Reiko needs to mail her Christmas cards and packages and wants to keep her mailing costs to no more than $500. The number of cards is at least 4 more than twice the number of packages. The cost of mailing a card (with pictures enclosed) is $3 and the cost of mailing a package is $7. Can she mail 60 cards and 26 packages?

Yes

Step-by-step explanation:

Simply plug in these values into our constraints and see if they work.

60 - 26(2) = 8

This meets the first constraint since 60 cards is 8 more than 2 times 26 packages.

Reiko can only spend $500 or less, so we have:

3(60) + 7(26) ≤ 500

180 + 182 ≤ 500

362 ≤ 500

This statement is in fact, correct.

Therefore, Reiko is able to mail 60 cards and 26 packages.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²