One number is 10 more than twice another. their sum is 1 . find the numbers.

One number is 10 more than twice another.Their sum is 1.The numbers are -3 and 4

Solution:

Given that one number is 10 more than twice the other.

Let us consider the two numbers as “x” and “y”

First number = x

Second number = y

From question, consider “y” is 10 more than twice the “x”. This can be represented  

y = 10 + 2x – eqn 1

given that the sum of numbers is 1. Hence we get

x + y =1

substituting the value of “y” we get

x + 10 +2x = 1

3x +10 = 1

3x = -9

x = -3

substitute x = -3 in eqn 1 to get the value of “y”

y = 10 +2(-3)

y=10 – 6 = 4

hence the two numbers are -3 and 4

16.9 times 2.85

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: