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3 years ago

Find the maximum value of C=3x+2y

Mathematics

1 answer:

Pani-rosa [81]3 years ago

3 0

Answer:

$x = \frac{c - 2y}{3}$

Step-by-step explanation:

$1. \: c - 2y = 3x \\ 2. \: \frac{c - 2y}{3} = x$

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Seven-eighths equals 0.875 and is a(n) ___.

kirza4 [7]

Answer:

negative number

Step-by-step explanation:

Numerator is 125 as dividing makes 875/1000

Numerator is 0.875 we can divide again by 8.75/10

we find that 0.875 = 875/1000 is equivalent to 7/8

7 0

3 years ago

Yes its math y=7x+6 that is one of the questions

8_murik_8 [283]

Answer:

See explanation below.

Step-by-step explanation:

The equation is:

y = 7x + 6

This is the equation of a line in slope intercept form. The general form, where m is the slope and b is the y intercept is:

y = mx + b

In this case, with the equation:

y = 7x + 6

m is 7 and the y intercept is 6.

The y intercept means the point when x = 0:

(0, 6) is the y intercept point on the graph.

Hope this Helps! Have an Awesome Day!! (-:

8 0

3 years ago

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours

uysha [10]

Answer:

$\$(990-t)$

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

$t+y=90$

$y=90-t$ -----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

$z=10t+11y$ ----> equation B

substitute equation A in equation B

$z=10t+11(90-t)$

$z=10t+990-11t$

$z=990-t$

therefore

The expression for the combined total dollar amount is $(990-t)

3 0

3 years ago

Find x. the answer can be in a integer or it could be in a decimal it doesn’t really matter.

Svetllana [295]

Answer: 42

Step-by-step explanation: Subtract 81 from 123 ;) your welcome

8 0

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

3 years ago