Answer:
C = 25 + 3n
Step-by-step explanation:
Andre has a summer job selling magazine subscriptions.
We are told that:
Andy earns $25 per week plus $3 for every subscription he sells.
Let us represent
C = Total amount of money he makes this week
n = the number of magazine subscriptions Andre sells this week.
Hence, Our Algebraic expression =
C = $25 + $3 × n
C = 25 + 3n
Okie doke. So, we are rounding this number to the nearest thousandths place, which is three digits behind the decimal. The rules for rounding are if the number is 5 or more in the digit behind it, the number goes up. If it is 4 or less, the number goes back. In other words, we depend on the digit right of the digit we are rounding to in order to see what we do. The number we are rounding is 1.49882. The 8 is in the thousandths place and the 8 is to the right of that, which is the ten thousandths place. Because 8 is greater than 5, the number rounds up. So the number rounded to the nearest thousandth is 1.500.
20 minutes = 1/3 of an hour
1/3 = 0.333
1/3 x 45mph = 15, so she drove 15 miles at 45mph
18-15 = 3
3 miles/ 20 mph = 0.15 hours
0.333+0.15 = 0.483 hours total
0.483 x 60 = 28.98 so approximately 29 minutes total driving time
7:15 + 29 minutes is 7:44 am she arrived at work
Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.
The given expression is

And in the second factor, x is common. So on taking x out, we will get

We can expand it by distributing , that is


Combining like terms,

And that's the expanded form ., and the given expression can also be written in that way .