What the solution 2(4+2x)≥5x+5

Mathematics

2 answers:

Ber [7]2 years ago

6 0

Answer:

3 ≥ x

Step-by-step explanation:

2(4+2x)≥5x+5 | Given Expression

8 + 4x ≥ 5x + 5 | Distributive Property

^(multiply the terms on the inside of the parenthesis by 2)

8 ≥ 1x + 5 | Subtraction Property of Equality

^(subtract 4x from both sides)

3 ≥ x | Subtraction PoE

^(subtract 5 from both sides)

olga nikolaevna [1]2 years ago

4 0

Answer:

x ≤ 3

Step-by-step explanation:

2(4+2x) ≥ 5x+5 (by PEDMAS, expand parentheses first)

4(2) + 2x(2) ≥ 5x + 5

8 + 4x ≥ 5x + 5 (subtract 8 from each side)

4x ≥ 5x + 5 - 8

4x ≥ 5x - 3 (subtract 5x from both sides)

4x -5x ≥ - 3

-x ≥ - 3 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by a negative number)

x ≤ 3

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Suppose the length of each side of a

Ilya [14]

Answer:

The original side length of the square was 9 ft

Step-by-step explanation:

Consider that the square was initially of side length "x" (our unknown). Then the sides were all increased by 5 ft, and now the perimeter (addition of all four sides) of the square render 56 ft.

Let's write an equation that represents the addition of the four sides of this new rectangle, and set it equal to 56 ft. Then solve for the unknown "x":

$(x+5)+(x+5)+(x+5)+(x+5)=56\\x+x+x+x+5+5+5+5=56\\4x+20=56\\4x=56-20\\4x=36\\x=9$