Answer:
The answer is "GK=37, GH=14, and JK=19 ".
Step-by-step explanation:
In the question, an attachment file is missing.so, please find its attached file.
Given values:
GJ=4x+2
HK=6x-1
GK =37
Find:
HJ=?
GK = GJ+JK
= GJ+(HK-HJ)
= 4x+2+((6x-1)-x)
= 4x+2+6x-1-x
=
9x+1...(a)
Solve equation (a) and put the value of x in the equation:
=9(4)+1
=36+1
=37
find GH and JK=?
Given:
GK=37
Formula:
GH = GJ-HJ
= 4x+2- x
= 3x+2....(b)
Solve equation (a):
GK= 9x+1
37=9x+1
36=9x
x=4....(c)
put the value of equation (b) in equation (c)
GH = 3x+2
= 3(4)+2
= 12+2
= 14
Formula:
JK= HK-HJ
= 6x-1- x
= 5x-1
put the value of x in the above equation:
= 5(4)-1
= 20-1
=19
Answer:
<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>
Step-by-step explanation:
We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as:
.
So, if we apply this consideration to each case we have:
Using cold and hot water: 
Using only cold water: 
Using only hot water:
; because we don't knot the time it takes to fill the bathtub with hot water.
Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:

Solving the equation for <em>x: </em>

Therefore, it takes 36 minutes to fill the bathtub using just hot water.
Lets use the formula
to solve this, where,
- R is the rate
- W is the number of workers/things
- T is time
- J is number of jobs/things
<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -
W is 10 printers, T is 10 seconds, and J is 10 pages. We can write:

<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use
(previously found) to figure out T.</em>
<em>
</em>
So it will take 10 seconds for 50 printers to print 50 pages.
ANSWER: 10 seconds
Answer:
Step-by-step explanation:
a) probability a person admitted to the hospital will suffer a treatment-caused injury due to negligence
P(injury) = 4%
P(negligence) = 1/4 = 0.25
We need to find probability (injury)(negligence)
P(injury) * P(negligence) = 0.04*0.25 = 0.01
b) probability a person admitted to the hospital will die from a treatment-caused injury
P(injury) = 4%
P(death) = 1/7
P(Injury) *P(death) = 0.04/7 = 0.00571
c) In the case of a negligent treatment-caused injury, what is the probability a malpractice claim will be paid
P(claim) = 1/7.5
P(payment) = 1/2
P(claim)*P(payment) = 1/7.5 * 1/2 = 0.06
Answer: 5(3x+5)
Step-by-step explanation:
To factor this expression we need to pull out the greatest common factor of the 2 numbers, 15 and 25. This factor is 5.
Now divide both numbers by 5 and put a 5 on the outside of the new expression to look like:
and this is as far as it can be factored.