Answer: Tiffany 15mph, Maggie 20mph
Step-by-step explanation:
Set up the equation 4((x+5) + x) = 140. x+5 represents how many miles Maggie covered in one hour. x represents how much Tiffany traveled in one hour. 140 is the number of miles in total. 4 is the number of hours in total.
Simplify the equation.
(x+5) + x = 35 Divide both sides by 4
2x+5 = 35 Combine like terms
2x = 30 Subtract 5 from both sides
x = 15 Divide both sides by 2
Tiffany traveled 15mph, while Maggie traveled 15+5=20mph.
.44 is the correct answer
We need to first find a common denominator. This means that we need the 12 and the 3 to be the same number. We can change the 1/3 into 4/12 and see that 9/12 is larger than 4/12.
Answer:
c. 25
Step-by-step explanation:
(f ∘ g)(-2) = f(g(-2)) = f(-2-3) = (-5)² = 25
For this problem, it seems to work best to evaluate g(-2), then evaluate function f on that. (In other cases, it might be useful to simplify the composite function first.)
Answer:
1 : 4 , 1 : 4
Step-by-step explanation:
= 3 : 12 , 48 : 192
= 3/12 , 48/192
= 1/4 , 1/4
= 1 : 4 , 1 : 4
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