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Bas_tet [7]
3 years ago
7

A copy center offers its customers two different pricing plans for black and white phototcopies of 8.5 in. pages. Customers can

either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of the two plans is the same
Mathematics
1 answer:
wariber [46]3 years ago
3 0
0.08x=7.50+0.05x
Subtract 0.05x from both sides.
0.03x=7.50
Divide both sides by 0.03.
X =250 pages
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Set A = 3, 4, 7<br> Set B = 4, 8, 9<br> What is the union of sets A and B?
Jobisdone [24]

Answer:

Step-by-step explanation:

A∩B = 4

7 0
3 years ago
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The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente
diamong [38]

The <em>matrix operation</em> is the <em>addition subtraction </em>and <em>multiplication </em>involving matrices.  The coordinates of the <em>image </em>can be represented as a matrix obtained from the coordinates of the <em>preimage </em>through matrix operations

The best correct option is<u> option D)</u>,<em> (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows</em>:

\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the <em>coordinates</em> of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The <em>coordinates </em>of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the  vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by <em>multiplying by</em> (-1)

Therefore, the required matrix operation is presented as follows:

\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]

Therefore, the <em>best correct</em> option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

3 0
3 years ago
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Mrrafil [7]

Answer:

50.05 cm^2

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Ok so first lets find the area of the rectangle before finding the attached triangle. You have to imagine a line separating this shape into a triangle and rectangle.

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The rectangle's size is 11.7-6.5 to get the base length, which is 5.2

The height is 5.5

So it's 5.2*5.5/2=14.3 cm^2

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5 0
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14540(squared by2) x 35=?
natka813 [3]
Your answer is 739,940,6000
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