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vodka [1.7K]
3 years ago
6

Write the expression nine divided by the quantity of x plus y

Mathematics
1 answer:
seropon [69]3 years ago
7 0

9514 1404 393

Answer:

  \text{A)}\quad\dfrac{9}{x+y}

Step-by-step explanation:

In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...

  \dfrac{9}{x+y}

When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:

  9/(x+y)

These expressions match the first choice, A.

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HELPPPPPPPPPPPPPPPPPP
Finger [1]

Answer:

Given expression : \frac{9}{4}-2(4x+\frac{4}{3} )+\frac{5}{2}x    ......[1]

Using distributive property:  a\cdot (b+c) =a\cdot b + a\cdot c

[1]⇒   \frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x

Simplify:

\frac{9}{4} - 8x - \frac{8}{3}+\frac{5}{2}x

Like terms are those terms which are same variables.

Combine like terms: we get;

(\frac{9}{4} - \frac{8}{3}) - 8x + \frac{5}{2}x            ......[2]

\frac{27-32}{12} -8x +\frac{5}{2} x

Simplify:

\frac{-5}{12} -8x +\frac{5}{2}x  

or

\frac{-5}{12} - \frac{11}{2}x  

we can write equation [2] as;

\frac{27}{12} - \frac{8}{3} - 8x + \frac{5}{2}x

Combine like terms of x variables;

\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x

Therefore, the expressions which are equivalent to the Given expression are:

\frac{9}{4} - 2(4x) - 2(\frac{4}{3})+\frac{5}{2} x

\frac{-5}{12} -8x +\frac{5}{2}x  

\frac{27}{12} - \frac{8}{3} - \frac{11}{2}x

\frac{-11}{2}x - \frac{5}{2}





3 0
3 years ago
What’s the difference between the scientific method and scientific inquiry?
Korvikt [17]

Answer:

Step-by-step explanation:

The scientific method is the construction and testing of a scientific hypothesis and scientific inquiry is different ways in which scientist study the natural world. They propose explanations based on evidence from their work.

Hope this helps

7 0
3 years ago
12.75 x 2 plus 13 x 3 plus 13.25 x 4 plus 13.5 x 3 PLEASE HELPPP QWICKKKK
Leona [35]

Answer:

158

Step-by-step explanation:

4 0
3 years ago
Please help me find x. I really don't get it.
inysia [295]

Answer:

  x = 11

Step-by-step explanation:

The relationship between the sine and cosine functions can be written as ...

  sin(x) = cos(90 -x)

  sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values

Equating arguments of the cosine function, we have ...

 90 -(3x+4) = 8x -35

  86 -3x = 8x -35

  86 +35 = 8x +3x . . . . . add 3x+35 to both sides

  121 = 11x . . . . . . . . . . . . collect terms

  121/11 = x = 11 . . . . . . . . divide by 11

_____

<em>Comment on the solution</em>

There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...

  11 +(32 8/11)k . . . for any integer k

Another set is ...

  61.8 +72k . . . . . for any integer k

3 0
3 years ago
Find the value of x.<br> 8<br> 5<br> X + 20<br><br> I need help please
Deffense [45]

Answer:

x=-\frac{68}{9}

Step-by-step explanation:

\frac{9}{14}=\frac{8}{x+20}\\

9(x+20)=8*14\\9x+180=112\\9x=-68\\x=-\frac{68}{9}\\

5 0
3 years ago
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