Stephen, Gavin and Jim share some sweets in the ratio 3:1:2. Stephen gets 24 sweets. How many sweets are there altogether?

Step-by-step explanation:

Stephen : Gavin : Jim

3 : 1 : 2

We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).

If Stephen gets 24 sweets, this means

3 parts = 24

So to find 1 part, divide 24 by 3.

1 part = 8 sweets

Now we can find the total by multiplying this by 6.

6 parts = 8 x 6 = 48 sweets.

-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

the answers are in the images, i received 100% on this assignment. hope this !