Answer:
Step-by-step explanation:
678
To adjust the gasoline to oil ratio to 49:1 in a 2 gallon mixture, the forester must add approximately 1.333 gallons of gasoline.
Given that there is a mixture of 2 gallons that is constituted of 29 parts of gasoline and 1 part of oil, it translates into a 30 parts mixture (29 parts gasoline + 1 part oil). In a single gallon of mixture, there are 29/30 gallons of gasoline and 1/30 gallon of oil.
When additional gasoline is added, the amount of oil in the mixture remains constant at 1/30 gallon per gallon while the amount of gasoline increases. To hit a ratio of 49 parts gasoline to 1 part oil, there should be 49 times more gasoline than oil. Since we know the amount of oil in a mixture is 1/30, the amount of gasoline added per gallon should be 49/30 gallons.
However, we start with 29/30 gallons of gasoline, therefore extra gasoline that will be needed per gallon is (49/30) - (29/30) = 20/30 = 2/3 gallons. Given that the mixture is 2 gallons, the forester should add 2/3*2 = 4/3 gallons or approximately 1.333 gallons of gasoline.
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Y=2x-4
x+3y=4
B)|x − 32| ≥ 8; The medications cost less than $24 or greater than $40.
C) |x − 32| ≤ 8; The medication costs range from $24 to $40
D) |x − 32| ≤8; The medications cost less than $24 or greater than $40.
Answer:
Therefore, Option C is correct that is .
Step-by-step explanation:
We have given medication cost $32
Since, we have given as much as 8 so the inequality will maximum goes upto 8.
Now, we will solve the inequality for x we will get
We will first open the modulus function by its definition we will get
which is |x| is +x and -x
And
Therefore, Option C is correct