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solniwko [45]
3 years ago
15

From 85 books to 150

Mathematics
1 answer:
Lostsunrise [7]3 years ago
8 0
I'm not sure what the question is but I think your asking 150-85=65
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5. (05.03 LC) What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x pl
earnstyle [38]

Answer:

B. \frac{4x^{2}+24x+31}{3x^{2}+13x+12}

Step-by-step explanation:

We have been given a rational expression \frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)} and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.      

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}  

Now let us simplify our expression using FOIL.  

\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}

\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}    

Now we have same denominators, so we can add our numerators.

\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}    

Now let us combine like terms.

\frac{(1+3)x^{2}+(8+16)x+15+16}{3x^{2}+13x+12}  

\frac{4x^{2}+24x+31}{3x^{2}+13x+12}  

Therefore, the simplest form of our given rational expression will be \frac{4x^{2}+24x+31}{3x^{2}+13x+12}  and option B is the correct choice.

8 0
4 years ago
Choose the correct equation in point slope form for the line that passes through the point with the given slope.
Airida [17]
Here you should use the equation y - y1 = m(x - x1), where (x1, y1) are a point and m is the slope:
y - 1 = -3(x - 2)

I'm not sure if perhaps there's an error in the question or the re-typing but none of the answers stated above match the solution.
8 0
3 years ago
Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical plece of bub
Aloiza [94]

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.

V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.

V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is

V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Answer:

The volume is 115.5π in³ or 362.9 in³ (nearest tenth)

4 0
3 years ago
I NEED HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ I WILL MARK BRAINLEST
lozanna [386]

Answer:

EQUAL TO

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Three-fourths divided by 2 is?
Mariana [72]

Answer: i think 1/4

Step-by-step explanation: maybe i might be incorrect

3 0
3 years ago
Read 2 more answers
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