Answer:
Problem 1:
Width of the larger version = 2.99 in.
Problem 2:
Friday = 5⅞ miles
Step-by-step explanation:
Problem 1:
Since the cell-phones are similar in shape and the width and length of both are proportional, therefore:
Width of the bigger phone/Width of the smaller phone = length of the bigger phone/length of the smaller phone
Width of smaller phone = 2.6 in.
Length of smaller phone = 5.4 in.
Width of bigger phone = x = ? in.
Length of bigger phone = 6.21 in.
Therefore:
6.21/5.4 = x/2.6
Cross multiply
5.4 × x = 2.6 × 6.21
5.4x = 16.146
Divide both sides by 5.4
x = 16.146/5.4
x = 2.99
Width of the larger version = 2.99 in.
Problem 2:
Jen's goal for the 5 days = 22 miles
The number of miles she ran Mon to Thursday was given.
To meet her goal, let's find the number of miles she has to run to meet her goal.
Thus:
Number of miles to run on Friday = 22 - (4¾ + 5⅛ + 0 + 6¼)
Change to improper fraction
= 22 - (19/4 + 41/8 + 0 + 25/4)
= 22 - ((38 + 41 + 0 + 50)/8)
= 22 - 129/8
= (176 - 129)/8
= 47/8
= 5⅞ miles
