Answer:
225 frogs
Step-by-step explanation:
Total population of frogs = 300 frogs.
Observed population of frogs = 24
6 of the 24 observed frogs had spots
Which means , the number of frogs that did not have spots = 24 - 6 = 18 frogs.
We were told to find how many of the total population can be predicted to NOT have spots. We would form a proportion.
If 24 frogs = 18 frogs with no spots
300 frogs = Y
Cross multiply
24Y = 300 × 18
Y = (300 × 18) ÷ 24
Y = 5400 ÷ 24
Y = 225 frogs.
This means out of 300 frogs, 225 frogs do not have spots.
Therefore, the total population that can be predicted to NOT have spots is 225 frogs.
the total population can be predicted to NOT have spots
Answer:
b = -1
Step-by-step explanation:
use distributive property to multiply the -2 with the numbers in the parentheses
3 - 2b + 4 = 2 - 7b
7 - 2b = 2 - 7b
add 2b to both sides
7 = 2- 5b
subtract 2 from both sides
5 = -5b
divide by -5
b = -1
Answer:
is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base =
, height of the box = x
Volume of square box = Area * height =
Differentiating the above equation and equating it to zero, we get –
d/dx
d/dx
= d/dx
d/dx
On solving above equation, we get –
There are two triangles: a small one to the left and a big one, which includes the small one. They both have a common angle (the leftmost angle) and since (we can assume) the two columns meet the floor at right angles, they both have two equal angles. This means they are similar (AAA).
Let the distance of the base of the stairs to the tallest column be d.
Because matching sides of similar triangles are in the same ratio,
4 / 6 = d / (6 + 12)
4 / 6 = d / 18
(4 * 18) / 6 = d
d = 12
The answer is C