Answer:
Answer:4.8 monthsStep-by-step explanation:First, let's write down the information that we are given.Plant A: Initial Height: 3 in.Constant Rate of Growth (CRG): 2in/month (2 inches per month)Plant B:Initial Height: 1 in.CRG: 29in/year (29 inches per year)We can see that Plant B grows 29 inches per year, so lets convert Plant B's 'CGR' to months.Plant B - Divide by 12 (12 months in a year)29/12 in/yearNow, Lets put these into equations:Plant A: y = 2x + 3Plant B: y = 29/12 x + 1Now, set these two equations together and solve for x.2x + 3 = 29/12 x + 12 = 5/12 x4.8So, after 4.8 months, the plants will be the same height.
hope it helps you
Step-by-step explanation:
The property of translations on a coordinate plane, is pretty easy to remember, if you go up, you add to the y, if you go down, subtract from the y
If you go left, subtract from the x, if you go right, add to the x.
Example: State the number of moves the x and y variable in each vertex had to go through and what direction, (-100, 27) to (100,0)
Answer:
The x had to go through 200 moves to the right to add 200 onto the x
The y had to go through 27 moves to the left to subtract 27 from y.
Hope this helps!
Answer:
2^x = 1/4.
Step-by-step explanation:
log2 1/4 = x
By the definition of a log:
2^x = 1/4.
Answer:
Time taken by first team by their own = 10 days
Time taken by second team by their own = 15 days
Step-by-step explanation:
Given that:-
The ratio of the number of days taken by the first team to that of second team = 2:3
Let the number of days taken by first team = 2x days
Let the number of days taken by second team = 3x days
Let the work to be done = 6x units
So, Efficiency of first team = 6x units / 2x days = 3 units/day
Efficiency of second team = 6x units / 3x days = 2 units/day
If they work together they complete in 6 days, then total efficiency = 5 units/day
So,
5 units/ day * 6 days = 6x units
x = 5 units
Total work = 30 units
<u>Time taken by first team by their own = 30 units / 3 units/day = 10 days</u>
<u>Time taken by second team by their own = 30 units / 2 units/day = 15 days</u>
