Almost 9 over 16 of the total water supplied to a household is used for taking showers. Determine the decimal equivalent of 9 over 16 . Use words to explain if the decimal terminates or repeats. (10 points)

0.5625

Step-by-step explanation:

9 divided by 16 equal 0.5625

9/16 equals to 0.5625 so it terminates.

16 doesn't go into 9 so 0. Add a zero so 16 goes into 90 5 times and it equals to 80 so subtract 80 from 90 which equals 10.  Add another zero since 16 cant go into ten and 16 goes into 100 6 times and it equals to 96 so 100-96 equals 4. Sixteen cant go into 4 so add a zero which makes it 40. 16 goes into 40 2 times and it equals to 32 so 40-32=8. Add a zero to the eight and 16 goes into 80 5 times and etc etc.

x = 25/2304

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!