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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.

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Answer:

The answer is 358.01

Step-by-step explanation:

Given:

3\times 10^{2}+5\times 10^{1}+8\times 10^{0}+1\times \frac{1}{10^{2}}

Now, to solve first we crack the power notation then multiply and then do the addition:

3\times 100+5\times 10+8\times 1+1\times \frac{1}{100}

(The value of 10^{1} is 10 and the value of 10^{0} is 1.)

=300+50+8+\frac{1}{100}

=300+50+8+0.01

=358.01.

Therefore, the answer is 358.01 .

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