Tia shares 53 balloons equally among 4 children. How many balloons will be left over?
2 answers:
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Answer:
Note: <em>The full question is attached as picture below</em>
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1. The manufacturer is taking a sample of her friends, which is most convenient to sample - Convenience sampling
2. The whole population is divided into different groups (strata) and random samples are drawn from each group - Stratified sampling
3. The population is divided into different clusters (here, communities) and whole clusters are surveyed - Cluster sampling
4. The samples are drawn at a fixed interval from the population list - Systematic sampling
5. The samples are randomly drawn from the population - Simple random sampling
Answer:
Second choice:
Fifth choice:
Step-by-step explanation:
Let's look at choice 1.
I'm going to subtract 1 on both sides for the first equation giving me . I will replace the
in the second equation with this substitution from equation 1.
Expand using the distributive property and the identity :
So this not the desired result.
Let's look at choice 2.
Solve the first equation for by dividing both sides by 2:
.
Let's plug this into equation 2:
This is the desired result.
Choice 3:
Solve the first equation for by adding 3 on both sides:
.
Plug into second equation:
Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:
Not the desired result.
Choice 4:
I'm going to solve the bottom equation for since I don't want to deal with square roots.
Add 3 on both sides:
Divide both sides by 2:
Plug into equation 1:
This is not the desired result because the variable will be squared now instead of the
variable.
Choice 5:
Solve the first equation for by subtracting 1 on both sides:
.
Plug into equation 2:
Distribute and use the binomial square identity used earlier:
.
This is the desired result.