Answer: 11, 13
Explanation:
We need to identify two consecutive integers whose product is 143. If we let x represent the larger of the two integers, the smaller integer can be expressed as (x-2). Their product equals 143, which gives us
By solving the equation:
this results in a second-order equation with two real roots: x=13 and x=-11. We disregard the negative outcome, leaving us with x=13. Hence, the two numbers are
x=13
x=13-2=11
Answer:
Katherine will create at least 8 playlists. Each of these will feature 4 pop songs and 9 rock songs.
Detailed Explanation:
Katherine has a library of 32 pop songs and 72 rock songs on her mp3 player. She intends to distribute these into playlists, ensuring an equal count of pop and rock songs in each.
To determine the minimum number of playlists, we find the GCF of the two numbers provided.
For 32, we can express it as 2^5, and 72 can be described as 2^3*3^2
Thus, the GCF for the two figures is 2^3, equaling 8.
Consequently, she will generate 8 playlists, with each containing 4 pop songs and 9 rock songs.
No. 16.454 contains an extra digit at the end. If that final 4 were a 0, the two numbers would be equal.
Answer:
45 mph
Step-by-step explanation:
Calculate the unit rate (i.e., speed):
6 mi 60 min
--------- * ------------- = (3/4)(60) mph = 45 mph
8 min 1 hr
