Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (
) is described by the following expression:
(1)
Where:
- Input.
- Output.
If we know that 
, 
and 
, then the constants of proportionalities of each ordered pair are, respectively:
Since 
, the constant of proportionality is 3.5.
Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3
yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2
B=(xb,yb)→B=(-3,2)
Answer: B=(-3,2)
The answer is grade point average (GPA)
Answer:
rs 200
Step-by-step explanation:
Let cost price = x
At 30% profit; marked price of radio is 30% of x = (100% + 30%) = 130%x
Discount = rs 3%
Profit made = 30
Hence,
Marked price - discount = cost price + 30
130%x - 30 = x + 30
1.3x - 30 = x + 30
1.3x - x = 30 + 30
0.3x = 60
Divide both sides by 0.3
0.3x / 0.3 = 60/ 0.3
x =
1.3x / 1.3 = 60 / 1.3
x = 200
Hence, cost price = rs 200
Perform the indicated division, if any.
Rate: (500 miles)/(20 hours)
Unit rate: (500/20) miles/hour = (25 miles)/(1 hour) = 25 miles/hour
A unit rate is a rate with one unit in the denominator.
