Solve the inequalities; 1. |4x + 5| + 2 ≥ 102. |2x + 3| + 6 > 0

Mathematics

1 answer:

slamgirl [31]2 years ago

7 0

Answer:

Number two: x > -9/2, x < 3/2

Number one: x is less than or equal to 3/4, x is greater than or equal to - 13/4

Step-by-step explanation:

Number one:

|4x+5| > 10-2

|4x+5| > 8

4x+5 > 8

-(4x+5) > 8

x > 3/4

x < -13/4

x > 3/4, x < -13/4

(all of these signs are greater than or equal to and less than or equal to)

Number two:

|2x+3| > -6

2x+3 > -6

-(2x+3) > -6

x > -9/2

x < 3/2

x> -9/2, x < 3/2

(all of these signs are correct and not greater than or equal to or less than or equal to)

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What percent of 80 is 25

JulsSmile [24]

Answer: 31.25%

Step-by-step explanation: To answer the question what percent of 80 is 25, we translate the question into an equation.

So we have "what percent" that's x, "of 80" means times 80, "is 25" = 25.

Now to solve for x, since x is being multiplied by 80, we need to divide by 80 on both sides of the equation. On the left side of the equation the 80's cancel and we have x and on the right side of the equation, we have 25 ÷ 80 which gives us 0.3125. Now, remember that we want to right our answer as a percent so to write 0.3125 as a percent, we move the decimal point 2 places to the right and we get 31.25%.

Therefore, 31.25% of 80 is 25.