Answer:
1/4
Step-by-step explanation:
sorry for the messy work
All points that lie in a given line with a defined equation, they satisfy the equation such that when the values of x and y are substituted they satisfy the given equation.
Substituting values of y and x in the equation y = 14x +4
(8,6), (-8,-5), (-16,0), (-20,1) doesn't satisfy the equation.
therefore in this case there is no point that would lie in the line
The correct answer for the question shown above is: Gabriel should use 2 kilograms of compost.
The explanation is shown below:
1. To solve the exercise you must apply the following proccedure:
2. You have that He
wants it to be 2 parts compost to 10 parts potting soil and he
wants to end up with 10 grams of mix. Therefore:
=(2/12)x12 kilograms
=0.166x12 kilograms
=2 kilograms
Step-by-step explanation:
We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:
B = speed of the boat in still water
C = speed of the current
Since we have two variables, we will need to find a system of two equations to solve.
How do we find the two equations we need?
Rate problems are based on the relationship Distance = (Rate)(Time).
Fill in the chart with your data (chart attached)
The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!
Answer:
x + Y = 39 or x = 39-y
20x + 50y = 1.40
20 (39 - y) + 50y = 11.40
7.80 - 20y + 50y = 11.40
30y = 11.40 - 7.80
30y = 3.60
y = 3.60/30
y = 12 50p coins were collected.
x = 39 - 12 = 27 20p coins were collected.
Proof:
20*27 + 50*12 = 11.40
5.40 + 6 = 11.40
11.40 = 11.40
I hope it helps.