Answer:
together rate = 1/20 min/job
one comp. rate = 1/(x-9) min/job
2nd comp. rate = 1/x min/job
-------------------------------
Equation:
rate + rate = together rate
1/x + 1/(x-9) = 1/20
---
20(x-9) + 20x = x(x-9)
40x-9*20 = x^2-9x
---
x^2-49x + 180 = 0
Factor:
(x-45)(x-4) = 0
Realistic solution since 4-9 is negative:
x = 45 minutes
then
x-9 = 36 minutes (faster computer time to do the job)
Step-by-step explanation:
Answer:
The required division problem he must solve is:
Step-by-step explanation:
Consider the provided information.
Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.
As we know that the quotient of the number is a negative number.
Therefore, the sign of both numbers must be different,
Thus we can concluded he must select 
as one of the card, so that product is a negative number.
Let the selected card be x.
Hence, the two cards should be and 
The required division problem he must solve is:
Answer: Choice B
FH/FI = HG/IE
================================================
Explanation:
We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.
- E and G pair up because they are the first letters of EFI and GFH
- F and F pair up as they are the second letters
- I and H pair up because they are the third letters
This means
Furthermore, it means
- EF corresponds to FG
- FI corresponds to FH
- IE corresponds to GH
Focus on the last two items of the list above. We can then form the proportion
FI/FH = IE/GH
which is the same as
FH/FI = GH/IE
when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say
FH/FI = HG/IE
So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.
1.
In line with the test each person who came into interaction
with the infected person will become infected also. With this information, the
calculation would be: 9 people each day for 7days would be equivalent to 9 x 7
which equals 63 people.
2.
Here were 7 other people in the experiment if patient
zero is left out. If each person intermingled with 6 different people every day
in 7 days then the calculation would be: 7 people infected x 6 new people = 42
infected people each day
42 new people every day x 7 days = 294
infected persons.
