Answer:
25 seconds
Step-by-step explanation:
Hi there!
In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.
For machine A:

For machine B:

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.
Greetings!
For this case we have the following expression:

We must indicate the first step that allows to start the simplification of the expression.
It is observed that the first step to follow is to solve the square of the binomial that is in the numerator of the expression.

Answer:
Option A
Answer:
Step-by-step explanation:
define the function:

As both
and x are continuous functions,
will also be continuous.
Now, what can we say about
?
we know that
, thus:

thus
is non-negative.
What about
? Again we have:

That means that
is not positive.
Now, we can imagine two cases, either one of
or
is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point
for which
is a fixed point, because:

Now, if
and
, then we have that
and
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which
. And as we have shown before that point would be a fixed point. This completes the proof.
Answer:
14
Step-by-step explanation:
7/5. = x/ x- 4 (the ratio to each other is the same)
cross multiply
7x-28 = 5x
simplified: -2x = -28
divide x and -28 by -2
x= 14
x= # of girls
Answer: 56
Step-by-step explanation: