To demonstrate the statement “y varies directly as x”, you
will have to have this equation:
y = kx
Where k = constant of the variation
In this problem, you have to substitute the value of x and y
to calculate for the constant.
12 = k (4)
k = 3
Answer:
5w
Step-by-step explanation:
Add all the w's together and you should get 5w
Using proportions, it is found that:
a) A raise of $500 would be equivalent to a percentage of 80%.
b) From the above percentage, it would fall into the Gold Award range.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using arithmetic operations such as multiplication and division.
One example of application of proportions is for percentage problems, as a percentage is given by the amount a divided by the total amount b, and multiplied by 100%.
The goal of the raise is of $625, hence b = 625, and considering a raise of $500, a = 500, hence the percentage of the raise is given as follows:
500/625 x 100% = 80%.
To find the range of the raise, we look at the table. For a percentage of 80%, the amount is a Gold Award contribution.
More can be learned about proportions at brainly.com/question/24372153
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Convert 2/3 and 4/5 to decimals so
2/3 = .6666666666666...you get it
4/5 = .8
so -0.6, 0.65, 2/3, 4/5
Answer:
Every 1.71 seconds, the bacteria loses 
Step-by-step explanation:
Given
Required [Missing from the question]
Every __ seconds, the bacteria loses
First, we model the function from t/3 to t.
Apply law of indices
Evaluate each exponent
--- This gives the number of bacteria at time t
At time 0, we have:
Let r be the time 1/2 disappears.
When 1/2 disappears, we have:
So, we have:
Substitute r for t
Substitute
Divide both sides by 8500
Take log of both sides
Apply law of logarithm
Make r the subject
<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>
