#SPJ1
The intersection of A and B, denoted by A ∩ B, is the set of all things that are members of both A and B.