It works because even if the numbers are broken apart, you are still multiplying the numbers by their values, it's only different because once broken apart, it's in expanded form instead of standard form. It also makes multiplication easier since you don't have to deal with such large numbers.
Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
Answer:
120°.
Step-by-step explanation:
The sum of all interior angles in a polygon with 
sides (
, 
) is equal to 
. (Credit: Mathsisfun.)
The polygon here has 6 sides. 
. Its interior angles shall add up to 
.
Consider the properties of a regular polygon. (Credit: Mathsisfun.)
- All sides in a regular polygon are equal in length.
- All angles in a regular polygon are also equal.
There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be
.
Answer:
156 buttons in each container
Step-by-step explanation:
