Ask question

Ask question

All categories

3 years ago

15

You won a $100 gift card to purchase music and videos through an online store. You bought $48.40 worth of movies and 40 songs.

1 answer:

jarptica [38.1K]3 years ago

5 0

Equation

Total = movies plus songs.

Givens

Total = 100

Movies = 48.4

Songs Cost = x

Number of Songs = 40

Solve

100 = 48.4 + 40x Subtract 48.4 from both sides.

100 - 48.4 = 40x

51.6 = 40x Divide by 40

51.6 / 40 = x

1.29 = x

Conclusion

Each song cost $1.29

You might be interested in

tony scored 22 and 25 points in the first two games of a basketball tournament. Tony's goal is to make the all-tournament team.

ad-work [718]

Tony's current scores are 22 and 25.
Let x = Tony's next score.

To make the lower required score of 27,
(x + 22 + 25)/3 = 27
x = 81 - 47 = 34

To make the upper required score of 32,
(x + 22 + 25)/3 = 32
x = 96 - 47 = 49

Answer:
Tony should score between 34 and 49

8 0

3 years ago

Read 2 more answers

A person can pay $27 for a membership to the science Museum and then go to the museum for just a $1.00 per visit. What is the ma

HACTEHA [7]

Answer:

10

Step-by-step explanation:

27 + 1(10) = 37

7 0

3 years ago

Read 2 more answers

Gina drew a circle with right triangle PRQ inscribed in it, as shown below:

Darina [25.2K]

I think the correct answer is b 75

3 0

3 years ago

Read 2 more answers

A won a race at the local fair by running 10.5 miles in exactly 2 hours. At this constant rate, how long does it take the same

Luba_88 [7]

Answer:

The dog will run the 21-mile race in 4.04 hours

Step-by-step explanation:

The first thing we need to do is find out how far he ran the race at the local fair in 1 hour.

To do this, we can set up a simple relationship:

If he ran 10.5 miles in 2 hours,

He will run x miles in 1 hour

Cross multiplying, we have

x = (10.5 X 1)/2 = 5.25 miles in 1 hour.

We can now comfortably say that he runs at the rate of 5.2miles/hr

He now goes to the state fair race, which is 21 miles long.

if he runs at the rate of 5.2 miles in 1 hour,

He will run 21 miles in y hours

y = 21 / 5.2 = 4.04 hours

The dog will run the 21-mile race in 4.04 hours

3 0

3 years ago

Which is the equation of a hyperbola centered at the origin with y-intercepts +12 -12, and asymptote y=3x/2

dangina [55]

Answer:

$\frac{y^2}{144}-\frac{x^2}{64}=1$

Step-by-step explanation:

The equation of a hyperbola centered at the origin with vertices on the y-axis is given by: $\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$

The vertices of the hyperbola are the y-intercepts (0,12) and (0,-12)

This implies that:

$2a=|12--12|$

$2a=24$

$a=12$

The asymptote equation of a hyperbola is given by:

$y=\pm\frac{a}{b}x$

The given hyperbola has asymptote: $y=\pm\frac{3}{2} x$

By comparison; $\frac{a}{b}=\frac{3}{2}$

$\implies \frac{12}{b}=\frac{12}{8}$

$\implies b=8$

The required equation is:

$\frac{y^2}{12^2}-\frac{x^2}{8^2}=1$

Or

$\frac{y^2}{144}-\frac{x^2}{64}=1$

6 0

3 years ago

Read 2 more answers