To find out the number of days, we should create equations based on the values provided. The total distance Kayla aims to travel combines both her running distance and her biking distance.
200 miles = (6 miles/day)x + (10 miles/day)y
where x signifies the days she spent running and y represents the days bike riding.
If the minimum biking days are set to be 15, indicated by y = 15, we have:
200 miles = (6 miles/day)x + (10 miles/day)(15 days)
Solving for x gives:
200 = 6x + 150
50 = 6x
x = 8.3333 days
Total days = 15 days biking + 8.3333 days running = 23.3333 days, approximately making it 24 days.
Answer:
86/105
Step-by-step explanation:
May possesses 4/15 meters of lace
Lovie has lace that exceeds May's by 2/7 meters
4/15 + 2/7
= 58/105
Consequently, the total amount of lace they have is calculated as
= 4/15 + 58/105
= 86/105
Thus, together they own 86/105 meters of lace
The equation representing the circle centered at (-27, 120) that passes through the origin is:

Solution:
The general equation of a circle is expressed as:

Where,
(a, b) denotes the center of the circle
r signifies the radius
Given the center as (-27, 120)
Thus;
a = -27
b = 120
Considering it intersects the origin, meaning (x, y) = (0, 0)
Substituting (a, b) = (-27, 120) and (x, y) = (0, 0) into the equation

Input
= 15129 and (a, b) = (-27, 120) into the equation

Hence, the equation characterizing the circle is determined
In the program, the video game designer employs the expression 6n³ to determine points scored, where n signifies the game level. The provided expression is for the nth level. To adjust the expression for the n² level, substitute 2 for n in the original expression.
Let’s denote the distance of the first segment of the race as x and the second segment as 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Hence, the first segment of the race covers 5 miles, taking 5/8 = 0.625 hours or 37.5 minutes
The second segment then is 15 - 5 = 10 miles, with a duration of 1.125 - 0.625 = 0.5 hours or 30 minutes.