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Elina [12.6K]
3 years ago
7

Daniel, Clarence, and Matthew split a $20.20 dinner bill so that Daniel pays half of what

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

  6

Step-by-step explanation:

Clarence paid twice what Daniel paid, so paid 2×$6.06 = $12.12.

We assume that Matthew paid what Daniel and Clarence did not, so Matthew paid ...

  $20.20 -6.06 -12.12 = $2.02

Then the ratio of Clarence's bill to Matthew's was ...

  $12.12 / $2.02 = 6

The ratio of Clarence's pay to Matthew's pay is 6.

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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
3 years ago
Does anyonneeeeee get thissssss
Ber [7]

Answer:

B is an answer.

8 0
2 years ago
Can you pls help with these I really need help​
alukav5142 [94]

Answer:

for question one - x = 12

Step-by-step explanation:

a triangle is always 180, in other words you will add all the corners equal to 180

ex (for first question) - 7x -2 + 4x + 5x - 10 = 180

you add like terms, the x with x and single numbers with numbers, which results in 16x - 12 = 180. then you do the original operation "what you do to one sign of the equal side you do to the other"

6 0
3 years ago
What is the degree for this polynomial 4ry2 + 3x<br> 5
kenny6666 [7]

Answer:

I hope your question is 4x²+3x+5, then the degree of this polynomial is 2

6 0
3 years ago
Pls help so I did tournament with my friend the placement is 1st-1250th and we got top 27% what does that mean-
Vesnalui [34]

Answer:

1st place through 1250th. 1250 Divided by top 27% = 337.5

Step-by-step explanation:

Hope this helps! Have a great day

6 0
3 years ago
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