Alexander walked 1/3 mile to the ballpark. after the game, he walked 1/4 mile to the store. afterwards, he walked 2/3 mile home. if alexander walks this path three days a week, how many miles does he walk during one week? show work!
(a) 1 1/4 miles
(b) 2 3/4 miles
(c) 3 1/4 miles
(d) 3 3/4 miles

D. 3 3/4 miles per week.

1/3 mile = 33.3% of a mile.

1/4 mile = 25% of a mile.

2/3 mile = 66.7% of a mile.

1/3 + 2/3 = 1 mile

1/4 + 1 = 1 1/4 miles a day.

1 1/4 × 3 days per week = 3 3/4 miles a week.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap