All categories

3 years ago

A cell phone company charges $120 for the phone, and then $35 a month for phone service. Another cell phone company charges $55

a month for phone service with a free phone. After how many months will the phone services cost the same?

Mathematics

1 answer:

Olin [163]3 years ago

3 0

$\text{Hello there!}\\\\\text{Turn the question into equations:}\\\\y=35x+120\\\\y=55x\\\\\text{Combine the equations and solve:}\\\\35x+120=55x\\\\\text{Subtract 55 from both sides}\\\\-20x+120=0\\\\\text{Subtract 120 from both sides}\\\\-20x=-120\\\\\text{Divide both sides by -20}\\\\x=6\\\\\boxed{\text{They will cost the same after 6 months}}}$

You might be interested in

Identify which of the following statement(s) is always true?

julia-pushkina [17]

Answer:

Statement 3

Step-by-step explanation:

Statement 1: For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

$\sqrt{n}=\sqrt{25}=5$

Since 5 is rational number, this statement is false.

Statement 2: If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

$\sqrt{n}=\sqrt{8}=2\sqrt{2}$

Since $2\sqrt{2}$ is irrational number, this statement is false.

Statement 3: If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

8 0

3 years ago

A-4 = -5* (5 Points) -9 O 20 O-1 -5/4

weeeeeb [17]

It’s -1. Hope it hels

3 0

2 years ago

If the the variable very differently find the missing value

hichkok12 [17]

I never was good at those XD

8 0

3 years ago

Read 2 more answers

An ice cream cone has a diameter of 4.2 cm and a height of 11.5 cm. What is the volume of the cone? A. 18.6 cm³ B. 53.1 cm³ C. 2

777dan777 [17]

Answer:

B. 53.1 cm³

Explanation:

$\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h \ \ \ \ (r \ is \ radius, \ h \ is \ height)$

Here Given:

height: 11.5 cm

diameter: 4.2 cm

radius: d/2 = 4.2/2 = 2.1

Volume:

$\sf \cdot \ \dfrac{1}{3} \pi r^2h$

$\sf \cdot \ \dfrac{1}{3} (3.14) (2.1)^2(11.5)$

$\sf \cdot \ 53.11 \ cm^3$ ≈ $\sf 53.1 \ (rounded \ to \ nearest \ tenth)$

6 0

2 years ago

Page No 9s is it possible to have a triangle with following sides? 4.cm, 5cm, 6cm

KIM [24]

Answer:

yes it's possible

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. ... This sum must be greater than the length of the longest side.

6 0

2 years ago