Of all fractions with a denominator of 17 and a whole number numerator, how many are
between 1/3 and 2/3?

1/3 as a decimal is 0.333

2/3 as a decimal is 0.6666

The numerator would need to be less than 17, so find the numbers when divided by 17 are greater than 0.333 and less than 0.6666.

5/17 = 0.294

6/17 = 0.353

The lowest whole number would be 6.

11/17 = 0.647

12/17 = 0.705

The highest whole number would be 11.

So you would have 6/17, 7/17, 8/17, 9/17, 10/17, 11/17 for a total of 6 numbers.

idk this answer sorry cant on this one.

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3