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spin [16.1K]
2 years ago
8

Sara read 29 1/2 ​ pages in 2/3 ​ of an hour. At what rate, in pages per hour, did she read?

Mathematics
1 answer:
lesya [120]2 years ago
7 0

Answer:

44 1/2 pph

Step-by-step explanation:

1/3 of an hour she reads 14 3/4 pages,that means that 3 times 14 3/4 equals 44 1/2 pages per hour

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What is the slope of the graph of 4 x + 8 y = 11?
Karolina [17]

Answer:

B  -1/2

Step-by-step explanation:

4x+8y = 11

We need to get the equation in the slope intercept form

y = mx+b  where m is the slope and b is the y intercept

Subtract 4x from each side

4x-4x+8y = -4x+11

8y = -4x+11

Divide by 8

8y/8 = -4x/8 +11/8

y = -1/2x +11/8

The slope is -1/2 and the y intercept is 11/8

8 0
3 years ago
Read 2 more answers
Some help figuring out the answer?? Also explain a little how you got there
ipn [44]

9514 1404 393

Answer:

  x = 10·cos(θ) -4·cot(θ)

Step-by-step explanation:

Apparently, we are to assume that the horizontal lines are parallel to each other.

The relevant trig relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

If the junction point in the middle of AB is labeled X, then we have ...

  sin(θ) = 4/BX   ⇒   BX = 4/sin(θ)

  cos(θ) = x/XA   ⇒   XA = x/cos(θ)

Then ...

  BX +XA = AB = 10

Substituting for BX and XA using the above relations, we get

  4/sin(θ) +x/cos(θ) = 10

Solving for x gives ...

  x = (10 -4/sin(θ))·cos(θ)

  x = 10·cos(θ) -4·cot(θ) . . . . . simplify

_____

We used the identity ...

   cot(θ) = cos(θ)/sin(θ)

6 0
3 years ago
Carla’s vet suggested that her new puppy have at least 64 square feet of exercise space. Carla plans to build an enclosed, squar
strojnjashka [21]
I think it’s 16 per side but that’s 64 ft around I hope this helps sorry if it’s wrong
4 0
3 years ago
1/4+1/6 in simplest form
Genrish500 [490]

1/4 + 1/6 = 10/24 reduced (simplest form)  = 5/12


5 0
3 years ago
13. Credit Cards In 2000, people charged $1,243 billion
Ganezh [65]

Answer: 119 billion

Step-by-step explanation:

Alright, so the rate of change is the same thing as the slope, so we can find this by using the slope formula (which I took a picture of because it's super messy to type it out like this)

Now that we know the slope formula, we need to find the x values and the y values to plug into the equation. We'll say that the years are our x values and the money spent (in billions) are our y values. Now that we've set up an axis, we can create points! Our points would be (2000, 1243) and (2005, 1838)

Now we can plug our points into our equations! On the top of our equation, we'll put (1838-1243), and on the bottom we'll put (2005-2000). When we simplify that, we end up with 595/5, which simplifies to 119. Now we know that the rate of change for the credit cards was 119 billion!

3 0
2 years ago
Read 2 more answers
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