Answer:
p = 6; RPQ = 60 degrees
Step-by-step explanation:
Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.
5p + 30 = 60
5p = 30
p = 6
So now you have determined that p = 6, and the measure of RPQ is 60 degrees.
Hope this helped!
Answer:
5.2%.
Step-by-step explanation:
After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.
So we have 420 gallons of 6% and 280 gallons of 4% after 1 hour.
So the strength at that time = (420* 6) + 280*4) / 700
= 5.2%.
Answer:
D) q + d = 330
0.25q + 0.1d = 6
Step-by-step explanation:
Let q= numbers of quarters
d = number of dimes
q + d = 33 ...........(1)
q = 33 - d
xq + yd = 6 ..........(2)
We will consider the options to know the correct answer
From option A
q +d = 6
25q + 10d = 33
This is wrong
Option B
q + d = 60
0.25q + 0.1d = 33
This is also wrong
Option C
q+d = 33
25q + 10d = 6
Put q = 33 -d in equation 2
25(33 - d) + 10q = 6
825 - 25d + 10d = 6
825 - 15d = 6
-15d = 6-825
-15d = -819
d = -819/-15
d= 54.6
This is also wrong because d exceeds the combination.
Option D
q+d = 33
0.25q + 0.1d = 6
Put q = 33 -d in equation 2
0.25(33 - d) + 0.1d = 6
8.25 - 0.25d + 0.1d = 6
8.25 - 0.15d = 6
-0.15d = 6 - 8.25
-0.15d = -2.25
d = -2.25/ -0.15
d = 15
q = 33 - 15
q = 18
This is correct
Answer:
Step-by-step explanation:
cross out the common factor.
Answer:
dP/dt = 650t = 650(2 ) = 1,300 people/year
The rate of increasing of population at the end of the year 1992 is 1,300 people/year
Step-by-step explanation:
Given;
Population function as;
P(t) =325 t^2 + 28547
The rate of change of the population dP/dt at any given time can be given as;
Rate = change in population/change in time = dP/dt
dP/dt = 2×325t = 650t
Therefore, after 1992;
t = 1992-1990 = 2years
dP/dt = 650t = 650(2 ) = 1,300 people/year
The rate of increasing of population at the end of the year 1992 is 1,300 people/year
