Let's say the item starts off at $100.
A 55% decrease means 100%-55% = 45% of the value is still there. The item is now worth 0.45*100 = 45 dollars.
Now increase this by 25%. The long way to do this is to add 25% of 45 onto 45
(25% of 45) + (45) = 0.25*45+45 = 11.25+45 = 56.25
Or, we can multiply 45 by 1.25 since the multiplier 1.25 represents a 25% increase
1.25*45 = 56.25
-----------------------------------------------------
The item was $100, it drops to $45 after the 55% decrease, then it is $56.25 after the 25% increase.
Let's compute the percent difference
A = 100 = old value
B = 56.25 = new value
C = percent difference
C = 100*(B-A)/A
C = 100*(56.25-100)/100
C = -43.75%
The negative C value indicates a percent decrease.
So combining a 55% decrease and a 25% increase leads to an overall decrease of 43.75%
-----------------------------------------------------
A shortcut is to multiply 0.45 and 1.25 to get 0.5625
Then subtract this from 1 to get 1-0.5625 = 0.4375
This is another way to see we have a 43.75% decrease.
Answer:
x = 6
Step-by-step explanation:
5x = 24 + 6
5x = 30
5x/5 = 30/5
x = 6
Answer:
it would be slope intercept then it would be y=mx+b
Step-by-step explanation:
go to a graph find (-5,4) then graph it on the chart then use y=mx+b
2 × π = 0.6
π = 0.6/2
π = 0.3
This is an algebra problem. We let x be the variable for the number of pounds of apples bought, and y be the number of pounds of bananas bought. From the descriptions, the formulas that we can formulate are:
y = 2x --> eqn 1
0.79x + 0.39y = 7.58 --> eqn 2
Substituting eqn 1 to eqn 2:
0.79x + 0.39(2x) = 7.58
Solving for x,
x = 4.828 pounds of apples
y = 2x = 2(4.828) = <em>9.656 pounds of bananas bought</em>