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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A ratio is defined as:   A. a comparison between three sets.   B. a comparison between two sets.   C. a set of equal ratios.   D. two equal numbers.


A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. Therefore, the correct answer to the question "A ratio is defined as:" is "a comparison between two sets" (option B).

Find the product. -mnp(3m - 5n + 7p)


- mnp ( 3 m - 5 n + 7 p )

= -mnp * 3 + 5mn² - 7 mnp²

=> - 3 m²np + 5 mn² - 7 mnp²

hope this helps!


- 3 m²np + 5 mn² - 7 mnp²

Step-by-step explanation:

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is (i)a card of spade or an ace (ii)a red king (iii)neither a king nor a queen (iv)either a king or queen.Thank you.


There are 52 cards in a standard deck so that would be the whole in the part/whole equation so
i... There are 13 spade cards and then 3 other aces since there are 4 suits of cards so 16/52 or about 0.30769 or 30.8% rounded

ii....There are 2 reds of each card in a standard deck along with 2 blacks so there would be 2 red kings which would be a 2/52 chance or about 0.0384 or 3.8% rounded

iii.... There are 4 kings and 4 queens in each deck so (52-8)/52 which is a 44/52 chance, 0.8461 about, or 84.6% rounded

iv..., As I said in iii, there are 8 kings and queens so an 8/52 chance, about 0.1538, or 15.4% rounded

How to solve pemdas?



Be sure to follow the order

Answer: PEMDAS Stands for:

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

All you have to do is do the equation in this order!

Point A, located at (-2, 4), is translated down 6 units. What are the coordinates of A'?(-8, 4)
(-8, -2)
(-2, -2)
(-2, 4)


(-8, 4)                             hope that helps



Step-by-step explanation:

How many whole numbers less than 100 are multiples of 3 but not multiples of 5?