The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x 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?

Answer:

22.4

Step-by-step explanation:

0.2*28=5.6

28-5.6=

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = [tex]\frac{5}{3}[/tex] a

[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a

Then

a : b : c

= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25

Answer:

0.024

Step-by-step explanation:

75, 15, 3, ...

Now, let's take a look at thus pattern.

You'll notice how the numbers decrease.

Divide 75 by 5.

We get 15

Divide 15 by 5.

We get 3.

Then we have the pattern now.

3 ÷ 5 = 0.6 (4th term)

0.6 ÷ 5 = 0.12 (5th term)

0 12 ÷ 5 = 0.024 (6th term)

I hope it helps.

Answer:

x=17

Step-by-step explanation:

angle O is equal to angle M.

This means (5x-10)=75

add 10 degrees to both sides

5x=85

divide both sides by 5

x=17

Answer:

3

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} = 3[/tex]

X = 5 – 2 = 3

Y = 16 – 7 = 9

[tex]0 = arctan(\frac{y}{x}) = 71.565051177078°[/tex]

[tex]Distance (d) = \sqrt{X2} + Y2 = \sqrt{90} = 9.4868329805051[/tex]

Equation of the line:

y = 3x + 1

When x=0, y = 1

When y=0, x = -0.33333333333333

Answer:

6 / 5 ( or ) 1.2

Step-by-step explanation:

5x = 6

x = 6 / 5

( or )

x = 1.2

Answer: To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you need help let me know

Answer:

Thanks I guess…

Step-by-step explanation:

Answer:

15yx^2-34y-16

Step-by-step explanation:

Answer: yes these lines are

Answer:

yes

Step-by-step explanation:

Perpendicular lines intersect eachother

Answer:

23 chips I believe

Step-by-step explanation:

10 add 13

Answer:

x = 0 , x = 3

Step-by-step explanation:

Equate the 2 expressions and solve for x

3x² - 2x + 1 = 7x + 1 ( subtract 7x + 1 from both sides )

3x² - 9x = 0 ← factor out 3x from each term

3x(x - 3) = 0

Equate each factor to zero and solve for x

3x = 0 ⇒ x = 0

x - 3 = 0 ⇒ x = 3

Answer:

Step-by-step explanation:

answer:

the answer is = 7/3

so the first one

Answer:

remove the bracket 5x-1+5x collect like term 5x+5x-1

10x-1 is the answer

[tex]61 + (6x - 31) = 90[/tex]

Subtract both sides 61

[tex]61 - 61 + 6x - 31 = 90 - 61[/tex]

[tex]6x - 31 = 29[/tex]

Add both sides 31

[tex]6x - 31 + 31 = 29 + 31[/tex]

[tex]6x = 60[/tex]

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{60}{6} \\ [/tex]

[tex]x = 10[/tex]

____________________________________________

Have a great day ♡

Answer:

x = 10

Step-by-step explanation:

It's a 90˚ angle so subtract 61 from 90, which is 29.

Then add 31 to that 29, which would come out to 60.

60 divided by 6 to isolate the variable would come to 10.

Check your answer by multiplying 10 by 6, subtract the 31, and lastly add the 61 to get back to your 90.

Answer:

the answer is 300

Step-by-step explanation:

30x10=300

If [tex] \: R = 20[/tex]

Then, [tex] \: 10r = 10 \times R \\ = 10 \times 30 \\ = 300[/tex]

The value of x and y are 5/6 and 8/5 respectively

Given the systems of equations

Solving the equations using the elimination method

12x + 15y = 34

-18x + 15y = 9

Subtract both expressions:

12x-(18x) = 34 - 9

12x+18x = 25

30x = 25

x = 5/6

Substitute x = 5/6 into equation 1 to have:

12x + 15y = 34

12(5/6) + 15y = 34

10 + 15y = 34

15y = 24

y = 8/5

Hence the value of x and y are 5/6 and 8/5 respectively

Learn more on simultaneous equations here: https://brainly.com/question/185757

Answer:

do it your self.

Step-by-step explanation:

Answer:

x<4

Step-by-step explanation:

Answer:

i dont know but some one will help freeee points

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

To find the slope, calculate rise and run. The formula is as follows...

[tex]\frac{Rise}{Run} =\frac{y2-y1}{x2-x1}[/tex]

Answer:

Not a Function.... hope you pass!

Answer: 7+3/4x >= 31

Step-by-step explanation: 7 more = +7

three - fourths of a number = 3/4 x

no less than = >= (more than or equal to sign)

Answer:

y=10x+10

Step-by-step explanation:

Answer:

Step-by-step explanation:BASE+3X=22.85

BASE+10X=40

BASE=40-10X NOW SUBSTITUTE (40-10X)FOR BASE IN THE FIRST EQUATION

40-10X+3X=22.85

-7X=22.85-40

-7X=-17.15

X=-17.15/-7

X=$2.45 IS THE PRICE FOR EACH POUND.

BASE+10*2.45=40

BASE+24.50=40

BASE=40-24.50

BASE=15.50 IS THE BASE PRICE FOR THE DELIVERY.

PROOF

15.50+3*2.45=22.85

15.50+7.35=22.85

22.85=22.85

This might not be right

 one is y= 2x-3 and number two is y=-x-1

1) first you convert 4x-2y=3 into slope intercept form

y= 2x+ 3/2

then you change 3/2 to b

y=2x + b

then you plug in the point 2,1

(1)=2(2) + b

1=4+b

-3=b

after that you change the b in y=2x+b to -3

y=2x-3

2) after you convert it into slope intercept form (y=1x+b)

you have to change the x to a negative x because the line is perpendicular

y= -1x + b

then you plug in the point -3,2

2= -1(-3) + b

2= 3 + b

-1 = b

Step-by-step explanation:

sorry ..i dont know the answer for this question

Answer:

4 1/2 tons of recycled paper

Step-by-step explanation:

13.5/3 = 4.5 or 4 1/2