How do I solve this equation q(a+y)=67y+93

Mathematics

1 answer:

adell [148]4 years ago

8 0

A= 67y+93/q-y; q=/0
..........

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If 2/5 of the macaroni and cheese provides 16 pieces to the table,how many pieces were in the pan when it was full? Support you

astra-53 [7]

Bearing in mind that a whole will be 5/5, so the full pan is 5/5.

$\bf \begin{array}{ccll}
macaroni&pieces\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{2}{5}&16\\\\
\frac{5}{5}&p
\end{array}\implies \cfrac{\quad\frac{2}{5} \quad }{\frac{5}{5}}=\cfrac{16}{p}\implies \cfrac{2}{5}\cdot \cfrac{5}{5}=\cfrac{16}{p}
\\\\\\
\cfrac{2}{5}=\cfrac{16}{p}\implies 2p=80\implies p=\cfrac{80}{2}\implies p=40$

8 0

4 years ago

9x-20/(x+6)^2 partial fraction decomposition

Kryger [21]

We're looking for $a,b$ such that

$\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}$

Multiplying both sides by $(x+6)^2$ gives us

$9x-20=a(x+6)+b$

Notice that when $x=-6$ , the term involving $a$ vanishes and we're left with

$9(-6)-20=b\implies b=-74$

Then

$9x-20=a(x+6)-74=ax+6a-74\implies a=9$

so that

$\dfrac{9x-20}{(x+6)^2}=\boxed{\dfrac9{x+6}-\dfrac{74}{(x+6)^2}}$

3 0

3 years ago

Read 2 more answers

Plot the approximate values of and on a number line and determine which of the following statements are correct.

Vika [28.1K]

9514 1404 393

Answer:

square root of 5 is approximately 1 less than square root of 10
square root of 10 is between 3.1 and 3.2
square root of 10 is less than 3.5

Step-by-step explanation:

√5 and √10 are plotted on the number line shown below.

Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.