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liq [111]
3 years ago
10

The telephone company offers two billing plans for local calls. Plan 1 charges $36 per month for unlimited calls and Plan 2 char

ges $13 per month plus $0.05 per
call

a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2

b. Explain the meaning of the answer to part a.

a. Let x represent the number of monthly calls. The answer is

(Type an inequality.)
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

After 460 calls plan 1 is more economical than plan 2

Step-by-step explanation:

Plan 1: 36x + 0y

Plan 2: 13x + 0.05y

36x < 13x + 0.05y

36x - 13x < 0.05y

23x < 0.05y

23/0.05x < y

460x < y

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There is a pair of parallel sides in the following shape. 4 4 6 What is the area of the shape?​
Helen [10]
<h3>Answer:  20</h3>

============================================================

Explanation:

It might help to rotate the figure so the parallel sides are horizontal. This is optional.

The parallel bases are b_1 = 6 and b_2 = 4 in either order.

The height is h = 4 which is always perpendicular to both bases.

Plug these values into the trapezoid area formula.

A = \frac{h(b_1 + b_2)}{2}\\\\A = \frac{4(6+4)}{2}\\\\A = \frac{4(10)}{2}\\\\A = \frac{40}{2}\\\\A = 20\\\\

The area of the trapezoid is 20 square units.

-----------

Another pathway is to break the trapezoid into a rectangle up top and a triangle down below.

The rectangle is 4 by 4 with area 4*4 = 16

The triangle has a base of 6-4 = 2 and height of 4, so its area is base*height/2 = 2*4/2 = 8/2 = 4

Overall the total area is rectangle+triangle = 16+4 = 20 square units.

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2 years ago
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