Answer:
c =4 4/9 minutes
Step-by-step explanation:
The formula is
1/a + 1/b = 1/c where a and b is the time for each working alone and c is the time working together
1/8 + 1/10 = 1/c
Multiply by 40c to clear the fractions ( 40c is the least common multiple)
40c(1/8 + 1/10 = 1/c)
5c + 4c = 40)
9c = 40
Divide by 9
9c/9 = 40/9
c =4 4/9 minutes
Answer:
25 students peer teacher, 22 students per tutor, 4 tutors for 81 students
Step-by-step explanation:
You need to find the unit rate,
for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.
Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.
Answer:
1/10
Step-by-step explanation:
1/6 / 1 2/3
Convert 1 2/3 to 5/3.
1/6 / 5/3
1/6 x 3/5
3/30 or 1/10
200 sections will cost $7439.
We first see if the rate of change, the slope, is the same between data points. If it is, the function will be linear. We use the formula
m = (y₂ - y₁)/(x₂ - x₁)
For the first two data points, we have
m = (1889-409)/(50-10) = 1480/40 = 37
For the second two data points, we have
m = (4664-1889)/(125-50) = 2775/75 = 37
Now that we know the slope is the same, we can write the equation:
y - y₁ = m(x - x₁)
y - 409 = 37(x - 10)
y - 409 = 37x - 370
Add 409 to both sides:
y = 37x + 39
Using 200 as x,
y = 37(200) + 39 = 7439
