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viktelen [127]
2 years ago
12

A phone company offers two monthly plans. Plan A costs $16

Mathematics
1 answer:
Trava [24]2 years ago
8 0
We can write two equations for this. x = each minute of calls

Plan A = .1x + 16
Plan B = .14x

Make the two equations equal each other, so we can find when they are the same.

.1x + 16 = .14x

Subtract .1x from both sides

16 = 0.04x

Divide by 0.04 to get x by itself

400 = x.

Earlier, we set x as each minute of calls. This means that after 400 calls, Plan A and Plan B will cost the same.

To find the cost, substitute 400 into both equations by themselves.

Plan A cost = .1x + 16
Plan A cost = .1(400) + 16
Plan A cost = 40 + 16
Plan A cost = $56

Plan B cost = .14x
Plan B cost = .14(400)
Plan B cost =  $56

Final answer: After 400 calls, Plan A and Plan B will both cost $56.
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Find the area of the regular polygon below. leave your answer in simplest radical form.
Licemer1 [7]

Answer:

384√3 in²

Step-by-step explanation:

Given in the question a regular 6 sided polygon

To find it's area you have to use the following formula

<h3>      1/2 x perimeter x apothem</h3>

<em>Perimeter = the sum of the lengths of all the sides </em>

<em>Suppose length of one side = x</em>

<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>

<em />

Since the polygon have 6 sides so

perimeter = 6x

<h3>x = 2(8√3)/√3</h3>

x = 2(8)

x = 16

perimeter = 6(16) = 96 in

plug values in the formula of area

<h3>1/2 x 96 x 8√3</h3>

384√3 in²

6 0
3 years ago
Read 2 more answers
Distributive property of 1/2(8x+2)
sdas [7]

Answer:

4x+1

Step-by-step explanation:

1/2 *(8x+2)=1/2*8x+1/2*2=4x+1

5 0
2 years ago
Graph the line with 3/4 slope<br> passing through the point (2,-2).
S_A_V [24]

Answer:

Step-by-step explanation

x1 = 2, y1 = -2 and m = 3/4

y - y1 = m(x - x1)

y - (-2) = 3/4(x - 2)

y + 2 = 3/4(x - 2)

Multiply each term by 4

4y + 8 = 3(x - 2)

4y + 8 = 3x - 6

4y = 3x - 6 - 8

4y = 3x - 14

5 0
3 years ago
Please answer both of these questions. :) Thank you!
son4ous [18]
Answers:
Wood Question: 860 millimeters
Heigh Question: 73 centimeters

Explanations:
Wood Question: You can get this result by doing 7.74/9 because you are dividing 7.74 meters into 9 pieces and you will get 0.86, AKA 86 centimeters. Then, you need to multiply that by 10 to convert it into millimeters and 86(10) is 860.

Height Question: First, you want to do 1.46/2 and you will get 0.73. 0.73 meters is equivalent to 73 centimeters, and since you know Jaxson is two times his sister's height, you know that you can leave it at that, therefore your final answer is 73 centimeters.
7 0
2 years ago
If 5 dozen roses can be purchased for $62.50, how much will 8 dozen cost?
lesya692 [45]

Source: Net

Let x represent the cost of a dozen roses. 5 dozen roses can be purchased for $62.50 . Consider the following equation. 5x = $62.50. Here the product and factor are known, thus divide by the factor on both sides of the equation.

5x   $62.50

--  =     --

5     $12.50

Now to find out the cost of 8 dozens multiply the value of x by 8.

8x=8 ($12.50) = $100

Answer would be $100.

5 0
2 years ago
Read 2 more answers
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