Answer:
1) 
2) 
3) 
4) 40
5) 
Step-by-step explanation:
1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:
2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:
3) Apply the Distributive property and the Product property of exponents. Then, you obtain:
4) 
is a square of a sum, then, by definition you have:
Then:
The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40
5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:
Answer:
9 tenths is the value
Step-by-step explanation:
Two tractor trailers would weigh 160,000 pounds, which is equal to 80 tons. 100-80= 20 tons that are still available.
Answer:
The answer is 3093.
3093 (if that series you posted actually does stop at 1875; there were no dots after, right?)
Step-by-step explanation:
We have a finite series.
We know the first term is 48.
We know the last term is 1875.
What are the terms in between?
Since the terms of the series form a geometric sequence, all you have to do to get from one term to another is multiply by the common ratio.
The common ratio be found by choosing a term and dividing that term by it's previous term.
So 120/48=5/2 or 2.5.
The first term of the sequence is 48.
The second term of the sequence is 48(2.5)=120.
The third term of the sequence is 48(2.5)(2.5)=300.
The fourth term of the sequence is 48(2.5)(2.5)(2.5)=750.
The fifth term of the sequence is 48(2.5)(2.5)(2.5)(2.5)=1875.
So we are done because 1875 was the last term.
This just becomes a simple addition problem of:
48+120+300+750+1875
168 + 1050 +1875
1218 +1875
3093
Answer:
Each can of soda costs about 33 cents.
Step-by-step explanation:
This is just a simple division problem, and you can find the answer by dividing the cost of the sodas by the total number of sodas, so 4/12. If you complete that problem, the answer is 0.33 repeating, and since it asks you to round to the nearest hundredth, the answer is just 0.33. It is in dollar amounts, so the answer is 33 cents.
