When the integer x is divided by the integer y, the remainder is 60. which of the following is a possible value of the quotient x/y?
i. 15.15ii.18.16iii. 17.17(a) i only(b) ii only(c) iii only(d) i and ii only(e) i and iii only

D

Step-by-step explanation:

Given

when x is divided by y then remainder is 60

we can write x as

Here is the decimal part

for example

for option

which is a integer so it is possible

for option b

so

y is integer so it is possible

(c)

y=352.94 which is not a integer so option 3 is not possible

So option D is the correct option        

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8