The ratio of the number of andy's seashells to the number of ben's seashells is 4:9 . andy has 100 seashells. how many seashells does ben have?

Ben has 225 seashells

Step-by-step explanation:

Step 1:  Use the ratio to see how many times the amount Andy has

4 * n = 100

4n / 4 = 100 / 4

n = 25 times the amount of the ratio

Step 2:  Find out how many shells Ben has

Use the 25 times the ratio to help

9 * 25

225

 Ben has 225 seashells

Check:  See if the ratio still works

Andy = 100

Ben = 225

100 : 225

(100/25) : (225/25)

4 : 9 -> Correct, so the answer is good

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

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!