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

the width of a rectangle is 4 less than half the length. if l represents the length, wich equation could be used to find the wid

torisob [31]

$w=\dfrac{1}{2}l-4$

7 0

3 years ago

What is it !, help !

Gala2k [10]

Answer:

an isosceles triangle

Step-by-step explanation:

it has two equal sides so this is isosceles triangle

7 0

3 years ago

16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the a

timofeeve [1]

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

6 0

2 years ago

Find f(6) if f(x)=x^2 divided by 3x+x

Alinara [238K]

So, if I'm understanding you correctly, f(x)=x^2 divided by 3x+x, or
f(x) = (x^2)/(3x+x)
f(6) --> plug the 6 in to all values of x --> f(6) = (6^2)/(3×6 + 6) = 36/(18+6)
= 36/24 --> both are divisible by 12, so 36/12=3 and 24/12=2, now we have the reduced (simplified) answer:
f(6) = 3/2, or 1 1/2, or 1.5

3 0

3 years ago

I will give you 100 points HELp

Naddika [18.5K]

Answer:

CD ≈ 26.0 cm

Step-by-step explanation:

using the sine ratio in right triangle ABD

sin35° = $\frac{opposite}{hypotenuse}$ = $\frac{AB}{BD}$ = $\frac{12}{BD}$ ( multiply both sides by BD )