Answer:
A rational number.
Step-by-step explanation
A rational number is a ratio of whole numbers.
1/3 is the ratio of 1:3
3:1 becomes 3/1 = 3
32:10 can be written 32/10 or 16/5 or 3.2
16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.
Therefore, 3.2 which can be expressed as 16/5 is a rational number.
Answer:
13.89 m/s
Step-by-step explanation:
Velocity = displacement = time
75 km = 75000 m
1.5 hours = 5400 sec
applying the formula
velocity = 75000 m= 5400 s = 13.89 m/s
Answer:
5/12
Step-by-step explanation:
You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.
<h3>Tangent</h3>
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...
Tangent = Opposite/Adjacent
<h3>Application</h3>
The side opposite angle F is GH = 10.
The side adjacent to angle F is FG = 24.
Then the tangent is ...
tan(F) = GH/FG = 10/24
tan(F) = 5/12 . . . . . reduced to lowest terms
Answer:
<em>The salesperson needs to sell 10 stereos to make the same money on both plans</em>
Step-by-step explanation:
We'll analyze both choices for the compensation plans of a salesperson.
One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:
P1=250+25x
Where x is the number of stereos sold.
The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:
P2=50x
To find the equilibrium point for both plans, we make P1=P2:
250+25x=50x
Simplifying:
25x=250
Solving:
x = 250 / 25 = 10
The salesperson needs to sell 10 stereos to make the same money on both plans
