The double number line shows the approximate number of ounces in a certain number of pounds: Two number lines are shown. The one on top is labeled pounds and has tick marks labeled 2, 3, and 4 with secondary tick marks in between. The one on bottom is labeled ounces and has tick marks labeled 24, 40, and 56 with secondary tick marks in between. The first tick mark on pounds lines up vertically with the first secondary tick mark on the ounces line, and the remaining tick marks all line up. Based on the number line, about how many ounces are there in 6 pounds? 24 ounces 80 ounces 96 ounces 112 ounces

80

Step-by-step explanation: The answer is 80 because there are 16 ounces in 1 pound and when you multiply 5x16 you get 80. Hope this helped!

c.

step-by-step explanation:

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}