Answer:
0.98g+ 0.02m= 7.1224 gallons standard mixture
0.96g+ 0.04m= 6.25 gallons break oil
3.92 gallons of gasoline is required for 4 gallons the standard mixture
Step-by-step explanation:
If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2
Gasoline: Motor oil
6 : x
98 : 2
Using the product rule
x= 6*2/98= 0.1224 gallons of motor oil is required.
Let the gasoline be represented by g and motor oil by m then for the standard oil the equation would be
0.98g+ 0.02m= 7.1224 gallons standard mixture
For break in oil
Gasoline: Motor oil
6 : x
96 : 4
Using the product rule
x= 6*4/96= 0.25 gallons of motor oil is required.
Let the gasoline be represented by g and motor oil by m then for the break oil the equation would be
0.96g+ 0.04m= 6.25 gallons break oil
Part b. For 4 gallons of the "break in" mixture
96% of the 4 gallons of the "break in" mixture is gasoline = 3.84 gallons of gasoline
4% of 4 = 0.16 gallons of motor oil
Now the standard mixture 4 gallons would contain 98 % of gasoline and 2 % of motor oil
98% of 4 gallons= 3.92 gallons of gasoline
2% of 4 gallons= 0.08 gallons of motor oil.
A irrational number is a number that can't be expressed as a ratio of two whole numbers. That's it.
For examples (in increasing order of difficulty)
1 is a rational number because it is 1/1
0.75 is a rational number because it is equal to 3/4
2.333... (infinite number of digits, all equal to three) is rational because it is equal to 7/3.
sqrt(2) is not a rational number. This is not completely trivial to show but there are some relatively simple proofs of this fact. It's been known since the greek.
pi is irrational. This is much more complicated and is a result from 19th century.
As you see, there is absolutely no mention of the digits in the definition or in the proofs I presented.
Now the result that you probably hear about and wanted to remember (slightly incorrectly) is that a number is rational if and only if its decimal expansion is eventually periodic. What does it mean ?
Take, 5/700 and write it in decimal expansion. It is 0.0057142857142857.. As you can see the pattern "571428" is repeating in the the digits. That's what it means to have an eventually periodic decimal expansion. The length of the pattern can be anything, but as long as there is a repeating pattern, the number is rational and vice versa.
As a consequence, sqrt(2) does not have a periodic decimal expansion. So it has an infinite number of digits but moreover, the digits do not form any easy repeating pattern.
Answer:
x = 43
Step-by-step explanation:
x = 98 - 55
<u>x = 43</u>
Answer:
y = 7
Step-by-step explanation:
An equilateral triangle has all its sides to be equal..
so.
10 = x
10 = y + 3
y = 10 - 3
y = 7
