In the last hour ellie observed 32 monarchs 56 gulf fritillaries and 8 giant swallow tails visit her butterfly garden. If 480 butterfly's visit her garden how many can we expect that will be giant swallow tails

We can expect 40 giant swallowtails if 480 butterflies come to the garden.

Step-by-step explanation:

Step 1:

First, we determine how many butterflies visited in the hour that Ellie observed.

32 monarchs + 56 gulf fritillaries + 8 giant swallowtails = 96 butterflies.

So if 96 butterflies visit the garden, 8 of them are giant swallowtails.

Step 2:

If we multiply 96 by 5, we get 480.

So if we need to determine how many giant swallowtails will be in 480, we multiply 5 with 8.

If 8 giant swallowtails are in 96 butterflies, then the number of giant swallowtails in 480 butterflies

So we can expect 40 giant swallowtails if 480 butterflies come to the garden.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3