Chef joe is baking cookies. He needs 4/10 of a cup of milk to make 10 cookies. What is the total amount of milk in cups that he needs to make 50 cookies?

2 Cups of milk would be needed to bake 50 cookies

Step-by-step explanation:

We can set this type of question up as a ratio. The problem states that for every 10 cookies 4/10 cups of milk is used therefore the ratio 10:4/10 can be created.

With the ratio created we have to get the 10 cookies to 50 cookies. Multiplying 10 by 5 will equal to 50, but with everything you do on one side of a ratio you need to do on the other side, therefore you need to multiply 4/10 by 5. 5*4/10 would then equate to 20/10. 20/10=2. There would be 2 cups of milk for 50 cookies.

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 dont know

step-by-step explanation: