Answer:
7*5 + -29
Step-by-step explanation:
She makes 7 payments of 5 to the store
7*5
Then she gets 29 dollars back so that would be negative
+ -29
7*5 + -29
35 -29
She has paid 6 dollars to the store
Answer:
Step-by-step explanation:
Hello, please consider the following.
So this is divisible by 3.
Now, to prove that this is divisible by 9 = 3*3 we need to prove that
is divisible by 3. We will prove it by induction.
Step 1 - for n = 1
4+17=21= 3*7 this is true
Step 2 - we assume this is true for k so 
is divisible by 3
and we check what happens for k+1
is divisible by 3 and
is divisible by 3, by induction hypothesis
So, the sum is divisible by 3.
Step 3 - Conclusion
We just prove that is divisible by 3 for all positive integers n.
Thanks
Answer:
The trip was 45 minutes
Step-by-step explanation:
you take 60 minutes which is an hour and subtract 15 to get 45 minutes
Step-by-step explanation:
Since x² + 3x - 4 = (x + 4)(x - 1), the correct answer is D.
Answer:
The sampling method used is a stratified sampling method
Step-by-step explanation:
sampling is the selection of a predetermined representative subpopulation from a larger population, to estimate the characteristics of the whole population.
Stratified sampling: Here, the total population are divided into subcategories (strata) before sampling is done. The strata are formed based on some common characteristics. In our example, the times of the day (morning, afternoon and evening) has widely varying atmospheric conditions which will add biases to the measurement of air quality. For example, the air in the morning if compared to the afternoon in an industrial area may be purer because of minimal industrial activity, hence effective comparison will be made by stratification.
