If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
Answer:
<h2>No table shows one-to-one function</h2>
Step-by-step explanation:
<em>One-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain. Every element of the function's domain is the image of at most one element of its domain.</em>
First table:
No. Because for x = 12 and x = 14 we have the same value of y = 197
Second table:
No. Because for x = -2 and x = 2 we have the same value of y = 5
Third table:
No. Because for x = 7.25 and x = 8.5 we have the same value of y = 11
Answer:
Katherine will make minimum 8 playlists. Each playlist will contain 4 pop songs and 9 rock songs.
Step-by-step explanation:
We have been given that Katherine has 32 pop songs and 72 rock songs on her mp3 player. She is willing to organizing the songs into playlists such that there are equal number of pop songs and an equal number of rock songs into each playlist.
We can find the minimum number of playlists by finding GCF of the given two numbers.
We can write 32 = 2^5 and we can write 72 = 2^3*3^2
Therefore, GCF of the two numbers is 2^3 = 8.
Hence, she will be making total 8 playlists where each playlist will contain 4 pop songs and 9 rock songs.
TO get this answer, we divide the spent money by the earned.
2500/3600=0.69
The answer is 69%
Answer: <em>6.6 meters a week</em>
Step-by-step explanation:
<em>This problem is quite simple</em>
<em>You take 80 and divide it by 12</em>
<em>80/12 </em>
<em>which equals</em>
<em>6.6</em>
