Given:
15% of its height each day
27 inches on day 10.
How tall was it yesterday?
27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.
27 ÷ 115% = 23.48 inches.
The plant was 23.48 inches tall yesterday.
To check:
23.48 x 15% = 3.52 inches
23.48 + 3.52 = 27 inches
Answer:
(13, 11)
Step-by-step explanation:
The vertex of g(x) = |x| is (0, 0).
When the function is transformed to ...
f(x) = g(x -h) +k
the vertex is moved to (h, k).
Here, we have (h, k) = (13, 11), translating the function to ...
f(x) = |x -13| +11
and moving the vertex to (13, 11).
Answer:
88.46%
Step-by-step explanation:
433 - 383 = 50
50 ÷ 433 = 0.1154
0.1154 x 100 = 11.54%
100% - 11.54% = 88.46%
<u>Check work:</u>
433 x 88.46% = 383
Answer: there are eight bicycles and 7 tricycles.
Step-by-step explanation:
Let x represent the number of bicycles that are there.
Let y represent the number of tricycles that are there.
There are a total of 15 bicycles and tricycles. This means that
x + y = 15
A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that
2x + 3y = 37- - - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
2(15 - y) + 3y = 37
30 - 2y + 3y = 37
- 2y + 3y = 37 - 30
y = 7
x = 15 - y = 15 - 7
x = 8
-3(y + 5) + 3(2y + 6)
-3y - 15 + 6y + 18
3y + 3
Answer:
3y + 3
Hope this helps.