Answer:
Inequality- 4p + 5 >-32
Step-by-step explanation:
The 7-digit number we are looking for is 8,92a,bcd
"The value of the thousands digit is double that of the ten thousands digit."
The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.
The 7-digit number we are looking for is 8,924,bcd
"The sum of all its digits is 24."
8+9+2+4+b+c+d = 23 + b+ c+ d
Thus b+c+d = 1
The digits to the tens and hundreds places are the least and same value.
These two digits (b and c) must be 0, because b+c+d = 1
That means that the digit "d" must be equal to 1.
The 7-digit number we are looking for is 8,924,001
This number is the only number that satisfies all the conditions stated in the question.
Answer:
Sophia should start her homework at 5:55
Step-by-step explanation:
If it takes her 10 minutes to go to school, 30 minutes to do her homework, and 25 minutes to eat dinner, you should add those numbers together to get 65 because then you can subtract 65 minutes from 7:00 so you get the time she needs to start her homework in order to get to school at 7:00. So basically 10+30+25=65 and then 65 minutes subtracted from 7:00 is 5:55.
I hope this helps you :D
Answer: 
Step-by-step explanation:
You need to use the following Properties of Logarithms:

Given the following expression:

You can follow these steps in order to write it as a single logarightm:
- Apply the first property shown above:

- Apply the second property:

- Finally, apply the third property:
