Answer:
12 weeks
Step-by-step explanation:
Step one:
given data
let the heights of the plants be y
and the number of weeks be x
Plant A
y=3x+8.5--------------1
Plant B
y=2.5x+14.5----------2
Required
The number of weeks taken for both plants to have the same height
,equate the two expressions above
3x+8.5=2.5x+14.5
3x-2.5x=14.5-8.5
0.5x= 6
divide both sides by 0.5
x= 6/0.5
x= 12 weeks
f(x) = g(x) at x = 2.
In order to find this, you look for where the two graphs intersect. In this case, they intersect at the point (2, 5). At this point, both f(x) and g(x) both equal 5. So to identify the point, we need to look at the x value of the ordered pair, which is x = 2.
Answer:
See explaination
Step-by-step explanation:
Probability is the number of desired outcomes over the total outcomes.
1) You want to find Oranges, so that is your desired outcome:
There are 4 oranges in the bowl.
Now sum up all the fruits to get the total:
9+4+7+3+6 = 29
Therefore you have 4/29
2) Same idea, count the peaches and put it over total:
3/29
3) This time, you still want to use the same idea, but its just your desired outcomes that have increased. So instead of just having one fruit, now you want to add the total of 2 fruits as your desired outcome.
(9+4)/29
= 13/29
4) To find the probability of a fruit other than a plum, you can use complementary counting. Since the maximum probability is one, we can find what we dont want, and the outcome of that subtracted from one must be the results that we want.
So a plum is 6/29
1-6/29 = 23/29
5) Same idea as what is used in problems 3 and 4, just a combination of the 2.
(4+3)/29
1-7/29
= 22/29
Answer: Alberto caught up to Omar after 6 seconds, when Alberto had to run 54 meters.
Step-by-step explanation:
9514 1404 393
Answer:
2800 tiles
Step-by-step explanation:
Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...
(7 m²)/(0.0025 m²/tile) = 2800 tiles
It will take 2800 tiles to cover the entryway.
