Write a decimal number that is greater than 48.1 but less than 48.2

ANSWER:

A decimal number that is greater than 48.1 but less than 48.2 is 48.15.

SOLUTION:

Given, two numbers are 48.1 and 48.2

We need to write a decimal greater than 48.1 but less than 48.2.

We know that, average of two numbers will be greater than lesser number and smaller than bigger number.

Here, smaller number = 48.1

Bigger number = 48.2

Now, average =

=

Average = 48.15

48.15 is greater than 48.1 ( 48.15 > 48.1 )

48.15 is lesser than 48.2 ( 48.15 < 48.2 )

Hence, a decimal number that is greater than 48.1 but less than 48.2 is 48.15.

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1