Kristen needs at least 500 points to earn the next trophy on her video game. she has 418 points. how many points must she earn to win he trophy?

Points required to win the trophy =500

Points Kristen already scored = 418

Let Kristen require x points to win the trophy.

So making an equation using the information we have,

Now we have to solve this equation to get the value of x .

subtracting 418 from 500 , we have,

x=82

So Kristen require at least 82 points to win the trophy.

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!

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: