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3 years ago

9/18 + 1/3 Show all work

Mathematics

2 answers:

balu736 [363]3 years ago

7 0

Answer:

5/6

5/6 Is the simplified answer the unsimplified answer is 15/18

Roman55 [17]3 years ago

6 0

Answer:

5/6

Sorry I couldn't go into more detail

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Brooks used 2/3 of a can of paint to paint the bird feeder. A full can of paint contains 7/8 of a gallon. How much paint did Bro

Cerrena [4.2K]

When Brooks painted more he used 6/12 of what was left(1/2 of what was left)

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3 years ago

Alan has read 10% of a book. He has 81 more pages to finish. How many pages are there in the book?

rewona [7]

Answer:

Step-by-step explanation:

100%-10%=90%

90%->81

10%->9

100%->9+81=90

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2 years ago

Please Help:

dolphi86 [110]

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3 years ago

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit

padilas [110]

Answer:

An electronics company can be produce 350 transistors and 340 computer chips, they can´t produce resistors.

Step-by-step explanation:

1. We will name the variables for transistors, resistors and the computer chips.

a = Transistors

b= Resistors

c = Computer chips

2. We propose three linear equations, one for the copper, one for the zinc and one for the glass.

$\left \{ {{3a+3b+2c=1730} \atop {a+2b+c=690}}\atop {2a+b+2c=1380}} \right.$

3. We write the matrix form as Ax=d

$A=\left(\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right)$

$x=\left(\begin{array}{ccc}a\\b\\c\end{array}\right)$

$A=\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

With this formula the solution of x is $x=\frac{d}{A}$ or $x=A^{-1}d$

4. We will find the inverse matrix $A^{-1}$ using the formula:

$A^{-1} = \frac{1}{detA} (C_{A})^{T}$

a. det A

$det A=\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right] =3*(4-1)-3*(2-2)+2*(1-4)=9-0-6=3$

b. $(C_{A})^{T}$

$C_{A}=\left(\begin{array}{ccc}4-1&.(2-2)&1-4\\-(6-2)&6-4&-(3-6)\\3-4&-(3-2)&6-3\end{array}\right)$

$C_{A}=\left(\begin{array}{ccc}3&.0&-3\\-4&2&3\\-1&-1&3\end{array}\right)$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&0&-3\\-4&2&3\\-1&-1&3\end{array}\right)^T$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

c. $A^{-1}$

$A^{-1}=\frac{1}{3} \left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

5. As $x=\frac{d}{A}$ or $x=A^{-1}d$ , the solution of x is:

$x=\frac{1}{3}\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}(3*1730)+(-4*690)+(-1*1380)\\(0*1730)+(2*690)+(-1*1380)\\(-3*1730)+(3*690)+(3*1380)\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}1050\\0\\1020)\end{array}\right)$

$X=\left[\begin{array}{ccc}350\\0\\340\end{array}\right]$

Therefore:

a= 350 Transistors

b=0 Resistors

c=340 Computer chips

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=-24%5Cleq%203x-9" id="TexFormula1" title="-24\leq 3x-9" alt="-24\leq 3x-9" align="absmiddle" c

dybincka [34]

If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:

-24 ≤ 3x - 9 First add 9 on both sides

-24 + 9 ≤ 3x - 9 + 9

-15 ≤ 3x Then divide 3 on both sides to get "x" by itself

$\frac{-15}{3} \leq \frac{3x}{3}$

-5 ≤ x [or x ≥ -5 if you prefer "x" to be on the left side]

8 0

3 years ago

Read 2 more answers