Answer:
12 = 5k/2
24 = 5k
Step-by-step explanation:
Raul is making chocolate chip pancakes.
The number of chocolate chips he uses is proportional to how many ounces of mix he makes.
Hence,
Chocolate chips ∝ Number of Ounces
Chocolate chips = c
Number of Ounces = m
= cm
c = km
Where k = Constant of Proportionality
The recipe said that for every 2 1/2 ounces of the mix, 12 chocolate chips be added.
Hence
12 = 21/2 × k
12 = 5/2 × k
12 = 5k/2
Cross multiply
12 × 2 = 5k
24 = 5k
The equation that represents the relationship between c the number of chocolate chips and m the number of ounces is
12 = 5k/2
24 = 5k
Answer:
Time, t = 2 seconds
Step-by-step explanation:
The height of a flare fired from a 32-foot high platform can be modeled by the function :

Here, h is the height in feet above the ground and t is the time in seconds.
It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,
h = 0

Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.
Answer:
-45, -44, -43
Step-by-step explanation:
Let the smallest consecutive integer be x. Consecutive integers have a difference of 1, so the next consecutive integer must be x+1, and the next is x+2. Since they all add up to -135, we can form this equation: x+x+1+x+2=-132. When you solve, x should be -45, which is the smallest in the set. So the next must be -45+1=-44, and the next is -44+1 which is -43.
Step-by-step explanation:
1. 90+65= 155°
2. π+ π/6 = 7π/6 or 210°
3. 24+180=204°
4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18
or 310°
C. The product of a constant factor of six and a factor with the sum of two terms. In this case, 6 is constant, and the sum of two terms is: y+3. Since they are products, you multiple them. Therefore C would be correct.