We know that we need to bake 6 pound for 138 minutes, then we have the proportion:
Let x be the time we need to bake the 3 pound roast, in this case we have the proportion:
By equating both ratios we have the proportion:
Now, by simplifying the right side of the proportion we have that:
For this proportion to be equal we need that x=69, therefore we need to cook the 3 pound roast for 69 minutes.
Hello!
The equation that represents this situation is A. 3t = 27.
Explanation:
This is because an equation is a "mathematical sentence" and this equation says that if you multiply the costs of the three friends' tickets, the total cost would be $27.
The product of the sum of two perfect cubes:
a³ + b³ = (a + b)(a² - ab + b²)
The product of the difference of two perfect cubes:
a³ - b³ = (a - b)(a² + ab + b²)
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Remember to follow FOIL:
(b^2 + 8)(b^2 - 8)
(b^2)(b^2) = b^4
(b^2)(-8) = -8b^2
(8)(b^2) = 8b^2
(8)(-8) = -64
b^4 - 8b^2 + 8b^2 - 64
Combine like terms:
b^4 (-8b^2 + 8b^2) - 64
b^4 - 64
b^4 - 64 is your answer
hope this helps
Answer:
$9629.63
Step-by-step explanation:
I assume this is simple interest.
The formula for simple interest is
F = P(rt + 1)
where F = future value,
P = present value
r = annual interest rate
t = number of years
10,400 = P(0.02 × 4 + 1)
10,400 = 1.08P
10,400/1.08 = P
9,629.63 = P
Answer: $9629.63
