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EastWind [94]
3 years ago
14

A machine stamps 360 metal parts in 15 minutes. Find the unit rate in parts per hour.

Mathematics
1 answer:
ladessa [460]3 years ago
4 0
In one hour there are 60 minutes. 60min/15min = 4

So all you have to do is multiply 360 * 4 which gives you

1140 parts per hour.
You might be interested in
State sales tax went from 5% to 5.5%. Calculate the absolute increase and the relative increase in sales tax.
valina [46]
Both are correct because .5 is ten percent of 5. And the increase is only a half of a percentage point.
3 0
3 years ago
Express $91.60 for 8 lb of coffee as a unit rate
shusha [124]
I believe your answer is $11.45 a pound, because you are taking the total (91.60) and you're going to divide that by 8. 

91.60/8=11.45

Hope this helps! 
4 0
3 years ago
A certain gas station requires a minimum of $5 to use a debit card. You plan on buying a soda and however many bags of cheetos r
vekshin1

Answer:

1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5

Step-by-step explanation:

So since you are only buying 1 soda and you are buying multiple bags of Cheetos so you are able to use you debit card and meet the requirement of at least $5, you can make the inequality:

1.20 + 1.40x ≥ 5, or $1.20 + $1.40x ≥ $5

where x is the number of bags of Cheetos.

6 0
2 years ago
The Burj Khalifa, a building in Dubai, United Arab Emirates, is about 828 meters tall. Brody is making a scale model of this bui
Sonja [21]
The correct answer for this question is this one: "Roughly 1.7 meters."

The height is 828 meters tall. The scale model is 1 meter is equal to 500 meters.

To the nearest tenth, Brody's model of the Burj Khalifa should be
= 828 / 500
= 1.656 meter
Roughly 1.7 meters.


Hope this helps answer your question and have a nice day ahead.
3 0
2 years ago
Orthogonally diagonalize the​ matrix, giving an orthogonal matrix P and a diagonal matrix D. To save​ time, the eigenvalues are
alexgriva [62]

Answer:

P=\left(\begin{array}{ccc}-\frac{2}{3}&-\frac{2}{3}&\frac{1}{3}\\\frac{1}{\sqrt{5}}&0&\frac{2}{\sqrt{5}}\\-\frac{4}{3\sqrt{5}}&\frac{\sqrt{5}}{3}&\frac{2}{3\sqrt{5}}\end{array}\right)

Step-by-step explanation:

It is a result that a matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.  According with the data you provided the matrix should be

A=\left(\begin{array}{ccc}-9&-4&2\\ -4&-9&2\\2&2&-6\\\end{array}\right)

We know that its eigenvalues are \lambda_{1}=-14, \lambda_{2}=-5, where \lambda_{2}=-5 has multiplicity two.

So if we calculate the corresponding eigenspaces for each eigenvalue we have

E_{\lambda_{1}=-14}=\langle(-2,-2,1)\rangle,E_{\lambda_{2}=-5}=\langle(1,0,2),(-1,1,0)\rangle..

With this in mind we can form the matrices P, D that diagonalizes the matrix A so.

P=\left(\begin{array}{ccc}-2&-2&1\\1&0&2\\-1&1&0\\\end{array}\right)

and

D=\left(\begin{array}{ccc}-14&0&0\\0&-5&0\\0&0&-5\\\end{array}\right)

Observe that the rows of P are the eigenvectors corresponding to the eigen values.

Now you only need to normalize each row of P dividing by its norm, as a row vector.

The matrix you have to obtain is the matrix shown below

3 0
3 years ago
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