A baseball team will play 12 home games during the season. It has played 6 home games so far. Of the season's remaining games, 1/3 will be played at home. How many games, g, remain in the season?

18

Step-by-step explanation:

Total number of home games = 12

Number of played home games = 6

Hence,

Number of unplayed home games = 12 - 6 = 6

Let the number of remaining games be x

Of the remaining games, he will be playing 1/3 at home

This simply means that the number of unplayed home games will be 1/3 of the total remaining games

Now expressing this mathematically,

(1/3) * x = 6

By cross multiplication,

1 * x = 3 * 6

Hence, x = 18

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

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.