Which situation can be represented by 80x > 150 + 50x?
1 answer:
Answer:
All numbers greater than 5, i.e.,
.
Step-by-step explanation:
The given inequality is
Isolate variable terms on one side to find the solution.
Subtract 50x from both sides.
Divide both sides by 30.
It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.
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Let A, B and C be the amount machines A, B and C, respectively, produce each hour alone.
With all three machines together produce 520 drinks each hour, we know that the addition of the amount that each produces each hour is equal to 520, that is.
Now, similarly, machines A and B produce together 320 drinks each hour, so the sum of the amounts A and B produce each hour is equal to 320, so:
If machine C produce 30 more drinks than B each hour, than the amount of B plus 30 will be the amount of C:
So, we got the system of equations:
To solve, notice that A + B is known, because of the second equation, so we can substitute A + B by 320 in the first equation:
Now, we can substitute C into the third equation and solve for B:
And, finally, we can substitute B into the second equation and solve for A:
Answers:
First box:
Second box:
Third box:
Fourth box:
Answer:
the answer is
Step-by-step explanation:
the explanation is given in the image.
