When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.
In our case we assume a is not smaller than 7, that is we assume a≥7.
a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:
3a+7≥28,
which is a contradiction because 3a+7 is smaller than 28.
So our assumption is wrong, which means the opposite of it is correct.
Answer: assume a≥7
Let x represent the number of hamburgers sold, and (x - 55) represent the number of cheeseburgers sold.
Set up an equation:
hamburgers + cheeseburgers = total number of burgers
x + (x-55) = 445
solve for x:
2x - 55 = 445
2x = 445 + 55
2x = 500
x = 500÷2
x = 250
This means 250 hamburgers were sold on Tuesday.
Hope this helps!
-Jabba
Answer:
x= -7
Step by Step Explanation:
We can write them both like functions like this
A= 5x- 4
B= 3x+ 8
The output of A will be three times the output of B
A=3b
We replace with the functions
5x-4= 3
We solve for x
5x= -4= 9x + 24
5x- 9x= 24 + 4
-4x= 28
x= 28 - 4
x= -7
The output that makes the out put of A 3 times the output of B is -7
Hope it helped
Answer:
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Step-by-step explanation:
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