Answer:
Step-by-step explanation:
2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°
22x + 26 = 180
22x = 154
x = 7
To reduce a fraction, divide the numerator and the denominator equally until they reach the simplest whole number possible.
In this case, the numerator (720) and the denominator (1080) can both be divided by 360 to get 2/3, our reduced fraction.
He can make 32 sandwiches. Since he uses 1/8 pound of cheese for each sandwich, he can make 8 sandwiches using 1 pound of cheese (1/8 x 8 = 1). Now that you know he can make 8 sandwiches with 1 pound of cheese, multiply 8 (this is the sandwiches) by 4 (pounds of cheese).
Answer:
Step-by-step explanation:
= 
We need a common denominator before we can add.
+ 
means the same thing as
- =
Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
