Answer:
8 laps
Step-by-step explanation:
You can simply add up the number of laps:
(1st student laps) + (2nd student laps) +(3rd student laps) +(4th student laps)
= 2 laps + 2 laps + 2 laps + 2 laps
= 8 laps . . . . total for the 4 students
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Many people find it tedious to add the same number over and over, so they make use of the invention of multiplication. If you want to add 4 twos, you can simply multiply 4 times 2 to get the result.
total laps = (laps/student) × (number of students)
= (2 laps/student) × (4 students) = 8 laps
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<em>Additional comment</em>
May people look at this and say "word problem!" and then turn off their brain and go into a state of shock.
It is more productive to read the words, and use your imagination to visualize the scenario and what the question is asking. If you imagine 4 team members standing at the starting line and anticipating running 2 laps (each), the total number of laps should be so obvious that you don't even have to think about how you arrived at the solution.
Answer:
8. 12 in
9. 30 ft
10. 87.92 in
Step-by-step explanation:
X=1
Just pluck in the 1 into x and there’s is the answer
Hi there!
We know that the formula for the area of a rectangle is height * width. Thus, we can multiply these two expressions together:
![2x^4\cdot (x^2+8x+15)\\](https://tex.z-dn.net/?f=2x%5E4%5Ccdot%20%28x%5E2%2B8x%2B15%29%5C%5C)
Now, we know through the distributive property that we can distribute the
to everything in the parenthesis. Once this is done, we get:
![2x^4 \cdot x^2+2x^4\cdot8x+2x^4\cdot15](https://tex.z-dn.net/?f=2x%5E4%20%5Ccdot%20x%5E2%2B2x%5E4%5Ccdot8x%2B2x%5E4%5Ccdot15)
Now, we know through the power rule that when two exponents are multiplied together with the same base, the exponent can be added together
. This then would make our equation:
![2x^{4+2}+16x^{4+1}+30x^4\\](https://tex.z-dn.net/?f=2x%5E%7B4%2B2%7D%2B16x%5E%7B4%2B1%7D%2B30x%5E4%5C%5C)
Giving us for our final answer:
![2x^{6}+16x^{5}+30x^4\\](https://tex.z-dn.net/?f=2x%5E%7B6%7D%2B16x%5E%7B5%7D%2B30x%5E4%5C%5C)
Hope this helps!