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We see that it costs $3 for 6 cans of sodas. We want to find how much it costs for 1 can of soda. To do this, we simply divide by 6!
3/6=0.5
The unit price per can is $0.5 per can.
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Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let the original price = x
To begin with, we will convert the word problem into an equation as displayed below:
( x / 2 ) - 8 = 18
Now, to find the original price we will simply make ( x ) the subject and solve accordingly as displayed below:
( x / 2 ) - 8 = 18
( x / 2 ) = 18 + 8
( x / 2 ) = 24
x = 24 × 2
x = $48
CHECKING THE ANSWER:
In order to check if the answer is correct, simply substitute the value of x into the original equation and solve. If the left-hand and right-hand side are equivalent, then the answer is correct as displayed below:
( x / 2 ) - 8 = 18
( 48 / 2 ) - 8 = 18
24 - 8 = 18
18 = 18
Therefore, the answer is:
x = $48
19.30 - ( p / 100 )*19.32 = 14.01 ;
19.30( 1 - p/100 ) = 14.01 ;
1 - p/100 = 14.01 / 19.30
1 - p / 100 = 0.72 ;
p/100 = 1 - 72 / 100 ;
p/100 = 28 / 100 ;
p = 28 ;
The percent discount is 28% ;
Answer:
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Step-by-step explanation:
An inverse function is a function that reverses another function, so we have a function called:
Then, the inverse function will be as follows:
Given that
, we need to isolate x in terms of y:
∴
So:
and
therefore, exchanging variables x and y:
and
and
Which are the figures shown below.
