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

16x=1200
divide both sides by 16
1200/16
so we  simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)
1200=3*2*2*2*2*5*5
16=2*2*2*2*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
1200 coffees/16 coffees= 75 hours

## Related Questions

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}
{1,3,9}
{3,9}
{3,9,12}

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}

#SPJ5

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,
TOTAL=Ann+Betty
\$60= \$39+\$21

Betty has \$17 and Ann has \$43.

### Explanation:

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.

brainly.com/question/32436021

#SPJ11

If P(x,y) is the point on the unit circle defined by real number theta , then csc theta= _____.x/y
y/x
1/x
1/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

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