Answer: 
This is the same as 
and it is also equivalent to 
=====================================================
Explanation:
n is some placeholder for a number
one fourth of that number is 
which is the same as 
or 
since 1/4 = 0.25
From here, we subtract off 2 to get as one possible final answer.
Answer:
the answer is 10
Step-by-step explanation:
2x^2-y turns into
2*3^2-8
\ /
2*9-8
\ /
18-8
\ /
10
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Answer:
925
Step-by-step explanation:
In order to solve this summation formula, you need to first understand what it means. The summation symbol is tell you to add the terms in a sequence. Below the summation sign, there is a variable and number; the variable n is the index of summation and the number 1 is the lower limit of summation or the first value of the sequence. The number 25 above the summation sign is the upper limit (so there would be 25 terms, with the first being 1). The polynomial to the right of the summation symbol represents the explicit function for each term. For example, using this, the first term would be (3(1) - 2) and the second (3(2) - 2) and so on. This means the value of that equation is:
(3(1) - 2) + (3(2) - 2) + (3(3) - 2)... + (3(25) - 2)
One way to solve this is to write all 25 of the terms and add them, but since that's tedious, you can solve this by first doing the basic summation of 1 to 25 and then inputting that into the equation:
1 + 2 + 3... + 25 = (25 × 26)/2 (when the first number is one and the rate of change is 1, the sum of the terms in a sequence is (n*(n+1))/2)
= 325
Now, that you know what the sum of the sequence of terms 1 to 25 are, you can multiply this by the constant since if you break up the equation you would be multiplying 3 by 1 then 3 by 2 and so on until 25, or 3 × (1 + 2 + 3... + 25):
3 × 325 = 975
At this point, you just need to add (-2) × 25. You do this because since there are 25 terms, if you subtracted 2 each time, you would subtract 2 twenty-five times:
975 + ((-2) × 25)
= 975 - 50
= 925
I believe the answer is c
Is the ratio 15:12 equivalent to these? No, it's not equivalent.
Why not? Because if we tripled everything in 5:3 then we'd get 15:9. We don't have the second value as 12.
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Is the ratio 30:18 equivalent to these? Yes it is equivalent
To go from 5:3 to 30:18, we multiply everything by 6
5*6 = 30
3*6 = 18
This shows that 5:3 scales up to 30:18
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Give two more examples of ratios that are equivalent to 5:3.
Pick any number you want. Let's say we pick 7. Multiply both parts of 5:3 by the value 7
5*7 = 35
3*7 = 21
The ratio 5:3 is equivalent to 35:21
The ratio 5:3 is also equivalent to 50:30 after multiplying both parts by 10.
