49/60 - 3/20 = (49 - 3(3))/60 = (49 - 9)/60 = 40/60 = 4/6 = 2/3
Answer:
2/3
Lisa paid $43.95 for 16.1 gallons of gasoline what was the cost per gallon rounded to the nearest hundredth
2 answers:
Answer:
The cost per gallon of gasoline, rounded to the nearest hundredth is $2.73.
Step-by-step explanation:
The cost of 16.1 gallons of gasoline = $43.95
So, the cost of 1 gallon of gasoline is given by =
= $2.7298 rounded $2.73.
Therefore, the cost per gallon of gasoline, rounded to the nearest hundredth is $2.73.
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This question is super easy.
Hope this helps!
Thanks!
-Charlie
Answer:
YES
NO
NO
Step-by-step explanation:
The given polynomial is:
(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.
To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.
∴ f(5) = 5³ + 4(5)² - 25(5) - 100
= 125 + 100 - 125 - 100
= 225 - 225
= 0
We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.
Now, to check (x + 2) is a factor.
i.e., to check x = - 2 satisfies f(x) or not.
f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100
= -8 + 16 + 50 - 100
= -108 + 66
≠ 0
Therefore, (x + 2) is not a factor of f(x).
To check (x - 4) is a factor.
∴ f(4) = 4³ + 4(4)² - 25(4) - 100
= 64 + 64 - 100 - 100
= 128 - 200
≠ 0
Therefore, (x - 4) is not a factor of f(x).