Agrasshopper covered a distance of 5 yards in 9 equal hops. how many yards did the grasshopper travel on each hop?
a. draw a picture to support your work.
b. how many yards did the grasshopper travel after hopping twice?

a)5/9 yards=0.556yards

b)10/9 yards=1.11 yards

Step-by-step explanation:

for the part a

To solve this exercise we must divide the total distance traveled by the grasshopper (5 yards) by the number of jumps that were made (9).

if you use the calculator you will realize that the value is 0.55yards

for the part b

knowing the distance traveled in a jump, we multiply this value by two to find out how much is the distance traveled in 2 jumps

if you use the calculator you will realize that the value is 1.11 yards

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

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!