Compare and contrast: two equations are listed below. solve each equation and compare the solutions. choose the statement that is true about both solutions.

equation 1 equation 2
|5x + 6| = 41 |2x + 13| = 28

The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1

Step-by-step explanation:

Equation 1

|5x + 6| = 41finding the absolute value of x

5x+6=41

5x=41-6

5x=35divide by 5 both sides

x=35/5= 7

|x|=7

Equation 2

|2x + 13| = 28find the absolute value of x

2x+13=28

2x=28-13

2x=15divide by 2 both sides

x=15/2 =7.5

|x|=7.5

Conclusion

The absolute vale of x in equation 2 is greater than the absolute value of x in equation 1

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%