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neonofarm [45]
3 years ago
15

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Reduce this algebraic fraction.

Mathematics
2 answers:
qaws [65]3 years ago
8 0

Answer:

I gues you want a simplification of the number in the image, you have:

\frac{27C^4D^5}{9C^7D^4}

To solve this i will use that:

(a^x)/(a^y) = a^(x - y)

first, we separte the division into 3 parts, one with the knowed numbers, other with the variable C and other with the variable D.

\frac{27C^4D^5}{9C^7D^4} = \frac{27}{9}*\frac{C^4}{C^7}*\frac{D^5}{D^4}   = 3C^{4-7} D^{5-4} = 3C^{-3}*D

this can also be written as:

\frac{3D}{C^3}

skad [1K]3 years ago
7 0
1 over 3c3d1that's the final answer

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Solve the following system:
Angelina_Jolie [31]
You can rewrite the second equation because you know what y equals, so you can write it as 2x + x + 3 = 9
3x + 3 = 9
- 3
3x = 6
÷ 3
x = 2

And now you use the equation of what y equals and substitute in the value of x, so y = 2 + 3
y = 5

So your final answer is A. (2, 5). I hope this helps!
7 0
3 years ago
Two trains are traveling towards each other at a constant speed. The trains are currently 714 miles from each other. The speeds
shutvik [7]
55mph.

you can solve it using the equation distance=speed x time

your total distance is 714, and you have 2 trains, one traveling some speed, x, and one traveling x+8, both traveling for 7 hours. 
your equation would look like this
714 = x(7) + (x+8)(7)
and you can then solve for x, which would be 47. this is the speed of the slower train, but 47+8=55 with give you the speed of the faster train. 
6 0
3 years ago
The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F
PolarNik [594]

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter =2(x+4x+7)=2(5x+7)=10x+14 meters

Hence,

10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters

5 0
3 years ago
Solve for y.<br> py + qy = -4y + 8<br> y =
Elanso [62]

Answer:

y=8/(p+q+4)

Step-by-step explanation:

py+qy=-4y+8

Collect all terms containing y together

Py+qy+4y=8

Factor out y

y(p+q+4)=8

Divide both sides by (p+q+4)

y(p+q+4)/(p+q+4)=8/(p+q+4)

y=8/(p+q+4)

3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-5,5) and has a slope of -1
max2010maxim [7]

Answer:

y - 5 = -(x + 5)

y - 5 = -x - 5

y = -x

7 0
3 years ago
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