Answer:
Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is .
The numerator is 5 (and the denominator is 10).
Expand
Simplify 0.9x + 1.26 - 2.3 + 0.1 * x to x - 1.04
add 1.04 to both sides
simplify 1.6 + 1.04 to 2.64
Answer: x = 2.64
The patient is recommended to take 24 ounces of coffee per day.
<u>Step-by-step explanation:</u>
Patient normal intake of coffee daily = 5 times 12 ounces
= 5 × 12 = 60 ounces
Doctor recommends to cut off 60 % of the normal intake of coffee.
And advised to take only 40 % of the daily intake of coffee.
So 60 % of 60 ounces can be calculated as,
= 36 ounces
40 % of 60 ounces is 24 ounces.
So 60 - 36 = 24 ounces of coffee per day
