At my friend’s middle school the ratio of teachers to students is 1:9. If there are 45 teachers at the school, how many students are there? Show your work or explain how you determine your answer. Write a literal/explicit equation to model the situation above. Where Y is the number of students and X the number of teachers at the school

405 students

Step-by-step explanation:

1=teachers

9=students

1=45 teachers

9=y students

 y=9 x 45

 y=405 students

d 192

step-by-step explanation:

we find our area to find area we multiply thoses numbers to get our answer so our area is 192

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true