There's 6 times as many dogs as cats. if the total number of dogs and cats is 35, how many dogs are there?

Let cats = X

Then doges = 6x ( 6 times as many cats, so multiply 6 by number of cats)

Now you have X + 6X = 35  ( number of cats plus number of doags equal 35)

X +6x = 35

Simplify:

7X = 35

Divide both sides by 7 to solve for x:

X = 35 / 7

X = 5

Cats = X, so there are 5 cats.

Dogs = 6X = 6(5) = 30 total dogs.

-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

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: