Answer:
Marty's with a slope of 1/3
Step-by-step explanation:
edge2021
Let workout Plan A last a hours, and Plan B last b hours.
we are assuming personal training for each client.
i)
"On Monday there were 2 clients who did Plan A and 3 who did Plan"
the total time spent is : 2*a + 3*b =2a+3b
ii)
"On Tuesday there were 4 clients who did Plan A and 8 who did Plan B"
the total time spent was 4*a+8*b=4a+8b
iii) "Joe trained his Monday clients for a total of 7 hours"
so 2a+3b = 7
iv)
"Joe trained his Tuesday clients for a total of 17 hours"
so 4a+8b=17
v) thus we have the following system of equations:
2a+3b = 7
4a+8b=17
multiply the first equation by -2, and then add both equations, to eliminate a:
-4a-6b=-14
4a+8b=17
-------------------
2b=3, so b=3/2
2a+3b = 7
2a+3(3/2)=7
2a+9/2=7
multiply by 2:
4a+9=14
4a=5
a=5/4
Answer :
Plan A lasts 5/4=1.25 h
Plan B lasts 3/2=1.5 h
Answer:
0.072 or .072
Step-by-step explanation:
0.72 is ten times as much as 0.072.
0.072 times 10 is .72.
0.72 / 10 = 0.072 .
Answer: Option C)1 over 15 minus 1 over x equals 1 over 20
Explanation:
Since, Micah can fill a box with books in 15 minutes.
Therefore, the work done by Micah in one minute= 1/15
Also, Sydney takes the books out puts them on a shelf.
And the times taken by Micah when Sydney is also taking the books outside from the self= 20 minutes
Therefore, the work done by Micah in one minute when Sydney taking books out of the box= 1/20
Let Sydney alone takes x minutes to take books outsides the shelf.
Then, work done by Sydney in one minute=1/x
Thus, the work done by Sydney( by taking books out of the box)= the work done by Micah - work done by Micah and Sydney simultaneously= 1/15-1/20
⇒1/x=1/15-1/20
⇒1/15-1/20=1/x
⇒1/15-1/x=1/20 is the required expression.
Therefore, Option C is correct.