Answer:
Step-by-step explanation:
We have the following expression
Whe know that:
Now replace these equations in the main expression and simplify
Apply the following property
Then
Finally:
Answer:
an = 12 -7(n-1)
an = 19-7n
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
an = a1 +d(n-1) where a1 is the first term and d is the common difference
a1 =12
We find d by taking the second term and subtracting the first term
d = 5-12
d = -7
an = 12 -7(n-1)
We can simplify this
an = 12 -7n+7
an = 19-7n
1/2 pint of oil=2 1/2 gallons of gas
X pint of oil= 10 gallons of gas
X= (10*0.5)/2.5
X= 2 pints of oil
To find out how many pints of oil are needed for 10 gallons of gas in a weed eater, we need to set up a proportion using the given ratio. By cross-multiplying and solving for x, we find that 1/4 pint of oil is needed.
To find out how many pints of oil are needed for 10 gallons of gas, we can use the given ratio of 1/2 pint of oil to 2 1/2 gallons of gas. First, we need to change the 2 1/2 gallons of gas to pints by multiplying it by 8 (since 1 gallon is equal to 8 pints). So, 2 1/2 gallons becomes 20 pints of gas. Now, we can set up a proportion using the ratios of oil to gas. The proportion will be (1/2 pint) / (20 pints) = (x pints) / (10 gallons).
To solve for x, we can cross-multiply and then divide: (1/2 pint) * (10 gallons) = (20 pints) * (x pints). Simplifying this gives us x = 1/4 pint of oil. Therefore, 1/4 pint of oil is needed for 10 gallons of gas.
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