Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
Reduce the right:
Cross multiply:
So, the value of x is 11.4
And we're done!
70 cm
ex:
100 cm in a meter
so you’d do 100-30 cm
and that equals 70 centimeters
3/4 + 2/3 = 17/12
7/8 - 2/3 = 5/24
3/5 x 1/3 = 1/5
4/7 x 2/3 = 8/21
Class A: 6v + 8b = 202
Class B: 12v + 16b = 284
Solve using the elimination method:
since 6v and 12v are perfect for elimination, multiply the class A equation by 2 so that the van variable cancels out:
12v + 16b = 404
12v + 10b = 284
Then subtract the bottom equation from the top:
6b = 120
b = 20
Now you know that each bus can hold 20 students.
Just plug this into one of the original equations to solve for vans:
6v + 8(20) = 202
6v + 160 = 202
6v = 42
v=7
So then you know that each van can hold 7 students.
Check:
12 (7) + 10 (20) = 284
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