1) In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:7. If the bag contains 49 green sweets, how many red sweets are there?

Red sweets = 21

Step-by-step explanation:

Let there are 3x red sweets and 7x green sweets.

Total no of 49 green sweets.

ATQ,

7x = 49

x = 7

Red sweets = 3x

= 3(7)

= 21

Hence, there are 21 red 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