Answer:
2³ · 11
Step-by-step explanation:
88
2 44
2 22
2 11
Prime factorization: 2³ · 11
A family has 8 girls and 4 boys. A total of 3 children must be chosen to speak on the behalf of the family at a local benefit. What is the probability that no girls and 3 boys will be chosen?
D. 1/55.<span />
1- Solution using graphs:Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.
2- Solution using substitution:The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II
Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.
Hope this helps :)
The answer is D. He divided both sides by 5 instead of dividing both sides by -5.
Answer:
B. There were 60 nano-related patents granted in 1991
Step-by-step explanation:
In the expression:
60⋅1.2^t
t is years after 1991, that is, in the year 1993, t = 2
60 is the value of the expression at t = 0, then it represents the amount of nano-related patents granted in 1991