Abox contains 100 colored chips; some are pink and some are blue. milton chooses a chip at random, records the color, and places it back in the bag. milton has recorded 12 pink chips and 18 blue chips. using these results, what is the predicted number of pink chips in the box?

Using these results, we can set up some ratios to help us find out the predicted number of each colored chip. so we can find out how many chips have been picked in total by adding 12 + 18 = 30.

12/30 chips are pink

18/30 chips are blue

Now we need to set these equal to a total of 100 chips.

To do this we will need to simplify the two ratios.

12/30 --> 6/15 ---> 2/5

18/30 --> 9/15 ---> 3/5

Now we take the simplified fractions and set them equal to 100 chips.

2 *20 40

-- = -- There are about 40 pink chips

5 *20 100

3 *20 60

-- = --- There are about 60 blue chips

5 *20 100

Hi!

First, we need to find the percent of the pink chips that he picked. To do this, write the fraction of the pink chips he picked out of all of the chips he picked, and the number of pink chips out of the total number of chips.

Cross multiply to solve for x.

12 x 100 = 1200

1200/30 = 40

x=40

The predicted number of pink chips in the box is 40.

Hope this helps! :)

-Peredhel

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3