Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?

The number of times Abigail is faster on her skateboard than she is walking is 2 times faster

Step-by-step explanation:

Let the distance to Abigail's home = D

The distance Abigail had traveled before hr skateboard broke = 2/3·D

The distance from home where the skateboard broke = D - 2/3·D = 1/3·D

The time it took Abigail to walk the 1/3·D home = Twice the time it will take her if she was on her skateboard

Let the time  it will take Abigail to travel the 1/3·D home on her skateboard = t

Therefore;

The time it took Abigail to walk the 1/3·D home = 2 × t

The speed of Abigail walking, = Distance/Time = 1/3·D/(2 × t) = D/(2·t)

The speed of Abigail skateboarding, = Distance/Time =D/t

The ratio of the speed of Abigail skateboarding to the speed of Abigail walking =

Therefore, Abigail is two times faster on her skateboard than she is walking.

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!