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

48 = -6a, a =
pls help hfjdjf

Answers

Answer:

a=-8

Step-by-step explanation:

A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.

Find the volume.

Answers

I think it’s eight... right?

A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect

Answers

Answer:

A quadratic equation for the height of an object is written as:

h(t) = a*t^2 + b*t + c

We can derivate it with respect to the time to get the velocity:

v(t) = 2*a*t + b

We can derivate it with respect to the time to get the acceleration:

a(t) = 2*a

Then:

a = half of the acceleration. (the gravitational acceleration for problems like this)

b = initial vertical velocity.

c = initial height.

In our case we have:

h(t) = -16t^2 + 44t + 3.5

-16 is half of the acceleration, we know that the gravitational acceleration is:

g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.

44 is the initial vertical velocity of the ball  (44ft/s)

3.5 is the initial height. (3.5ft)

Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.

Answers

Answer:

Which statements can be used to justify the fact that two right angles are supplementary? Select two options.

*  A right angle measures 90°.

If two angles are complementary, the sum of the angles is 90°.

* If two angles are supplementary, the sum of the angles is 180°.

A complementary angle is one-half the measure of a supplementary angle.

A supplementary angle is twice the measure of a complementary angle.

Step-by-step explanation:

(A) and (C)

A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

Angles

An angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.

To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)

Find out more on Angles at: https://brainly.com/question/25770607

When FD bisects angle CFE does it create angle C and E or does it create angle CFD and angle EFD

Answers

Answer:

it create angle CFD and angle EFD

Step-by-step explanation:

i believe it create that because after the one triangle gets broken into 2, its saying the two smaller angles next to the f.

solve each system using elimination


8x+lly = 20 5x - 11y = -59​

Answers

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next

Answers

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

please help! i only got 9 minutes left!!

Answers

Answer:

D) -5/2

Step-by-step explanation:

(0, 5) (8, -15)

-15 - 5 = -20

8 - 0 = 8

-20/8 = -5/2

Which of the following is equivalent to logb sqrt 57/74

Answers

Answer:

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

Step-by-step explanation:

Given the expression

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]

Rewrite as

[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]

[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex]     ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]

Therefore,

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

I need help with this, could you just give me the answers? You don't need to show work

Answers

Answer:

9) B= 115 / C= 65 / D=135 / E= 115 / F=25

10) B= 110 / C= 70 / D=1120 / E=70 / F= 20

11) A= 68 / B= 112 / C= 68 / D=112 / E= 68

12) A= 64 / B=116 / C= 64 / E=64 / F=26

Step-by-step explanation:

9) B= 115 / C= 65 / D=135 / E= 115 / F=25

10) B= 110 / C= 70 / D=1120 / E=70 / F= 20

11) A= 68 / B= 112 / C= 68 / D=112 / E= 68

12) A= 64 / B=116 / C= 64 / E=64 / F=26

what is the value of this expression below when x=5
5x+6

Answers

Answer:

31

Step-by-step explanation:

5(5) + 6

5 x 5 = 25

25 + 6 = 31

The price of a technology stock has dropped to $9.61 today. Yesterday's price was $9.74. Find the percentage decrease.
Round your answer to the nearest tenth of a percent.
HELP I NEED THIS
If you can write the explanation out and how you got it!!!!!!!!

Answers

Answer:

1.33%

Step-by-step explanation:

$9.74 - $9.61 = $0.13

(0.13 divided by $9.74) times 100

=1.33%  

Anju wants to serve 0.75 of the pizza she made to her family for dinner. What fraction is equivalent to 0.75?​

Answers

Answer:

3/4

Step-by-step explanation:

0.75 is equal to three fourths

Answer:

3/4 is equivalent to 0.75

Step-by-step explanation:

Hope this helps c:

6.3232 or 6.3202 is grater?

Answers

Answer:

6.3232 is greater

Step-by-step explanation:

Solve for the value of p.​

Answers

Answer:

p=13

Step-by-step explanation:

set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13

The answer is 13 because 7x13=91
91-1=90

Which function is a linear function ?

Answers

Answer:

the answer is E. hope this helps

Step-by-step explanation:

52% of what number is 45? (Round to the nearest whole number)

Answers

answer: 23

explanation: move the decimal point over 2 to make it 0.52 then multiply by 45 to get 52% of 45. it’s 23.4, rounded to the nearest whole number is 23.

i need the answer for this question

Answers

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

Your payment is $350 per month for 48 months and you made a 3,000 down payment?

Answers

Answer:

Your total cost would be $19800

Step-by-step explanation:

350*48

=16800

+3000

=19800

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

what does x = ? need help with the pythagorean theorem

Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

help please!!!!!!!!​

Answers

19+81=100
That should be correct

PLSSS HELPPPPOPPPPPPPP

Answers

Answer:

x = 15 ; y = 53

Step-by-step explanation:

(7x + 18)° + (4x - 3)° = 180°

11x + 15 = 180

11x = 165

x = 15

(2y + 17)° + (4(15) - 3)° = 180°

2y + 17 + 57 = 180

2y = 106

y = 53

X = 15 Y = 53

Hope this helps! Even you need it written out, shout out to the dude up there lol ᕕ( ᐛ )ᕗ

Evaluate the expression -36/-9

Answers

The answer would be 4
(Positive 4 btw)

the slope of the line that goes through the points (2,4) and (7,8)

Answers

what is the question, or give us more information. Thank u!

A county has two elementary schools, both of which have an after-school program for the convenience of working parents. In school A, of the children attend the after-school program; in school of the children attend the after-school program. If school A has 600 students and school B has 900 students , then what is the fraction of elementary school students in the county who attend the after -school program ?

Answers

Answer:

8/15

Step-by-step explanation:

Given that school A has 600 students and school B has 900 students.

As in School A, 1/3 of the children attend the after-school program.

So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.

As in School B, 2/3 of the children attend the after-school program.

So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.

Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.

Total number of elementary school students in the county,

N = 600+900=1500

Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.

Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?

Answers

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

A formal proof uses all of the following components except what?

A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules

Answers

Answer:

The answer is B.

what is the value of the expression below when z=4
10z=3

Answers

Is there anything else other than this?

Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help

Answers

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct. It would be one.

Step-by-step explanation:

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