We know that
[volume of rectangular prism]=L*W*h
L= 6 in prism A
volume of rectangular prism A=6*w*h
L=6*(1/2)------> L=3 in prism B
volume of rectangular prism B=3*w*h
so
volume of rectangular prism B=[volume of rectangular prism A]/2
the answer is
Volume of B is 1/2 volume of A
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:
Step-by-step explanation:
<u>Given line:</u>
<u />
<u>The y-intercept is the point when x = 0:</u>
The point is (0, - 5)
<u />
<u>The x-intercept is the point when y = 0:</u>
- - x + 0 = - 5
- - x = - 5
- x = 5
The point is (5, 0)
The total amount that was spent is $6099
<h3>How to determine the total amount that was spent?</h3>
The given parameters are
Number of kids = 99
Pass = $56 per kid
Arcade game = $555
The total amount that was spent is calculated as
Total = Number of kids * Pass + Arcade game
So, we have
Total = 99 * 56 + 555
Evaluate the expression
Total = 6099
Hence, the total amount that was spent is $6099
Read more about expressions at
brainly.com/question/723406
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