Answer:
i think C) a ≤ 10 is answer
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
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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%
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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.
-85, -87, -89
Step-by-step explanation:
1. Divide -261 by 3. (Answer is -87)
2. Take the odd integer before it (-85) and the odd integer after it (-89).
Use the distributive property to multiply the right side giving you 5x+15, if you subtract 5x from each side you get 8=15 which is never true, the equation has no solution.
Answer:
Step-by-step explanation:
The pythagorean theorem goes: a^2 + b^2 = c^2
c is the hypotenuse of the right triangle, the longest side.
This means that by squaring the two shorter sides of an answer choice and seeing if they are equal to the longest side squared we can see if that answer choice contains the sides of a right triangle.
So, for example, lets look at answer choice B. 4.5^2 + 3^2 = 29.25 and 7.5^ = 56.25
29.25 is not equal to 56.25 so B is incorrect.
Doing the same process with answer choice A gets us: 6^2 + 2.5^2 = 42.25 and 6.5^2 = 42.25
This means a^2 + b^2 equals c^2 and answer choice A is our correct answer.
