It took Julius 1/3 of an hour to ride his bike 2 3/4 of a mile. How many miles per hour can he ride his bike?

33/4 miles per hour

Step-by-step explanation:

Hi, to answer this question we simple have to divide the distance travelled by the bike (2 3/4) by the time spent (1/3)

Speed rate = distance /time

Replacing with the values given:

S = 2 3/4 ÷ 1/3 = (2x4+3)/4 ÷1/3 =11/4 ÷1/3= 33/4 miles per hour

Feel free to ask for more if needed or if you did not understand something.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph