Annie can walk 1/2 of a mile in 1/4 of an hour. How many miles can she walk in 2 1/2 hours if she walks at the same constant speed?

She can walk 5 miles in 2 1/2 hours.

Step-by-step explanation:

1/4 of an hour means that 4/4 is 1 hour. If she can walk 1/2 of a mile in 1/4 of an hour, then 1/2 + 1/2 + 1/2 + 1/2 = 1 hour. 1/2 + 1/2 + 1/2 + 1/2 = 2 hours. To get 1/2 of an hour from 1/4 you need to add 1/4 by itself to get 1/2, so you have to add  1/2 + 1/2 to get 5 miles in 2 1/2 hours.

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area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.