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vesna_86 [32]
3 years ago
10

a phone company offers two monthly charge, in Plan a, the customer pays a monthly fee of $40.10 and then an additional 4 cents p

er minute of use. In plan b, the Customer pays a monthly fee of $35 and then an additional 7 cents per minute of use. for what amounts of monthly phone use will plan a cost no more than Plan B
Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

Step-by-step explanation:

The two plans must be defined by the equation of the line y = mx + b, where

y = plan

m = slope or payment of additional cents per minute

x = time expressed in minutes

For Plan A, we have

y = 4x + 40.10 (Equation A)

While plan B is defined as

y = 7x + 35 (Equation B)

Plan A must be less than Plan B,

4x + 40.10 < 7x + 35

We put the “x” on the left side and the independent terms on the right side,

4x - 7x < 35 - 40.10

We add algebraically,

-3x < -5.10

We multiply the equation by -1 to eliminate the two “minus” signs, changing the inequality sign,

3x > 5.10

We isolate x,

x > 5.10 / 3

We solve, calculating the value of x,

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

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Vlada [557]
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6 0
3 years ago
Angles and polygons
Andre45 [30]

Answer:

∠1 = 66°

Step-by-step explanation:

∠1 + ∠3 = ∠4 (exterior angle theorem)

∠1 + 57° = 123°

∠1 = 66°

8 0
2 years ago
The perimeter of a rectangular rug is 40 ft. It's length is 12 ft. What is it's width?
Alexus [3.1K]

Answer:

<h2>The answer is 8 ft</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

perimeter = 40 ft

length = 12 ft

Substitute the values into the above formula and solve for the width

That's

40 = 2(12) + 2w

40 = 24 + 2w

2w = 40 - 24

2w = 16

Divide both sides by 2

We have the final answer as

<h3>8 ft</h3>

Hope this helps you

4 0
3 years ago
(Evaluate each logarithm. Use the change of base formula when necessary) helpppp y’all
Dmitry [639]

The value of \log _{6}(36) is 2.

Solution:

Given expression is \log _{6}(36).

<u>To evaluate the expression:</u>

\log _{6}(36)

36 can be written as 6².

       =\log _{6}\left(6^{2}\right)

Using log rule: \log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)

       =2 \log _{6}(6)

Using log rule: \log _{a}(a)=1 so that \log _{6}(6)=1

       = 2(1)

       = 2

\log _{6}(36)=2

Hence the value of \log _{6}(36) is 2.

5 0
2 years ago
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $
djverab [1.8K]

Answer:

commercial =  9

movie = 5

Step-by-step explanation:

Step one:

let the number of commercials be x and movies be y

so

40x+130y=1010-------------1

since there are a total of 14 commercials and movies combined

x+y=14--------------2

Hence the systems of equation is

40x+130y=1010------1

x+y=14-------------------2

Step two:

from equation 2

x=14-y

substui]te the value of x in  equation 1

40(14-y)+130y=1010

560-40y+130y=1010

collect like terms

130y-40y=1010-560

90y=450

divide both sides by 90

y=450/90

y=5

movies is 90

put y=5 in equation 2

x+5=14

x=14-5

x= 9

commercial is 9 in numbers

and movie is 5

7 0
2 years ago
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