1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sertanlavr [38]
3 years ago
5

Customers of a phone company can choose between two service plans for long distance calls. The first plan has no monthly fee but

charges $ 0.14 for each minute of calls. The second plan has a $ 22 monthly fee and charges an additional $ 0.10 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0
Hey there!

We'll define x as the amount of minutes for a call.

The monthly fee is the initial value, while the cost per call is te constant. The cost per call is the coefficient of x because you're multiplying the cost/call times the number of calls.

Now, we'll look at the first company, that has no monthly fee. However, it has 14 cents/minute, so we have:

y = .14x

For the second one, we have a 22 dollar upfront fee, along with 10 cents per call. In this problem, the 10 cents is the cost per call, or the coefficient of x.

We have:

y = 22 + .10x

Now, to see when the minutes of calls will equal to when the costs are equal, we set both equations equal to each other because we want to see the value of x that works on the left and right side of the equation:

22 + .10x = .14x

Subtract .10x from both sides:

22 = .04x

Divide both sides by .04:

x = 550

If we plug it back in, we get:

22 + .10(550) = .14(550)

77 = 77

Therefore, you would need 550 calls.

Hope this helps!


You might be interested in
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%20%3D%2014%5C%5C%202x%20%2B%204y%20%3D%2018" id="TexFormula1" title="x + y = 1
alexgriva [62]

Answer:

x = 19, y = -5

Step-by-step explanation:

x + y = 14  => x= 14-y

2x + 4y = 18  => 2(x+2y)=18  => x+2y=9

x+2y=9 => (14 - y) + 2y = 9

14 + y = 9  => y = -5

x + (-5) = 14  => x=19

5 0
2 years ago
help me find the volume and area of this figure step by step pleasefyi the answer key my teacher gave me says that the surface a
alisha [4.7K]

The volume of the shape

We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.

External radius = internal radius + thickness

\begin{gathered} \text{External radius = 4ft + 1ft } \\ =\text{  5ft} \end{gathered}

Internal radius = 4ft (given)

Recall that the volume(V) of a full cylinder is:

V\text{ = }\pi r^2h

Since the cylinder is cut into two, the volume(V) is:

V\text{ = }\frac{\pi r^2h}{2}

height (h) = 12ft (given)

The volume of the shape:

\begin{gathered} =\text{ Volume of cylinder with a radius of 5ft - Volume of cylinder with a radius of 4ft} \\ =\text{ }\frac{\pi\text{ }\times5^2\text{ }\times\text{ 12}}{2}\text{ - }\frac{\pi\text{ }\times4^2\text{ }\times\text{ 12}}{2} \\ =\text{ 471.239 - }301.593 \\ =169.65ft^3 \end{gathered}

5 0
11 months ago
HELP PLEASE!!!!!!?!?!
Bumek [7]
I’m pretty sure the answer is winter solstice
5 0
2 years ago
Express 7.4 x 10² in standard form.<br><br><br>MATH​
mario62 [17]

Answer:

7.4 x 10²

7.4 *100

740

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
True or false? Thanks!!
statuscvo [17]
False. 6 cannot have two y’s
4 0
3 years ago
Other questions:
  • Computer hardware is best described as
    11·1 answer
  • How to check your work on a division problem.
    13·2 answers
  • The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing for
    6·1 answer
  • Can someone help me with this question please
    12·2 answers
  • Josh makes $6916.67 per month. It is recommended to keep your housing budget between 25% 30% of your monthly income, how much ca
    10·1 answer
  • The hypotenuse of a right triangle is 4 feet
    5·1 answer
  • Can someone help I have to be done by tomorrow morning plz order them from least to greatest plz
    11·1 answer
  • Please what is the answer
    15·2 answers
  • Taylor buys 2 gallons of milk for $5.50. What is the cost per gallon
    9·1 answer
  • Hellpppppppppppppppppppppppppppppppppppppppp
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!