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max2010maxim [7]
4 years ago
15

Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last mon

th Danielle watched 7 movies on demand, and her total monthly bill was $104.
Select from the drop-down menu to correctly complete each statement.

The monthly charge for Danielle's cable bill is . Danielle also pays every time she watches a movie on demand.

Mathematics
2 answers:
raketka [301]4 years ago
3 0

Answer:

5

Step-by-step explanation:

First, take away the monthy charge of 69$ just to have cable from 104$, then you will want to see that there is still a mysterious 35$ left from the bill after cable was removed. That 35$ is to be divided amoungst the 7 movies on demand that Danielle watched , leading you to get 5$ per movie on demand as your answer.

padilas [110]4 years ago
3 0

Answer: The first box you would put $5 and the second box you would put $69

because Danielle pays $5 every time she rents a movie on demand because you would take the unit rate for 1 movie instead of 7 movies and see what the price is for 1 movie on demand and when you do that you get $5 so her fee for 1 movie on demand is $5 and her monthly cable bill is $69



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Solve the inequality for w. w-7<21
Radda [10]
Add 7 to each side of the inequality.

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8 0
3 years ago
Can someone solve -192= -6 (6x - 4) step by step?
olasank [31]

Answer:

<u>x= 4 2/3 </u><em><u>OR</u></em><u> 14/3 </u><em><u>OR</u></em><u> 4.6... –– 4 2/3 and 4.6... are the simplest form.</u>

Step-by-step explanation:

Your original equation is -192 = -6 (6x - 4):

1. -192 = -6 (6x - 4)

Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:

2. -192 = -36x + 24

We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:

3. -192 + 24 = -36x + 24 - 24

Divide both sides of the equations by -36 to get "x" by itself:

4. -168 / -36 = -36x / -36

Simplify the fraction of 24/36 by 12:

5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x

<u>4 2/3, 14/3, 4.6... = x</u>

7 0
3 years ago
For which value of b can the expression x2 + bx + 18 be factored?
Dmitry_Shevchenko [17]

Answers:

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

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

Explanation:

Here are all the ways to multiply to 18 when using integers only:

  • -1*(-18) = 18
  • -2*(-9) = 18
  • -3*(-6) = 18
  • 1*18 = 18
  • 2*9 = 18
  • 3*6 = 18

Sum each pair of factors to find out a possible value of b.

  • -1 + (-18) = -19
  • -2 + (-9) = -11
  • -3 + (-6) = -9
  • 1 + 18 = 19
  • 2 + 9 = 11
  • 3 + 6 = 9

Therefore, the possible values of b are

  • b = -19
  • b = -11
  • b = -9
  • b = 19
  • b = 11
  • b = 9

which are the final answers.

----------------------

An example:

Let's say b = 11. This would mean x^2+bx+18 becomes x^2+11x+18

It would factor to (x+2)(x+9) since it was stated earlier that:

2+9 = 11

2 * 9 = 18

You can use the FOIL rule, distributive property, or the box method to confirm that x^2+11x+18 = (x+2)(x+9) is a true equation for all real numbers x.

This same idea applies for the other values of b.

----------------------

If you're curious why this works, consider multiplying the two factors (x+p) and (x+q)

Use the FOIL rule to get (x+p)(x+q) = x^2+qx+px+pq = x^2+(p+q)x + pq

The middle term (p+q)x has the components add to the coefficient, while those same two components multiply to get the last term. This is why when factoring we're looking for two numbers that multiply to 18, and also add to the value of b (which in the case of the last example was 11).

7 0
2 years ago
Tony has a workout playlist consisting of 4 songs for stretching, 14 songs for running, and 6 songs for lifting weights. If the
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3 0
3 years ago
Find the terminal point on the unit circle determined by pi radians.
svet-max [94.6K]

Answer:

Terminal points

(x,y) = (\frac{1}{\sqrt{2} }) , (\frac{-1}{\sqrt{2} })

Step-by-step explanation:

According to the question, it is provided that

\theta = \frac{7\pi}{4}

Now

x = 1. cos (\frac{7\pi}{4})\\\\ = cos (2\pi - \frac{\pi}{4})\\\\= cos \frac{\pi}{4} \\\\= \frac{1}{\sqrt{2} }

y = 1. sin (\frac{7\pi}{4})\\\\ = sin (2\pi - \frac{\pi}{4})\\\\= -sin \frac{\pi}{4} \\\\= \frac{-1}{\sqrt{2} }

Now

(x,y) = (\frac{1}{\sqrt{2} }) , (\frac{-1}{\sqrt{2} })

These two represents the terminal points

We simply applied the above equations and then equate these two equations to determine the terminal points and therefore the same is to be considered

It could be figure out by using the x and y points

Therefore the two shows the terminal points

3 0
3 years ago
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