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4 years ago

A van travels 180 miles on 12 gallons of gas. How many gallons will it need to travel 285 miles?

Mathematics

2 answers:

dsp734 years ago

5 0

Answer:

19 gallons

Step-by-step explanation:

if a van travels 180 miles / 12 gallons, it needs one gallon for every 15 miles.

285 miles / 15 = 19 gallons

The van will need 19 gallons to travel 285 miles.

Hope this helps!

Crazy boy [7]4 years ago

3 0

if a van travels 180 miles / 12 gallons, it travels 15 miles / gallon (simply divide 180 / 12)

285 miles / 15 = 19 gallons

The van will need 19 gallons to travel 285 miles.

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C = .25t +3.50 in 'C' dollars for 't' minutes. How much does it cost to rent the canoe for 1 hour?

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Answer and Step-by-step explanation:

We know that t is in minutes, and 1 hours is equal to 60 minutes, so we plug in 60 for t.

C = 0.25(60) + 3.50

C = 15 + 3.50

C = 18.50

The cost to rent the canoe is $18.50.

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Brainliest if corerct

AysviL [449]

Step-by-step explanation:

$2x + 2 = 3x - 52$

$2 + 52 = 3x - 2x$

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3 years ago

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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

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3 years ago

Help asap! Please! Much appreciated!

stiv31 [10]

Area of the parallelogram = 20 x 16 = 320
Area of the triangle on top = 1/2 x 20 x 8 = 80
Total = 320 + 80 = 400 square inches

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3 years ago

Why might you want to round to the nearest hundred rather than the nearest ten

Luba_88 [7]

To obtain a more accurate answer! :)

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3 years ago

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