the amount of time that she runs on the n-th day is:
T = 4min*n + 11min
And on day number 30 is:
T = 4min*30 + 11min = 133min
<h3>
How long did she run on the 30'th day?</h3>
We know that:
She ran for:
- 15 minutes on the 1* day
- 19 minutes on the 2nd day
- 23 minutes on the 3rd day
- 27 minutes on the 4th day.
So on each consecutive day that she runs, she adds 4 minutes to the running time. This is a linear relationship.
So, if we define n as the day number, we can write the time T of running as:
T = 4min*n + b
Where b is a constant, notice that when n = 1 (the first day) the time of running is 15 minutes, then:
15 min = 4min*1 + b
15 min - 4min = 11 min =b
Then the amount of time that she runs on the n-th day is:
T = 4min*n + 11min
And on day number 30 is:
T = 4min*30 + 11min = 133min
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
- (x, y) = (8, -1)
- (x, y) = (7, 10.5)
Step-by-step explanation:
1. You can use the expression for y to substitute into the first equation:
2x +4(1/4x -3) = 12
2x +x -12 = 12 . . . . . . eliminate parentheses
3x = 24 . . . . . . . . . . . add 12; next divide by 3
x = 8 . . . . . matches choice C
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2. You can use the expression for y to substitute into the second equation:
x -2(2x -3.5) = -14
-3x +7 = -14 . . . . . . eliminate parentheses
21 = 3x . . . . . . . . . . add 3x+14; next divide by 3
7 = x . . . . . matches the third choice
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When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)
Answer:
90
Step-by-step explanation:
1. Pick two points on the line and determine their coordinates.
2. Determine the difference in y-coordinates of these two points (rise).
3. Determine the difference in x-coordinates for these two points (run).
4. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256