We divide by 2 on both sides.
We get the final answer as
x = 5/2 = 2.5
I think the answer is that they are parallel
Answer:
1 hour and 45 minutes
and 1 hour
Step-by-step explanation:
x= run
y= walk
5x+2.5y = distance
5x+2.5(1.5)=12.5
solve for x
5x=8.75
x=1.75
1.75 in hours is 1 hour and (60*.75)=45
1 hour and 45 minutes
" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"
We use the same equation
5x+2.5y=distance
we'll assume that they till walked 12.5 miles
which means that
5(2)+2.5y=12.5
solve for y
2.5=2.5y
y=1
1 hour
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
