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2 years ago

PLEASE HELP Recall that variables represent changing values. In this unit, you will work with equations

Mathematics

1 answer:

pogonyaev2 years ago

4 0

Answer:

Jamarion can run 4 miles in 30 minutes

What is the speed in miles per hour?

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Mrs Rivas bought a can of paint he used 3/8 of paint and 1/4 he also used some for a birdhouse and had 1/8 of paint left how muc

Degger [83]

Answer:

The amount of paint used in the birdhouse = (1/4) of paint

Step-by-step explanation:

The amount of paint used in first go = 3/8

The amount of pain used in second go = 1/4

The amount of paint used in bird house = k

The amount paint left = 1/8

Now, according to the question:

Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint

⇒ $\frac{3}{8} + \frac{1}{4} + k + \frac{1}{8} = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8} = \frac{8-6}{8} = \frac{2}{8} = \frac{1}{4} \\\implies k = \frac{1}{4}$

or, The amount of paint used in the birdhouse = (1/4)

5 0

3 years ago

Please help I will give 10 points answer both questions

seropon [69]

Question 4:
18(A)+7(S)+10(G)=35 lollipops
35/10=3.5
35/18=1.99(repeating)
35/7=5

I hope that helps in some way.

5 0

3 years ago

What's the absolute value of 9.8 and of - 10/3

alekssr [168]

The absolute value of 9.8 is 9.8, and the absolute value of - 10/3 is 10/3
The Absolute value of a number is always positive.

3 0

3 years ago

Read 2 more answers

Need help quick Picture provided proof problem

Doss [256]

Uhhh i dont know bsjsiw

7 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

2 years ago