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dem82 [27]
3 years ago
5

Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95

per month. Marshals provider has free installation and charges $57.95 per month. After how many months will Franco and Marsha have paid the same amount for high-speed Internet service?
Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

4 months

Step-by-step explanation:

Franco's provider = 60 + 42.95x

Marshal's provider = 57.95x

Where,

x = number of months

Equate both charges

Franco's provider = Marshal's provider

60 + 42.95x = 57.95x

Subtract 42.95x From both sides

60 + 42.95x - 42.95x = 57.95x - 42.95x

60 = 15x

Divide both sides by 15

60 / 15 = 15x / 15

4 = x

x = 4 Months

Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months

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Hallo! Her er svaret ditt på dette spørsmålet! ☺

Answer: If you are solving by Substitution, your answer will be...

Point form : (-6,4)

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Step-by-step explanation: Solve for the first variable in one of the euations, then substitute the result into the other equation.

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What is the direct variation equation if y varies directly with x and y = -12 when x = 6?
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3 years ago
Which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related?
KatRina [158]

Answer:

They are perpendicular

Step-by-step explanation:

To solve this problem .

we will convert the equations in slope intercept form.

Slope intercept  form of equation is y = mx+c

where m is slope of line and c is y intercept.

________________________________

equation 1 is

2x+y = 4

=> y =4 - 2x or y = -2x + 4

comparing it with y = mx + c

m = -2  , c = 4

_________________________________________

equation 2 is y = one halfx + 4 ( one half is same as 1/2)

so equation is

y = x/2 +4

comparing it with y = mx + c

m = 1/2  , c = 4

_________________________________________

Now lets evaluate options

They are parallel.  wrong option

For lines to be parallel slope should be same.

But here slope are different -2 and 1/2 .

Thus lines are not parallel.

__________________________________________

They are perpendicular.  correct option

For lines to be perpendicular, product of slope should be equal to -1.

-2*1/2 = -1

we can see that product of slope should be equal to -1 .

Thus lines are  perpendicular

______________________________________

They are the same line.  wrong option

For lines to be same both slope and y intercept should  be same.

Y intercept is same but the slopes are different -2 and 1/2  .

Thus lines are not  the same line.

__________________________________________

They are not related.       wrong option

As we have found that the lines are perpendicular .

So this option is intuitively wrong

4 0
3 years ago
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