The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function cx x ( ) = + 90 12 represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?

Answers

Answer 1

Answer:

Two additional premium channels were ordered

Step-by-step explanation:

Linear Modeling

It consists of describing a real situation with a mathematical function that corresponds to a straight line.

An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.

The linear model for the charges of the company is:

c(x) = 90 + 12x

Where x is the number of additional premium channels.

Knowing that one month the charge was $114, we can find x:

114 = 90 + 12x

Subtracting 90:

114 - 90 = 12x =24

Dividing by 12:

x = 24/12

x = 2

Two additional premium channels were ordered


Related Questions

Work out the perimeter of a rectangle with length 8.5cm and width 0.2cm.

Answers

Answer: 17.4 cm

Step-by-step explanation: All you have to do is add all of the sides together.

So 8.5+8.5+0.2+0.2

=17+0.4

=17.4 cm

Answer:

17.4 cm

Step-by-step explanation:

A rectangle has two sets of parallel, equal sides. So that means two of the sides are equal to 8.5cm and the other two sides are equal to 0.2cm. When you put that in an equation:

8.5 + 8.5 + 0.2 + 0.2 = 17.4

Hope this helps :)

which of the number 285, 627, 5490, 7290, 7295, 15780, 43695 are divisible by 5 but not 3

Answers

Answer:

Step-by-step explanation:

They all end in 0 or 5 except 627, so all but 627 are divisible by 5.

The following are divisible by 3

285

627 is divisible by 3 (but not 5)

5490 is divisible by 3

7290 is divisible by 3

15780

43695

===============

So your answer is

7295

I think that's the only one divisible by 5 but not 3.

===============

There's a quick way to divide by 3. Just add the digits. If the sum is divisible by 3 then the whole number is divisible by 3

For example 285

2 + 8 + 5 = 15.

15 is divisible by 3 so 285 is divisible by 3.

==================

7295 = 7 + 2 + 9 +5.  Anything adding up to 9 you can cast out.

7 + 2 = 9 Cast it out

9 = 9       Cast it out

5  is not divisible by 3, so 7295 is not divisible by 3

The tail of a kite is 1.5 feet plus twice the length of the kite. Together, the kite and tail are 15.5 ft long. Find the length of the tail.
What is the length of the kite?
7 ft
10 8/15 ft
5 2/3 ft
4 2/3 ft

Answers

Answer:

c i think your answer is c

Step-by-step explanation:

Solve
2x- 4 = -3 +3

Answers

Answer:

x=2

Step-by-step explanation:

I need help with this question right now please and thank you!

Answers

|10 7/9|,|-9 9/8|, |-10 4/9|, |-10 5/9|, |-10 8/9|

Which of the following can be used to represent 2x5 using repeated addition? Select all that apply.

5+5+5+5+5
5+5
2+2+2 + 2 + 2
2+2

Answers

Answer:

5+5

Step-by-step explanation:

5+5 and 2+2+2+2+2

two fives equal ten and five twos equal ten.

-30<x/-4 answer must be simplified ​

Answers

Answer:

x<120

Step-by-step explanation:

-30<x/-4

In order to simplify this, we must isolate the x value by multiplying both sides by -4

Since we are dealing with inequalities and we are multiplying by a negative number, we have to switch the sign (<,>)

-30(-4)>x

x<120

Gavin has 50 tokens in KG use the weather roller coaster three times every hour. Gibson has 12 tokens And fines two more tokens on the ground each hour. How long until they have the same amount number of tokens

Answers

Answer:

They have the same amount of tokens after t = 7.6 hours

Step-by-step explanation:

Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour. So, the number of token he losses after t hours is 3 token per hour × t hours = 3t. Thus, the number of tokens left after t hours is T = 50 - 3t

Since Gibson initially has 12 tokens and finds two tokens on the ground per hour, he gains 2 tokens per hour. So, the number of token he gains after t hours is 2 token per hour × t hours = 2t. Thus, the number of tokens he has after t hours is T' = 12 + 2t

To calculate the time t when they will have the same tokens, T must be equal to T', that is T = T'.

