Andrea rode her bike 3 23rds miles on saterday and 4 56 miles on sunday. how far did she bike in all

8 1/2 miles

Step-by-step explanation:

Please use " ' " to indicate fractions:

Andrea rode her bike 3 2/3 miles on saturday and 4 5/6 miles on sunday.

Add together 3 2/3 and 4 5/6.  The LCD is 6, so 3 2/3 should be rewritten as 3 4/6.  Now 3 4/6 and 4 5/6 have the same denominator, 6.

 3 4/6

+4 5/6

 7  9/6.    Note that 9/6 = 1 1/2, so rewrite

7  9/6 as 8 3/6, or 8 1/2.

She biked 8 1/2 miles in all.

(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

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: