the sum of three consecutive numbers is 41 less than five times the largest number. find the largest number.

19

Step-by-step explanation:

So:

x + (x + 1) + (x + 2) = 5 (x + 2) - 41

3x + 3 = 5x + 10 - 41

3x + 3 = 5x - 31

34 = 2x

17 = x

The numbers are 17, 18, and 19. The biggest is 19

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".

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13