Answer:
5 hours
Step-by-step explanation:
Mark recieves 3mg per hour. This can be rewritten as y=3x. Cassie recieves 2x+5. To solve, use substitiution. 3x=2x+5. To solve, subtract "2x" from "3x." You then get x=5.
The probability according to the given scenario will be "
".
According to the question:
- The odds against winning the lottery are 48,000,000 to 1.
- Favorable outcome = 1
→ The total outcome will be:
= 
= 
As we know,
→ 
By putting the values, we get
→ 
Thus the above response is right.
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Well, first, you need to know what you want to 'do' to it.
You want to find the description of what 'x' has to be in order to
make that inequality a true statement. Here's one way to do it:
4/5 x > 14
Multiply each side by 5 : 4 x > 70
Divide each side by 4 : x > 17.5 .
That's it. As long as 'x' is more than 17.5 ,
the original inequality is true.
Answer:
the nearest whole number is 8
Answer:
No solution
Step-by-step explanation:
We have

For the sum it is not correct to assume

Note that for

it is assumed
and in your case
for 
In fact, considering a set
we have
that satisfy 
This means that, by definition 
Therefore,

because the sum is empty.
For

we have other problems. Actually, this case is really bad.
Note that
has no value. In fact, if we consider for the case
, the cosine function oscillates between
, and therefore it is undefined. Thus, we cannot evaluate

and then

has no solution