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kiruha [24]
3 years ago
12

On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is

16 feet. Express this ratio relationship as two different rates. Make sure to label each rate with the appropriate rate unit.
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

  • 3/8 in/ft
  • 1/32 . . . (pure number, no units)

Step-by-step explanation:

The ratio can be expressed directly as ...

... (6 in)/(16 ft) = 3/8 in/ft

This can be read or used in different ways:

  • 3/8 in = 1 ft
  • 3 in = 8 ft

Or, the units can be made compatible and the ratio expressed as a pure number.

... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32

This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.

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Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5
givi [52]
<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]                            X=\left[\begin{array}{c}x\\y\end{array}\right]

and          B= \left[\begin{array}{c}11\\5\end{array}\right]

∴AX=B

adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]

A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6

∴A^{-1} =\frac{adj A}{|A|}

So,A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}

A^{-1} ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}

X =A^{-1}\times B

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c}  {{\frac{1}{6} }}&{\frac{5}{6}}\ \\  {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]

⇒\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c}  {6}\\  {11} \end{array}\right]}

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0
2 years ago
Inverse cosine of square root of 3 over 2? cos-1(square root of 3/2)
Amiraneli [1.4K]
Cos(x°) = (√3)/2
cos⁻¹[(√3)/2] = x°, that means x° = 30°
8 0
3 years ago
You are selling t-shirt for $15 each as a fundraiser. You sold 17 less today then you did yesterday. Altogether you have raised
jeyben [28]

Answer: 28

Step-by-step explanation:?

4 0
2 years ago
What is equivalent to 5(x + 12)<br><br> A x +12<br> B 2x - 60<br> C 5x + 60<br> D 2x - 60
Alex73 [517]

<u>Answer:</u>

\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}

<u>Step-by-step explanation:</u>

Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .

So,

\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}

<h3><u>Hence</u><u> </u><u>opt</u><u>ion</u><u> </u><u>C </u><u>is</u><u> correct</u><u>.</u></h3>

4 0
2 years ago
If f(x) = x-6 and g(x) = x^1/2 , find g(x) x f(x) .
shusha [124]

Answer:

x^3/2 - 6x^1/2

Step-by-step explanation:

f(x) = x - 6

g(x) = x^1/2

g(x) * f(x) = x^1/2(x - 6)

g(x) * f(x) = x^3/2 - 6x^1/2

5 0
3 years ago
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