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

Answers

Answer 1
Answer: 16 times x=1200 or 
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 
Answer 2
Answer: 75 hours
1200 coffees/16 coffees= 75 hours

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f the sample size n=25, the sample mean = 10 and the sample standard deviation s=6, create the 90% confidence interval for the population mean and interpret it. A. The confidence interval is [7.52 ,12.48] and 90% of the population values fall in this interval. B. The confidence interval is [7.52 ,12.48] and there is a 90% chance that the population mean has a value that falls within this interval. C.The confidence interval is [7.95 ,12.05] and there is a 90% chance that the population mean has a value that falls within this interval. D. The confidence interval is [7.95 ,12.05] and 90% of the population values lie within this interval.

Answers

Answer:

(s/√n) is the standard error of the sample mean. If the sample size n=25, the sample mean = 10 and the sample standard deviation s=6, create the 90% confidence interval for the population mean and interpret it. A. The confidence interval is [7.52 ,12.48] and 90% of the population values fall in this interval.

Prove the logarithm of 100 is 2

Answers

Because 10^2 is 100, the natural logarithm of 100 is 2 by the basic definition of logarithms.

THE VOLLEYBALL TEAM WON 80% OF THE GAMES THEY PLAYED THIS SEASON. THETEAMPLAYED A TOTAL OF 25 GAMES. how many games the volleyball team won

Answers

Answer:

20 games won

Step-by-step explanation:

duh

Solve for x in the triangle below. Show your work for full credit

Answers

Answer:

x = 3

Step-by-step explanation:

Since the sum of the interior angles of a triangle is always equal to 180°. This is regardless of the size or shape of the triangle.

In this case:

We can say that:

\sf 45^\circ + 90^\circ + (8x+21)^\circ =180^\circ

Simplify like terms:

\sf 45^\circ + 90^\circ + 8x+21^\circ =180^\circ

\sf 156^\circ +8x = 180^\circ

Subtract 156° on both sides:

\sf 156^\circ +8x -156^\circ= 180^\circ- 156^\circ

Simplify:

\sf 8x = 24^\circ

Divideby8 on both sides:

\sf (8x)/(8)=(24)/(8)

\sf x = 3

Therefore, the value of x is 3.

Answer:

\sf\n\textsf{The square angle in the triangle indicates }90^o.\n\n\textsf{Since sum of angles of triangle equals }180^o,\n\n(8x+21)^o+45^o+90^o=180^o\n\textsf{or, }(8x+21)^o=45^o\n\textsf{or, }8x=24^o\n\therefore\ x=3^o

If (−3.5, y) is a solution to the equation 2x − 5y = 10, what is the value of y?a) -3.4
b) 13.75
c) -0.6
d) -3.75

Answers

2x - 5y = 10
2(-3.5) - 5y = 10
-7 - 5y = 10
+7          +7
     -5y = 17
      -5     -5
        y = -3.4
The value of y is equal to A. -3.4.

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?

Answers

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. the top of The ladder reach up to 9.2 feet high approximately

What is Pythagoras theorem?

It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).

Pythagoras theorem,

H² = A² + B²

Given that,

Ladder = 10 foot

Bottom of ladder = 4 feet away from the bottom of tree          

H² = A² + B²

10² = A² + 4²

A   =  9.16

Therefore, the top of the ladder reach upto 9.2 feet high.

To know more about Pythagoras theorem check:

brainly.com/question/343682

#SPJ2

Answer:

i took this quiz and the right answer is 9.2 feet good luck

Step-by-step explanation: