100 POINTS SHOW YOUR WORK, ANSWER ALL PLEASE HELP A chef has a favorite muffin recipe that uses 1/2 cup of blueberries for a whole batch. He has 3/4 cups of blueberries that he wants to use. Which equation can be used to solve for the number of batches of muffins, b, that the chef can make?

3/4 ÷ 1/2 = B
3/4 ÷ 2/1 = B
1/2 ÷ 3/4 = B
2/1 ÷ 3/4 = B

Monty has 3/4 pound of trail mix. He needs to divide the trail mix into 1/8 pound bags. How many trail mix bags will Monty have?

An adult elephant in the wild spends about 16 hours each day eating. During that time, the elephant will eat about 525 pounds of food.
If the elephant eats the same amount of food each hour, about how much food does it eat in one hour, to the nearest whole pound? Show or explain how you got your answer.

Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500?

Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27.
What did he write?

A club with 24 members has 4,896 event flyers to pass out.
Each member will be given the same number of flyers.
How many flyers does each member get?

Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.

Quantity of trail mix with Monty = 3/4 pounds

Quantity of pounds he need to divide it into = 1/8

Number of trail mix bags Monty will have =

= 3/4 ÷ 1/8

= 3/4 × 8/1 ( division of fraction is multiplication with reciprocal )

= 24/4

We know that both 24 and 4 is divisible by 4 . Hence ,

= 24 ÷ 4 / 4 ÷ 4

= 6/1

= 6 bags

Therefore , Monty will have 6 bags of trail mix .

Quantity of food an elephant eats in 16 hours = 525 pounds

Quantity of food the elephant will eat in 1 hour = 525 ÷ 16

Quantity of food the elephant will eat in 1 hour = 32.8125 pounds = 33 pounds

Therefore , an elephant eats 33 pounds of food in 1 hour .

Number of tickets that can be purchased with $14 = 1 ticket

Number of tickets that can be purchased with $500 =

= 500 ÷ 14

= 35 tickets

Therefore , 35 tickets can be purchased with $500 .

Factors of 45 = 1 , 5 , 3, 9 , 15 and 45 .

Factors of 27 = 1 , 3 , 9 and 27 .

Their Greatest common factor = 9 .

Then , the sum of 45 and 27 can be written as :

9 ( 5 + 3 )

Therefore , Mr . Morris wrote = 9 ( 5 + 3 ) .

Total number of event flyers in a club = 4896

Total number of playerz in a club = 24

Then number of flyers each member of the club will get =

= 4896 ÷ 24

= 204

Therefore , each player will get 204 flyers .

Part A is not given .

Part B :

= 7950 ÷ 25

= 318

Therefore , 7950 ÷ 25 = 318 .

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3