Afactory adds three red drops and two blue drops to coloring to white paint to make each pint of purple paint. the factory will make 50 gallons of this purple paint. how many drops of red and blue coloring will the factory need the 50 gallons batch of purple paint?

1200d rops of red coloring

800 drops of blue coloring

Step-by-step explanation:

The first thing is to make your pints and gallons the same unit. Todo  this multiply 50 (the total amount of gallons) by 8 (the number of pints in a gallon)

50*8=400

next, multiply the drops of coloring out.

To do this multiply 400 by 3 drops for red

400*3=1200

Then Multiply 400 by 2 for blue

400*2=800

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.