Answer:
(Choice A) A 16:10
(Choice C) C 48:30
(Choice D) D 32:20
Step-by-step explanation:
The given ratio is
8:5
Select three ratios that correspond to 8:5
Check all options
(Choice A) A 16:10
= 16 / 10
Reducing by 2 yields
= 8 / 5
= 8:5
(Choice B) B 50:80
= 50 / 80
Reducing by 10 yields
= 5 / 8
= 5:8
(Choice C) C 48:30
= 48 / 30
Reducing by 6 yields
= 8 / 5
= 8:5
(Choice D) D 32:20
= 32 / 20
Reducing by 4 yields
= 8 / 5
= 8:5
(Choice E) E 64:35
= 64 / 35
The ratios equivalent to 8:5 are
(Choice A) A 16:10
(Choice C) C 48:30
(Choice D) D 32:20
Detailed derivation:
dA/dt = 6 - 0.02A
dA/dt = -0.02 (A - 300)
Rearranging terms.
dA / (A - 300) = -0.02 dt
Integrate both sides.
ln(A - 300) = -0.02t + C
Isolate A.
A - 300 = Ce^(-0.02t)
A = 300 + Ce^(-0.02t)
Apply initial condition to determine C.
50 = 300 + Ce^(-0.02 × 10)
50 = 300 + Ce^(-0.2)
-250 = Ce^(-0.2)
C = -250e^(0.2)
A = 300 - 250e^(0.2)e^(-0.02t)
A = 300 - 250e^(0.2 - 0.02t)
Each minute, you need to multiply the mass by 27.7% or 0.277
after 1 minute, it's one multiplication
after 2 minutes, it’s two multiplications
3, three times
and so forth
consequently, after 13 minutes, you'd multiply 13 times or 0.277^13
thus what is 970g * 0.277^13 =?
To resolve this, we multiply the 30-day timeframe by 7, resulting in a total of 210 days.
Answer:
50 Educators
Step-by-step explanation:
To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.