So, 50 - 3t = 12 + 2t

collecting like terms, we have

50 - 12 = 3t + 2t

38 = 5t

dividing both sides by 5, we have

t = 38/5

t = 7.6 hours

So, they have the same amount of tokens after t = 7.6 hours


Marcus can read 126 pages in one hour. How many pages can he read in 15 minutes?

Answers

Answer:

31.5 or 32

Step-by-step explanation:

Divide 126 by 4

31.5 but you can round up to 32
All you do is 126 divided by 4

please help me thanks

Answers

Answer:

It is 61 degress an acute angle.

Step-by-step explanation:

It takes 115 pounds of seed to completely plant a 12-acre field. How many pounds of seed are needed per acre?

Answers

Answer: 9.5

Step-by-step explanation:

You need to do 115/12 and the answer is 9.5 so if that is not an answer it will be10 rounded up

Can somebody answer this

Answers

The answer is 2/3 = b
I used a calculator I got b= -6

What is the value of the expression below when c=5 and d=4?

Answers

Answer:

138.....................

Answer:

888

Step-by-step explanation:

C equals 5 so u do 6 times 5. Then you have to do that by the exponent of 2 which equals 900. Because d equals 4 u do 5 times 4 which equals 20. So 900 minus 20 equals 880 plus 8 equals 888

Enter the number in standard notation.
7.037 x 10^9 =

Answers

It should be 7037000000

Answer:

7,037,000,000

Step-by-step explanation:

Move the decimal to the right 9 times

70.37                1

703.7                2

7,037.0              3

70,370.0            4

703,700.0          5

7,037,000.0       6

70,370,000.0     7

703,700,000.0   8

7,037,000,000    9

Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling

Answers

Answer:

this copy and paste is to hard to read making it impossible to solve sorry.

Step-by-step explanation:

The value of the expression is 256.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is  $x^{6} + (y^{2} \div z^3)\cdot w^3$

⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]

Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,

⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]

⇒ [tex]64+(\frac{81}{27} )(64)[/tex]

⇒ [tex]64+(3)(64)[/tex]

⇒ [tex]64+192[/tex]

⇒ [tex]256[/tex]

Hence we can conclude that the value of the expression is 256.

Learn more about simplification of an expression here

https://brainly.com/question/13730519

#SPJ3

The graph shows the cube root parent function.

Answers

Answer: C

Step-by-step explanation:

The function is always increasing

The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.

What is graph?

" The graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

Given graph of the  cube root parent function

For function [tex]y= \sqrt[3]{x}[/tex]

x = 0 ⇒ y = 0

x = 1 ⇒ y = 1

x = 8  ⇒ y = 2

x = 27 ⇒ y = 3

Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.

Hence, Option(D) is the correct answer.

Learn more about graph here

https://brainly.com/question/20381610

#SPJ2

Someone please answer! 8th grade math question.

Answers

Answer: there is 3 terms

Step-by-step explanation: each term is separated by a sybol (addition, substation, multiplication, etc).

What is the equation of a line that has a slope of 2/5 and passes through the
point (-5,5)? *

Answers

Answer:

y = 2/5x + 7

Step-by-step explanation:

substitute 2/5 in for m and (-5,5) in for (x,y) respectively to find the y intercept

y=mx+b

5 = 2/5(-5) + b

5 = -2 + b

add 2 to both sides to solve for b (y intercept)

b = 7

therefore the equation for the line will be...

y = 2/5x + 7

I’m kinda confused of where I out the yes

Answers

Answer:

put the yes in the second box, fourth box, and fifth box.

