We begin with 1,000 fish in a lake.
Each year the population declines to 15%
Then they put back 500 fish in the lake.
The equation: (1000 * .85) +500.
There are 5 squares of dimensions 3 x 3.
5 x (9) = 45 sq. in.
There are 4 right triangles of leg lengths of 6.
4 x (18) = 72 sq. in.
45 + 72 = 117 sq. in.
Answer:

Step-by-step explanation:
(Let the point where the altitude from
intersects
be called as point
.) First, let's find the area of parallelogram
. The area of a parallelogram is simply
, where
is the parallelogram's base and
is the parallelogram's height. If we let
and
be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram
will be
.
Now, how does this information matter, you might ask? Well, we can take either
<em>or </em>
to be the base and either
or
to be the height. In this case, let's take the latter two options, as we are looking to find the length of
.
Therefore, we know that the area of parallelogram
can also be found by calculating
. Since we know the values of the area and
, we can write the following equation to solve for
:

(Substitute
and
into the equation)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Hope this helps!
Amount of potatoes that Zoe has = 5 pounds
Quantity of potatoes that Zoe need for each recipe = 5/(3/4)
= 5 * (4/3)
= 20/3
= 6 2/3
From the above deduction, we can conclude that only 6 recipes can be made. The remaining amount of 2/3 will remain unused. I hope the procedure is clear enough for you to understand.
Answer:
y=8(0.5)^x
Step-by-step explanation:
We can find the value of b, which is the rate. The rate is 0.5 because the y value is consistently going down by 2. A is the first value, which is 8. y=8(0.5)^x