in a castle there is enough food for 72 soldiers to last 24 days. after 4 days another 8 soldiers join them. for how many days will the remaining food last

Which equation has only one solution? |x - 5 = - 1 |-6 - 2x1 = 8 5x + 10 = 10 |-6x + 31 = 0

Note that this problem is given as (m - n) / 2 where the numerator is m - n and then the denominator is 2. You will need to find the value in the numerator, then divide by 2. show steps how you got your answer

Triangle ABC has vertices at A (-2,-3), B (6,-3), C (-1,5). Answer the following and round your answers to the nearest hundredth if necessary. a. Find the perimeter of triangle ABC. b. Find the area of triangle ABC. a. Perimeter: b. Area:

The speed of the giraffe is 250% of the speed of the squirrel. if a squirrels speed is 12miles per hour, find the speed of the giraffe.

Sergei has $23 000 in assets and $13 200 in liabilities. If Sergei used $3000 of his cash to pay off his bank loan, how would that impact his owner's equity? Use the balance sheet equation to illustrate your answer.

The sum of one half of a number and 6 equals one third of the number, what is the number? a. -36 c. -24 b. -42 d. -48

Chloe made a conjecture that given any two numbers, the greater number can always be arranged into more arrays. State whether you agree or disagree.

1/4 d + 3/4 (d+16) = - 5

Jessie is going river rafting with 10 friends. It costs $10 per person to ride on the rafts. There is also a $6 fee per raft for rental. each raft fits 6 people. How much will it cost for the group to go river rafting

Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50.