Step-by-step explanation:

trust me, your welcome

amy jogs 1/3 of a mile in 1/15 of an hour while john takes 1/30 of an hour to jog 1/5 of a mile if they continued at this who would jog the farther in one hour and by how much

Answers

Answer:

John would jog 1 more mile than any

Step-by-step explanation:

If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour

Thanks guys for the help! heres another question

Answers

Answer:

Step-by-step explanation:

Putting values in the equation

1/3 / 1/2 = 0.166

Answer:

lol i already answered this its 2/3

Step-by-step explanation:

im not typing it again u can look at ur other question tho i put it there lol

how to find the y-intercept from a table AND from a graph.

Answers

Answer:

When Finding the Y-Intercept from a Graph and Table, you are searching for the point of intersection between the equation and the y-axis. When finding the Y-Intercept from a Graph, you should find where the line from the equation crosses the y-axis. The point where the equation crosses the y-axis is the Y-Intercept.

Step-by-step explanation:

Need Help ASAP
Formula 1 can be written alternatively as formula 2. Use algebra to show your steps how formula 1 can be manipulated to create formula 2.


Formula 1:

[tex]f(n)=\left\\ ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}\,}[/tex]


Formula 2:

[tex]f(n) = 440 (2)^{\frac{n-49}{12} }[/tex]

Answers

Answer:

Steps are shown

Step-by-step explanation:

Exponent Rules

We need to recall this fundamental rule for exponents:

[tex]\displaystyle \sqrt[n]{a^m}=a^{m/n}[/tex]

We are given the expression:

[tex]f(n)=\left ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}[/tex]

We'll use algebra and the above rule to manipulate the expression.

First, get rid of the unit Hz and move the coefficient 440 to the left:

[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}[/tex]

Now we convert the radical into an exponent form:

[tex]\displaystyle \left ({\sqrt[{12}]{2}}\,\right)^{n-49}=(2)^{\frac{n-49}{12}}[/tex]

Substitute:

[tex]f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}=440~(2)^{\frac{n-49}{12}}[/tex]

This is the very same expression in formula 2, as required.

A market sells blueberries for $3 per pint. The first day, the market sold a total of $35 worth of blueberries. The second day, the market sold a total of $47 worth of blueberries. And the third day, the market sold a total of $57 worth of blueberries. Estimate how many pints the market sold over the three days.

Answers

Answer:Around 50 pints

Step-by-step explanation:

$35=$40

$47=$50

$57=$60

$40+$50+$60=$150/3=50

NEED HELP ASAP!!!
Which function does this graph represent?

A. F(x)= 3 (x+1)^2+2
B. F(x)= -3 (x+1)^2+2
C. F(x)= -3 (x+1)^2+2
D. F(x)= 3 (x-1)^2+2

Answers

the answer is B f(x)= -3(x+1)^2+2

Write the equation of the line with a
slope of -2 and passes through (4, -1).

Answers

Answer:

Step-by-step explanation:

y=mx+b

y= -2x + 3[tex]\frac{1}{2}[/tex]

hope this helped :)

How do I solve this equation?

Answers

Answer:

X = 4   X = -6

Step-by-step explanation:

X + 1 = 5                                          X + 1 = -5

X = 5 - 1                                          X = -5 -1

X = 4                                               X = -6

Answer:

Step-by-step explanation:

What absolute values of x will fit.

l4+1l=5

l -6+1l=5  

i need this asap !
write the equation of a line perpendicular to y=-2x+8 that passes through the point (-4,1)

Answers

Answer:

y = 1/2x + 3.

Step-by-step explanation:

y = -2x + 8

Gradient = -2

Gradient of the line passing through point (-4,1)

is given as 1/2. i.e it is perpendicular to y = -2x + 8

Its equation is given as:

y - y1 = m(x - x1)

y - 1 = 1/2(x -(-4))

y - 1 = 1/2(x + 4)

y - 1 = 1/2x + 2

y = 1/2x + 3.

Да се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см​

Answers

Answer:

се намери обемът на правилна четириъгълна призма с лице на околната повърхнина 1600см² и обиколка на основата 12 см

all poets are loners. All loners are taxi drivers. therefore, all poets are taxi drivers

is this valid or invalid?

Answers

Answer:valid

Step-by-step explanation:

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