There are 16 red shirts and some black shirts hanging in the store. the ratio of the number of red shirts to that of black shirts is 2: 3. if 5 red shirts are added into the box, what is the new ratio?

If 5 red shirts are added into the box,    7 : 8  is the new ratio.

Step-by-step explanation:

The number of red shirts =  16

Let the number of black shirts = k

Now as the ratio of Red Shirts : Black Shirt = 2 : 3

By RATIO OF PROPORTIONALITY:

⇒

or,

Hence, the number of Black Shirts in the Store = 24

Now, new number pf red shirts = 16 + 5 = 21

So, by the proportionality again,  ratio is

Hence, the new ratio of Red shirts : Black Shirts =  7 : 8

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: