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.
Answer:
1 foot = 0.305 meters.
Convert 1 meter to feet:
1 meter = 1/0.305 = 3.28 feet
Find the weight in pounds per meter:
5 pounds x 3.28 feet = 16.4 pounds per meter.
Convert pounds per meter to kilograms per meter:
16.4 pounds x 0.454 kilograms per pound = 7.44 kg/m
Answer:
a. Blue and orange train lines
b. 2
c. Cadiz York
Step-by-step explanation:
Given: Venn diagram
To find:
a. train lines that have a stop at Jena
b. Number of stations along both the Purple Line and the Blue Line
c. stations that are along all three lines
Solution:
A Venn diagram is a pictorial representation of mathematical sets such that as circles are drawn within a rectangle which represents an universal set.
a. Blue and orange train lines have a stop at Jena.
b. Volos Bern and Cadiz York lie in the intersecting part of blue line stations and purple line stations.
So,
Number of stations along both the Purple Line and the Blue Line = 2
c. Cadiz York lie in the intersecting part of blue line stations, purple line stations and orange line stations.
So, Cadiz York lie along all three lines
16% is the correct answer for this question.
