There are 16 boxes total, and 45 wheels total.
we know that each bicycle/tricycle is in it's own box.
i'm going to use the variable "b" for bicycle and "t" for tricycle
b + t = 16
(because b is the amount of bicycles and t is the amount of tricycles)
now we know that there are 45 wheels total.
there are 2 wheels for a bicycle and 3 wheels for a tricycle
2b + 3t = 45
now we have a system of equations
b + t = 16
2b + 3t = 45
You can solve this multiple ways, but I'm going to use substitution.
b + t = 16 can also be written as b = 16 - t (if you subtract both sides by t)
then we can substitute this b = 16 - t into the other equations
2(16 - t) + 3t = 45
32 - 2t + 3t = 45
32 + t = 45
t = 13
now you can plug that back into the original equations
b + 13 = 16
b = 3
2b + 3(13) = 45
2b + 39 = 45
2b = 6
b = 3
If you have any more questions, feel free to ask!
It equals 8 1/8 because 5 + 3 = 8 plus the 1/8
Answer:
Let us assume that √2 is a rational number.
So it can be expressed in the form p/q where p, q are co-prime integers and q≠0
√2 = p/q
Here p and q are coprime numbers and q ≠ 0
Step-by-step explanation:
√2 = p/q
On squaring both the sides we get,
=>2 = (p/q)2
=> 2q2 = p2……………………………..(1)
p2/2 = q2
So 2 divides p and p is a multiple of 2.
⇒ p = 2m
⇒ p² = 4m² ………………………………..(2)
From equations (1) and (2), we get,
2q² = 4m²
⇒ q² = 2m²
⇒ q² is a multiple of 2
⇒ q is a multiple of 2
Hence, p, q have a common factor 2. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number
√2 is an irrational number.
Answer:
the answer should be 273 cm^3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Where the question at