Answer:
The Average rate of the first plane is 560 mph
Step-by-step explanation:
x = first plane's average rate (in mph)
x−108 = second plane's average rate (in mph)
First planes total distance = 2.25x
Second planes total distance = 1.25(x−108)
2.25x + 1.25(x−108) = 1825
x = 560
Answer: 21%
Step-by-step explanation:
Percent by definition is based on "out of 100." If 21 out of 100 has high cholesterol, then the percentage is 21%
Answer:
x = 91, y = 89, z = 31 Fourth choice
Step-by-step explanation:
x = 180 - 51 - 38 = 91
y = 180 - 91 = 89
z = 180 - 60 - 89 = 31
Answer:
Carlos has practiced piano for
hours.
Carlos needs to practice
hours.
Step-by-step explanation:
We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
First of all, we will find piano practiced before school and after school by adding both amounts as:
![\frac{3}{4}+\frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B7%7D%7B10%7D)
Make a common denominator:
![\frac{3*5}{4*5}+\frac{7*2}{10*2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%2A5%7D%7B4%2A5%7D%2B%5Cfrac%7B7%2A2%7D%7B10%2A2%7D)
![\frac{15}{20}+\frac{14}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B20%7D%2B%5Cfrac%7B14%7D%7B20%7D)
Add numerators:
![\frac{15+14}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B15%2B14%7D%7B20%7D)
Therefore, Carlos has practiced piano for
hours.
Now, we will subtract
from 2 find number of hours Carlos needs to practice to reach his goal.
![2-\frac{29}{20}](https://tex.z-dn.net/?f=2-%5Cfrac%7B29%7D%7B20%7D)
![\frac{2*20}{20}-\frac{29}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2A20%7D%7B20%7D-%5Cfrac%7B29%7D%7B20%7D)
![\frac{40}{20}-\frac{29}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B20%7D-%5Cfrac%7B29%7D%7B20%7D)
![\frac{40-29}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B40-29%7D%7B20%7D)
![\frac{11}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B20%7D)
Therefore, Carlos needs to practice
hours before going to bed in order to meet his goal.