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tigry1 [53]
4 years ago
12

Ahmet rents a piano for $35 per month. He earns $25 per hour giving piano lessons to students. He wants to know

Mathematics
1 answer:
Vinvika [58]4 years ago
3 0

Answer:

25h-35=440

440+35=25h

475=25h

475÷25=h

h=19

19 hours

It will take 19 hours of lessons.

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In quadrilateral DBCA, name the angles which are consecutive with angle D.
lisov135 [29]

Answer: The consecutive angles with angle D are B and A.

Explanation:

It is given that DBCA is a quadrilateral. Since it is a quadrilateral it means the have 4 vertices and 4 angles D, B,C,A.

The angles are formed in the order of the figure name. If the quadrilateral name is DBCA, So the order of the angles are D,B,C,A. It means the angle immediate after D is B, the angle immediate after B is C, the angle immediate after C is A and the angle immediate after A is D.

If the quadrilateral name is DBCA it means the sides are DB, BC, CA and AD as shown in the figure.

Consecutive angles of D means the angle immediate before and after the angle D.

In the figure there are some types of quadrilateral and from the figure we can easily noticed that the consecutive angles with angle D are B and A.

3 0
4 years ago
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Help!! What is the point in the feasible region maximizes the objection function?
svlad2 [7]

First, find the vertices of the shaded region. You can do this my graphing or by solving a system of equations for each pair of functions. <em>I am going to find them by graphing.</em>

x ≥ 0 and y ≥ 0 place the shaded region in the first quadrant with a vertex at (0, 0)

now graph y ≤ 3.  a vertex is at (0, 3)

now graph y < -2x + 5. a vertex is at (1, 3). the other vertex is the x-intercept (when y = 0).

                  0 = -2x + 5

                  -5 = -2x

                   \frac{5}{2} = x     So, the vertex is  (\frac{5}{2} , 0)

Next, input the coordinates of the vertices into the objective function.

C = -6x + 5y

(0, 0): C = -6(0) + 5(0)

             =    0    +   0

             =          0

(0, 3): C = -6(0) + 5(3)

             =    0    +   15

             =          15

(1, 3): C = -6(1) + 5(3)

             =  -6  +  15

             =       9

(\frac{5}{2} , 0): C = -6(\frac{5}{2}[/tex]) + 5(2)

             =  -15  +  10

             =       -5

The maximum is C = 15 which occurs at vertex (0, 3)

Answer: A


                 


6 0
3 years ago
What fraction is equal to the decimal 0.32
dangina [55]
8/25 is the answer. Hope this helps.
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3 years ago
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What measure of arc RT?
jeka57 [31]

Answer:

arc RT = 156 degrees

Step-by-step explanation:

arc RT = 2(180 - 102)

arc RT = 2(78)

arc RT = 156 degrees

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Answer:

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