A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she's made 1,200 coffees?


Answer 1
Answer: 16 times x=1200 or 
divide both sides by 16
so we  simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)
so we notice that there are four 2's in both so those are the 'ones' so cross them off and get
3*5*5/1 or 75/1 or 75 hours 
Answer 2
Answer: 75 hours
1200 coffees/16 coffees= 75 hours

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Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B.{1,3,5,7,9,11}


The outcomes of rolling two cubes are shown in the table below (the outcomes is added up). The members of A are circled while the members of B are boxed. The members of A that also members of B is both circled and boxed.

P(A) = {3, 5, 7, 9, 11}
P(B) = {3, 6, 9, 12}
P(A∩B) = {3,9}

The intersection between the sets are the values that are common to both sets that is {3, 9}

What are sets?

Sets are arrangement of values of elements in a specified way.

Given the following sets

A = {1, 3,5, 7, 9, 11}

B = {3, 6, 9,12}

The intersection between the sets are the values that are common to both sets, hence;

A ∩ B = {3, 9}

Learn more on set here: brainly.com/question/5660357


Ann and Betty together have $60. Ann has $9 more than twice Betty's amount. How much money does each have?


first and mainly keep that 9 one side,
There are 2 people involved Ann and Betty, Then divide the TOTAL AMOUNT BY THE NUMBER OF PEOPLE.
· Then it will look like $60÷2= $30 per person.
In this case everyone has equal amount of money, but the question say Ann has $9 more than Betty's. so, Ann≈ $30 +$9= $39.
                                                       Betty≈ $30-$9= $21
         Because loses money because Ann has more,                        
                                       $60= $39+$21

Final answer:

Betty has $17 and Ann has $43.


This problem is a basic algebraic equation. Let's denote Betty's amount as x. From the problem information, we know that Ann's amount is twice Betty's plus $9, so we can denote it as 2x + $9. It's also told in the problem that together they have $60, so we can form the equation: x (Betty's money) + 2x + $9 (Ann's money) = $60.

Solving this equation, we combine like terms, which gives us 3x + $9 = $60. Subtract $9 from both sides to get 3x = $51. Divide each side by 3, we get x = $17. So, Betty has $17. We substitute x = $17 into the equation 2x + $9 to find Ann's money, which gives us 2*$17 + $9 = $43. So, Ann has $43.

Learn more about Algebra here:



If P(x,y) is the point on the unit circle defined by real number theta , then csc theta= _____.x/y


csc thta =r/ y=1 /sin theta
see attachment below


Step-by-step explanation:

Solve the equation -1/3m-7=5


The Equation:                 -1/3 m - 7 =  5

Please watch me closely.

Add  7  to each side:       -1/3 m      = 12

Multiply each side by  3 :    -1 m      = 36

Multiply each side by  -1 :       m      = -36

With two coins, what is the probability of both coins landing on tails?


1 out of 4 I'm pretty sure

Y=2x^2-2x+7 in vertex form