Answer:
4.8% of $4,500 = $216
Step-by-step explanation:
use https://www.calculator.net/percent-calculator.html?cpar1=4.8&cpar2=4500&cpar3=&ctype=1&x=112&y=12
it is a calculator for percentages i feel that this will help you out
hope this helps!
A Glide Reflection is the composition of a translation and a reflection across a line parallel to the direction of translation.
We need to calculate a total TIME.
Let the time required to cover distance d at 20 mph be x. d is the ONE WAY distance, not the total distance traveled (which would be 2d).
Remember the formula d=rt: the distance traveled equals the rate times the time. Here, d = rx, and thus x = d/r = d/(20mph)
Let's begin by recognizing that d(going) = d(returning)
Then (20 mph)x = 6 + (16 mph)x
(20 mph)x - (16 mph)x = 6 miles
Then: (4 mph)x = 6 miles
or: x = 1.5 hours
It takes the bird 1.5 hours at 20 mph to cover distance d, which is 30 miles.
Thus, the total time spent flying is 1.5 hours (going) and [1.5 hours + (6 miles)/(16 mph) returning:
1.5 hours + 1.5 hours + 0.375 hours = 3.375 hours total.
The total distance covered is 2d, or 2(30 miles) = 60 miles.
It took me a while and a lot of experimentation to arrive at these results. Please, if my arguments here are not clear, ask questions.
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of 
.
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is 
, and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in 
and solving for height 
we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
Answer:
C
Step-by-step explanation:
To simplify this equation,
-x+10<2
-10 from both sides
-x<-8
Take out the negative
x<8
This means x is less than 8
For ≤ and ≥ , use a closed dot to indicate the number itself is part of the solution.
For < and >, use an open circle to indicate the number itself is not part of the solution.
In this case you use a open circle and becasue x is less than 8, the arrow pointing left is correct.
