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ad-work [718]
3 years ago
5

70+ 5x < 30+15x I know that x =5 But can someone help me with a real world problem ?

Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0
Remember, you can do anything to an equation as long as you do it to both sides
but, for inequalities, if you multiply or divide both sides by a negative, you flip the sign


70+5x<30+15x
minus 5x both sides
70<30+10x
minus 30 both sides
40<10x
divide both sides by 10
4<x

x>4 is the solution set

a real world problem could be


company A charges a flat rate of $70 dollars to rent their car and also charge a rate of $5 per mile driven

company B charges a flat rate of $30 dollars to rent the car and also charge $15 per mile

how many miles do you have to drive for you to pay more for company B than A?
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The sum of a rational number and an even integer is rational. A) Always True B) Sometimes True C) Usually True D) Never True
SOVA2 [1]
I think that the sum will always be a rational number
let's prove that


<span>any rational number can be represented as a/b where a and b are integers and b≠0

</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....

<span>so, 2 rational numbers can be represented as

</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)

their sum is
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1. the numerator and denominator will be integers
2. that the denominator does not equal 0

alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer

now the denominator
that is just a product of 2 integers so it is an integer


<span>2. we originally defined that b≠0 and d≠0 so we're good

</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
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