When solving for a variable, you get the variable you're trying to solve for on one side and everything to the opposite of that variable.
We have the equation <span>5w + 9z = 2z + 3w.
Usually the variable we're solving for we want on the left. But it's fine to have it on the right side, too.
Let's subtract 9z from the left-hand side. That way, the 5w will be alone on the left-hand side.
And remember, anything we do on one side we do to the other side.
</span><span>5w + 9z - 9z = 2z + 3w - 9z
</span><span>5w = -7z + 3w
The 3w term on the right-hand side needs to be removed. So, subtract each side by 3w.
5w - 3w = -7z + 3w - 3w
2w = -7z
Now, we need to divide each side by 2 to see what the w variable is equal to.
2w / 2 = -7z / 2
w = -7z / 2 or w = -3.5z
So, w is equal to -3.5z.
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Answer:
3/14 chance first draw
Step-by-step explanation:
There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.
Probability the 1st draw is red = 3/14.
Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.
Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.
3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.
The function that represents surviving people are X = 2m - d
Given that there are m married couples and d of the 2m of these couples have died, the total people that remain is expressed as:
Total people remaining = Total married couple - those that died
Total married couple = 2m
Total people that died = d
Taking the difference to get the remaining people;
Total people remaining = 2m - d
Hence the function that represents surviving people are X = 2m - d
Learn more on difference here: brainly.com/question/2605546
Answer:
50% increase
Step-by-step explanation:
% change = (new value-initial value)/initial value x 100
= (150-100)/100 x 100 = 50%
Answer:
y = 30(2)^x
Step-by-step explanation:
Initial deer population = 30 (in 2010)
Every year, deer population doubles ; this means there is an 100% increase in the population every year ;
Hence, using the exponential growth relation :
Final = initial * (1 + rate)^year
Here,
Final population y ; x years after 2010
Rate = 100% = 1
Hence,
y = 30(1 + 1)^x
y = 30(2)^x
