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antiseptic1488 [7]
2 years ago
5

andrew has a cell phone plan that provides 300 free minutes each month fo a flat rate of $19 . for any minutes over 300, andrew

is charged 0.39 per minute
Mathematics
1 answer:
kow [346]2 years ago
4 0

The precise equation that represents the situation is as follows:

  • $19, x ≤ 300
  • x > 300,
  • f(x) = 19 + 0.39(x - 300)

<h3>How to represent an equation?</h3>

His cell phone plan provides  300 free minutes each month for a flat rate of $19.

let

x = number of minutes used

Therefore,

$19, x ≤ 300

For any minutes over 300, Andrew is charged 0.39 per minute.

Therefore,

if x > 300

f(x) = 19 + 0.39(x - 300)

learn more on equation here: brainly.com/question/18127606

#SPJ1

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a television program is 60 minutes long, and 20% of the time is taken up by commercials. How many minutes of commercials are the
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There would be 12 minutes of commercials
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Carly draws quadrilateral JKLM with vertices J(-3,3), K(3,3), L(2,-1),and M(-2, -1). What is the best way to classify the quadri
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Answer:

Trapezoid

Step-by-step explanation:

The points are shown in the attached graph.

<em>You can clearly see from the picture that it is a "Trapezoid".</em>

<em />

<em>Trapezoid</em><em> is basically a quadrilateral (4 sided-figure) that has 1/2 pair of parallel sides.</em>

<em>On the other hand, a </em><em>parallelogram</em><em> has 2 pair of parallel sides.</em>

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Thus, a parallelogram is a special type of trapezoid where there are 2 pair of parallel sides. But trapezoid need not be a parallelogram.

<em>The picture shows 1 pair of parallel sides, hence it is a </em><em>trapezoid.</em>

6 0
3 years ago
A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.
AnnyKZ [126]

Answer:

Paasche's Index=  168.63= 169

Step-by-step explanation:

<em><u>Products</u></em>

<em><u>Base-Period                                                    Current Period</u></em>

    Quantities    Mean Shipping                    Quantities    Mean Shipping

     (Year 1)         Cost per Unit ($)                  (Year 5)  Cost per Unit ($)

A         1,500         10.50                         4000                 15.90

B         5,000      16.25                            3000                 33.00

C         6,500        12.20                          8000                  18.40

D          2,500      20.00                         3000                   35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product               pn.qn                      po.qn

A                         15.90* 4000         10.50* 4000

                          = 63600                    =42000

B                       33.00*3000           16.25 * 3000  

                           = 99000                    = 48750

C                      18.40* 8000          12.20 *8000

                            =147200                 =97600

D                     35.50* 3000        20.00*3000  

<u>                           =</u><u>106500              60,000   </u><u>       </u>

<u>∑                          416300                  248350       </u>

<u />

Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100  =  1.676=1.68= 168.63= 169

<u />

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Answer:

Graph 1: Consistent Dependent

Graph 2: Consistent Independent

Graph 3: Consistent Dependent

Graph 4: Inconsistent

Step-by-step explanation:

Consistent means they have at least one solution.  So lines that intersect once or lines that intersect infinitely many times are both consistent systems.

If they are the system that has one solution they are considered independent.

If they are the system that has infinitely many solutions then are considered dependent.

Inconsistent means they won't intersect at all.

First graph shows the same line graphed onto itself.  That means they have infinitely many solutions and is therefore a consistent dependent system.

Second graph shows the lines intersecting once.  That means they have one solution and therefore is a consistent independent system.

Third graph shows the same description of graph one and is therefore a consistent dependent system.

The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution.  So this system is inconsistent.

7 0
3 years ago
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