Bridget's bakery sells cupcakes in packeges of 6. penny's pastries sells cupcakes in packages of 10. sheldon wants to buy the same number of cupcakes from each bakery for a party, and he can buy only buy cupcakes in packages.

Sheldon should buy 5 packages to Bridget's Bakery and 3 to Penny's Pastries.

Explanation:

In order to buy the same amount of cupcakes from both stores, Sheldon should buy 5 packages to Bridget's Bakery and 3 to Penny's Pastries. To calculate this, Sheldon should calculate the least common multiple between 6 and 10, which is the number of cupcakes that each package has. The lest common multiple is the smallest positive integer that is divisible by both numbers (in this case, 6 and 10). To find the least common multiple Sheldon should calculate the prime factorization of 6 and 10, that is to say, which prime numbers multiply together to make the original number.

6= 2x3

10=2x5

After that, Sheldon should multiply each factor the greatest number of times it occurs, in this case:

2x3x5= 30

That means he needs to buy 30 cupcakes from each store. 30 divided by 6 is 5, and 30 divided by ten is 3. Those are the numbers of packages he needs.

a molly pitcher

b martha washington

c betsy ross

superior technology and improved medical knowledge to foster imperialism. quinine enabled europeans

to survive tropical diseases and venture into the mosquito-infested interiors of africa and asia. the combination

of the steamboat and the telegraph enabled the western powers to increase their mobility and to quickly respond

to any situations that threatened their dominance. the rapid-fire machine gun also gave them a military advantage

and was in convincing africans and asians to accept western control. the following table summarizes the

causes of the new imperialism:

causes of new imperialism

economic military/political humanitarian/religious technological

need for markets need for military bases white man’s burden new medicine

raw materials national security spread of christianity new weapons

source of investments source of

pride—nationalism

social darwinism

(superiority of western

society)

transportation

i