Answer:
You aren't supposed to add 3k
Step-by-step explanation:
3k is a positve number. So instead of adding you have to subtract to be able to move on. Correct way shown below. Once you get this step wrong your answer will also be wrong. At the end you also need to divide
19-2k= 3k-1
-3k -3k
19-5k= -1
-19 -19
-5k= -20
-5/-5= -20/-5
k=4
There are many solutions. Some are 470 and 6, 471 and 5, 472 and 4.
Answer:
a) 
b) t = 0.3 seconds
c) d = 4.9t²
d) d = 11 cm.
Step-by-step explanation:
One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula
.......... (1)
a) the simplified expression is
......... (2)
b) If d = 44 cm = 0.44 meters, from equation (2) we get,
t = 0.299 seconds ≈ 0.3 seconds (Approximate)
c) If we make d as the subject of the equation, then

⇒ d = 4.9t² .......... (3)
d) Now, if
seconds, then from equation (3) we get,
d = 4.9 (0.15)² = 0.11 meters = 11 cm (Answer)
The ratio of apple and cranberry juice is 4:5
The price of 1 pint of apple juice is $0.45
The price of 1 pint of cranberry juice is $0.08
from the ratio given, the price amount of apple juice in the mixture will be:
4/5×0.45=$0.36
the price amount of cranberry juice in the mixture will be:
1/5×0.08=$0.016
the price of the mixture will be given by:
0.36+0.016
=$0.376
Answer:1,050
Step-by-step explanation: