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zhannawk [14.2K]
3 years ago
5

Victoria moved into a new apartment and called to install her cable. They told her they charge $45 to install the cable box and

$60 for each month of service. Which equation represents how much victoria will owe after x months?
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

y=45+60x

Step-by-step explanation:

Step one:

given data

The  charge is $45 to install the cable box and $60 for each month of service

Required

The linear expression for the situation.

Step two:

let the number of months be x and let the total charges be y

Hence the expression for the total charges is

y=45+60x

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A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per
svetoff [14.1K]

Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

Van = 12 miles per gallon

Sedan = 36 miles per gallon

Distance = 2500 miles

Gas = $2.50 per gallon

First, we need to determine the number of gallons that'll be used by both vehicles

This  is done by dividing total distance by number of miles per gallon

Van = \frac{2500}{12} \ gallon

Sedan = \frac{2500}{36}\ gallon

Next, is to multiply this by the cost of gas per gallon;

This gives the total spendable amount on both vehicles

Van = \frac{2500}{12} * \$2.50

Van = \frac{\$6250}{12}

Van = \$520.833

Sedan = \frac{2500}{36}* \$2.50

Sedan = \frac{\$6250}{36}

Sedan = \$173.611

Next is to get the difference between these amounts

Difference = \$520.833 - \$173.611

Difference = \$347.222

Multiply by 100 to convert to cents

Difference = 347.222 * 100 cents

Difference = 34722.2 \ cents

Difference = 34722\ cents (Approximated)

Hence;

<em>The family will pay 34722 cents more if they take the van</em>

8 0
3 years ago
X + y = 0<br> x - y = 4 <br> Then what does x =
mylen [45]
X - (-x) = 4
2x = 4

x=2
8 0
3 years ago
I need help please !
Harman [31]
The angle CFE is 87°
4 0
3 years ago
I don't know what this means someone help?????
liubo4ka [24]

Answer:

2

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
The average rate of change of g(x) between x = 4 and x = 7 is 5/6 . Which statement must be true?
Blizzard [7]

Answer:

\frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}  would be the correct statement.

Step-by-step explanation:

As we know that

Average rate of change = Change in output / Change in input    

                                        =  Δy  / Δx

                                        =\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

                                        =\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}

                                         =\frac{g(7)-g(4)}{7-4}                    

As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.

so

\:Average\:rate\:of\:change\:=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}

                                  \frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}

Therefore, \frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}  would be the correct statement.                      

6 0
3 years ago
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