1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Salsk061 [2.6K]
3 years ago
5

Kendra was given three gift certificates for her birthday, each worth 333 points, for a music service. In the past Kendra has do

wnloaded five songs and seven videos for a total of 295 points. Another time she downloaded ten songs and three videos for a total of 150. What is the most songs that Kendra can get with her certificates if she doesn’t buy any videos?
Mathematics
2 answers:
Grace [21]3 years ago
7 0
Each song downloaded costs 3 points

each video costs 40 points

total of 999 points

if each song cost 3 points and she has 999 points to use she can download 333 songs at max
Firdavs [7]3 years ago
6 0

Answer:

The most number of song she can get is 333.

Step-by-step explanation:

Let x represents the points required for downloading a song and y represents the points required for a video,

Given,

The points required for five songs and seven videos is 295.

⇒ 5x + 7y = 295 -----(1)

Also, the points required for ten songs and three videos is 150.

⇒ 10x + 3y = 150 -----(2),

For finding the value of x we need to cancel out the value of y,

For this, 7 × Equation  (2) - 3 × equation (1),

We get,

55x = 165

x = 3

Hence, we need 3 points for downloading a song,

Since, we have 3 gift certificates, each worths 333 points

So, the total points = 3 × 333 = 999

Let s be the number of songs downloads by 999 points,

We can write,

3s = 999

⇒ s = 333

Therefore, maximum 333 songs can get with the certificates.

You might be interested in
How do i expand (3x+5)^2
shepuryov [24]
I don't know how you expand it but the answer is 3x + 25 unless that's expanding.
8 0
2 years ago
Read 2 more answers
What is the value of x?
Reika [66]
The bisector of an angle of a triangle divides the opposite side into segments that are proportional to the adjacent sides
VT/TK = VY/YK
95.2/168 = 34/YK
YK = (168·34)/95.2 = 60 cm
x = VY + YK = 34 + 60 = 94 cm

7 0
3 years ago
Factor the polynomial, x2 + 5x + 6
patriot [66]

Answer:

Choice b.

x^{2} + 5\, x + 6 = (x + 3)\, (x + 2).

Step-by-step explanation:

The highest power of the variable x in this polynomial is 2. In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 0.)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to 0. The discriminant of this polynomial is (5^{2} - 4 \times 1 \times 6) = 1.

\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}.

Similarly:

\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}.

By the Factor Theorem, if x = x_{0} is a root of a polynomial, then (x - x_0) would be a factor of that polynomial. Note the minus sign between x and x_{0}.

  • The root x = -2 corresponds to the factor (x - (-2)), which simplifies to (x + 2).
  • The root x = -3 corresponds to the factor (x - (-3)), which simplifies to (x + 3).

Verify that (x + 2)\, (x + 3) indeed expands to the original polynomial:

\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}.

4 0
2 years ago
A window washer earns $4 per window. Which equation represents the relationship between his total earnings and the number of win
Kaylis [27]
Let T be total of money earned  and W= number of windows washed
T=4W
8 0
3 years ago
Please help picture shown !!!!
never [62]
Right... soo wouldnt the a: be E??
7 0
2 years ago
Other questions:
  • Which set of ordered pairs could be generated by an exponential function?
    13·2 answers
  • Please help me! 7x+6=?
    12·1 answer
  • 3y+4=11y PLEASE STEP BY STEP: SHOW WORK PLEASE AND THANK YOU !!
    15·2 answers
  • Why would a conservative investor invest in more short term bonds than long term bonds?
    9·2 answers
  • How to find the first n terms of a quadratic sequence a1 = 3, r = 2, n =5
    7·1 answer
  • Consider the following set of equations:
    14·1 answer
  • Decide whether ABC is a right angle triangle
    8·2 answers
  • What fraction is equal to the decimal 0.137? Brainliest to the right answer
    7·2 answers
  • What is the equation of the line?<br> I’LL GIVE BRAINLIEST
    13·2 answers
  • The park plans to hire 20 percent more than the minimum number of ticket sellers needed in order to account for sickness, vacati
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!