The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people
1 answer:
<u>Question</u>:
The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?
A: 100 people
b. 280 people
c.440 people
d.760 people
<u>Answer</u>:
A )95 students and 5 teachers
B)266 students and 14 teachers
C)418 students and 22 teachers
D)722 students and 38 teachers
<u>Step-by-step explanation:</u>
<u><em>A: 100 people</em></u>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 5
The number students is = 95
The number of teachers is = 5
<em><u>b. 280 people </u></em>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 14
The number students is = 266
The number of teachers is = 14
<em><u>c.440 people</u></em>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 22
The number students is = 418
The number of teachers is = 22
<em><u>d.760 people</u></em>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 38
The number students is = 722
The number of teachers is = 38
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Answer:
Step-by-step explanation:
We know that the slope of the line is -1.
We also know that the line passes through (-9, 3) and (-10, r).
We want to find the value of r.
First, let's figure out the equation of our line. We can use the point-slope form:
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).
Substitute:
Simplify:
Distribute:
Add 3 to both sides. So, our equation is:
It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:
Evaluate for r. Distribute:
Subtract:
So, the value of r is 4.
And we're done!