Jeremy's car went 300 miles (highway) on 10 gallons of gasoline. What was the average number of miles per gallon?

2 answers:

6 0

Whenever you see the word "per" you can ALWAYS substitue in the word "divide". When you see "miles per gallon", change "per" into "divided by" to get miles divided by gallons. That is how you will solve the problem.

SO.....
300 miles ÷ 10 gallons = 30 miles per gallon

Lady bird [3.3K]3 years ago

3 0

Answer:

D. 30 mpg

Step-by-step explanation:

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Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.