What single percentage change is equivalent to a 15% decrease followed by a 16% decrease?

Decrease of 28.6%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Decrease of 15%

1 - 15/100 = 1 - 0.15 = 0.85

Decrease of 16%

1 - 16/100 = 1 - 0.16 = 0.84

Both:

0.85*0.84 = 0.714

Change:

The initial percentage is 100% = 1.

0.714 - 1 = -0.286

Negative, so a decrease

The answer is a decrease of 28.6%.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

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step-by-step explanation: