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4 years ago

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

Mathematics

1 answer:

nignag [31]4 years ago

5 0

Answer:

75 hours

Step-by-step explanation:

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

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A line passes through the points (2,2) and (5,8). What is its equation in slope-intercept form?

Vsevolod [243]

Answer:

y=2x+6

Step-by-step explanation:

Slope of line is 2

Plug slope and first set of coords into point-slope intercept form

3 0

3 years ago

Help finding derivative

marusya05 [52]

$\bf \displaystyle \cfrac{d}{dx}\left[ \int\limits_{\sqrt{x}}^{\frac{\pi }{2}}~[cos(t^2)]dt \right]\implies \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{\sqrt{x}}~[cos(t^2)]dt \right]\\\\\\ \cfrac{d}{dx}\left[ -\int\limits_{\frac{\pi }{2}}^{x^{\frac{1}{2}}}~[cos(t^2)]dt \right]\\\\
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6 0

3 years ago

A pet owner has 5 cats. Each cat has 2 ears and 4 paws. Complete the double number line to show the numbers of ears and paws for

aleksandrvk [35]

Answer:

If there are 3 cats in the room, what is the ratio of ears to paws? 1 : 2

If there are 4 cats in the room, what is the ratio of paws to ears? 2 : 1

If all 5 cats are in the room, how many more paws are there than ears? the number of paws is twice as more than the number of ears, we have 10 more paws than ears.

Step-by-step explanation:

You can see the double number line for this situation in the attached photo.

So as we can see in the double number line diagram, if there are 3 cats in the room we would have an ears to paws ratio of 6 : 12 , which simplified would be 1 : 2, meaning that for every ear there are 2 paws.

For the next question, if there are 4 cats in the room, the paws to ears ratio would be 16 : 8, simplified to 2 : 1, meaning that for every 2 paws there is 1 ear.

And for the last question, if all 5 cats are in the room, we have that the paws to ears ratio is 20 : 10, simplified again to 2 : 1, meaning the number of paws is twice as more than the number of ears, so in this case we have 10 more paws than ears.

7 0

3 years ago

Can someone help me with this

Dimas [21]

Answer:

596.0 ft

Step-by-step explanation:

The relationship between the two legs of a right triangle and an acute angle is ...

Tan = Opposite/Adjacent

The height (h) of the lighthouse is the side opposite the angles of elevation. If d is the distance between A and B, we can write two tangent relations:

tan(14°) = h/770

tan(8°) = h/(770 +d)

Equating expressions for h gives ...

770·tan(14°) = (770 +d)·tan(8°)

770(tan(14°) -tan(8°)) = d·tan(8°) . . . . subtract 770·tan(8°)

d = 770·(tan(14°)/tan(8°) -1) . . . . . divide by the coefficient of d

d ≈ 770·(1.7740609 -1) = 596.03

The distance from point A to point B is about 596.0 feet.

3 0

2 years ago

How to solve this problem?

Jobisdone [24]

9x - 8y = -11

-9x + 3y = 21

Add the second equation

9x - 8y = -11

+ (-9x) + 3y = 21

-5y = 10

divide both sides by -5

y = -2

substitute y into one of the two equations in the beginning

9x - 8(-2) = -11

9x + 16 = -11

subtract 16 on both sides

9x = -27

divide both sides by 9

x = -3

The answer is (-3, -2)

x = -3

y = -2

6 0

3 years ago