use algebra tiles to solve 5n + 2 = 3n + 8. (do this on paper. your instructor may ask you to turn in this work.) show the corresponding algebraic representation. 5n + 2 = 3n + 8
5n + 2 − 2 = 3n + 8 −
5n = 3n +
5n − 3n = 3n + 6 − __n
2n =__
2n ÷ 2 = 6 ÷ n =

n=3.

Step-by-step explanation:

5n+2=3n+8

We substract 2 in both sides to cancelate the 2 in left:

5n+2-2=3n+8-2

5n=3n+6

We substract 3n in both sides to cancelate the 3n in right:

5n-3n=3n+6-3n

2n=6

Finally, we divide by 2 in both sides to clear n:

2n/2 = 6/2

n=3.

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold