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lions [1.4K]
2 years ago
4

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $

0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?
4x + 5y = –100
5x + 4y = 80
4x + 5y = 16
5x + 4y = 20
Mathematics
2 answers:
Yuki888 [10]2 years ago
7 0
Firstly we need to find the gradient of the line, which in this case is the cost of one song. If the gift card has $20 and after 16 songs it has $0 that means that the price of one song would be 20/16 = 5/4 (= $1.25).

We know that the y-intercept is (0, 20), since when 0 songs are purchased the gift card has $20. Thus using the equation form y = mx + c we get:
y = 5/4 + 20

Now if we multiply both sides by 4 we get:
4y + 5x = 80
This is the same as the second answer (5x + 4y = 80), thus B is correct :)
Sloan [31]2 years ago
3 0

Answer: B. 5x + 4y = 80

Step-by-step explanation: Brainly User

Firstly we need to find the gradient of the line, which in this case is the cost of one song. If the gift card has $20 and after 16 songs it has $0 that means that the price of one song would be 20/16 = 5/4 (= $1.25).

We know that the y-intercept is (0, 20), since when 0 songs are purchased the gift card has $20. Thus using the equation form y = mx + c we get:

y = 5/4 + 20

Now if we multiply both sides by 4 we get:

4y + 5x = 80

This is the same as the second answer (5x + 4y = 80),

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El caño de una fuente está inclinado 60° sobre la horizontal. Si el agua sale del caño con una velocidad inicial de 10 m/s: a) ¿
jeka94

Answer:

A) Parabola; B) 3.83 m; C) 8.84 m; D) 10 m/s

Step-by-step explanation:

A) Shape of water jet

The water jet has the shape of a parabola.

B) Maximum height

Data:

θ = 60°

u = 10 m/s

a = 9.8 m·s⁻²

Calculations:

1. Calculate the horizontal and vertical components of the velocity

u_{\text{h}} = u \cos \theta = \text{10 m/s} \times \cos 60 ^{\circ} = \text{10 m/s} \times 0.5 = \text{5 m/s}\\u_{\text{v}} = u \sin \theta = \text{10 m/s} \times \sin 60 ^{\circ} = \text{10 m/s} \times 0.866 = \text{8.66 m/s}

2. Maximum height

H = \dfrac{(u_{\text{v}})^{2}}{2a} = \dfrac{8.66^{2}}{2\times 9.8} =\textbf{3.83 m}

C) Range

1. Calculate the time of flight

Use the vertical component of velocity to calculate the time to the maximum height of the stream.

u_{\text{v}} = at\\t = \dfrac{ u_{\text{v}}}{a} = \dfrac{\text{8.66 m$\cdot$s}^{-1}}{\text{9.8 m$\cdot$s}^{-2}}= \text{0.884 s}

It will take the same time to reach the ground.

Thus,

Time of flight = 2t = 2 × 0.884 s  = 1.77 s

2. Calculate the horizontal distance

s = vt = 5 m·s⁻¹ × 1.77 s = 8.84 m  

You should place the drain 8.84 m from the pipe.}

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The stream of water will hit the drain with the same velocity as when it left the pipe.

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The graph below shows the trajectory of the water stream.

6 0
2 years ago
An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room
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Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

5 0
2 years ago
Based on an online poll, 35% of motorists routinely use their cell phone while driving. Tree people are chosen at random from a
mart [117]

Answer:

The anwerss to the question are

(A) P(No less than two people use their phones while driving) =  0.1225

(B) P(The probability that no more than one person of the three people use their cell phone while driving) = 0.147875

Step-by-step explanation:

The given relations are

Percentage of motorists that routinely drive while sing their phone = 35 %

The probaboloty that if a peerson is random;ty  selected from a group of hudred person routinely uses their phone wjile friving P(phone) = 35

The probability that a  motorist randomly selected fron a set of 100 do not routinely use thir phones while driving = P(No celll phone)  = 65

Then the probability that when three people are selected at random at least two people of the three people use their cell phone while driving is

P(phone)  = 35/100m = 0.35

P(No celll phone)  = 65/100 = 0.65

(A) Probability of at least two of three use their phones whle driving is

0.35×0.35×0.65 +0.35×0.35×0.35 = 0.1225

(B) The probability of only one person out of three seted use their phones while driving is

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Ugo [173]
I believe the correct answers are:

<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Or, in other words, Options A and D.
</span>
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saw5 [17]
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2 years ago
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