A factory manufactures pipes that should have an ideal length, represented by 0 on the number line. The quality manager at the factory measures two random pipes, pipe X and pipe Y, from each batch daily. In the first batch today, pipe X had a length that was 0.2 cm less than the ideal length. The difference between the lengths of pipe X and pipe Y was 0.6 cm. Plot all the points on the number line that could represent the length of pipe Y compared to the ideal length.

The value of Y is either 0.8 cm less than the ideal length or 0.4 cm more than the ideal length.

Y = - 0.8 cm or Y = +0.4 cm

Step-by-step explanation:

ideal length = 0

X = - 0.2 cm

|X - Y| = 0.6 cm

X - Y = 0.6 or X - Y = - 0.6

X - Y = 0.6

-0.2 - Y = 0.6

-Y = 0.6 + 0.2

Y = -0.8 cm

Or

X - Y = -0.6

-0.2 - Y = -0.6

-Y = -0.6+0.2 = -0.4

Y = 0.4 cm

The plot of the possible points on the number line that Y could be, is attached to this solution.

It is evident that the value of Y is either 0.8 cm less than the ideal length or 0.4 cm more than the ideal length.

Hope this Helps!!!

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)