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Musya8 [376]
2 years ago
8

Which function has a constant additive rate of change of -1/4?​

Mathematics
1 answer:
Anastasy [175]2 years ago
5 0

Answer:

A

Explanation:

every 1 unit the line goes down, it shifts over 4 units to the right

thus, the slope equals ( -1 / 4 )

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A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7%
olga55 [171]

Answer:

$19.26 or $19.

Step-by-step explanation:

Sold DVD for 50% more of the purchase price of $12, so:

12 + 50/100 * (12) = 12 + 6 = 18.

The customer will pay 7% tax on $18.

18 * (1.07) = $19.26

4 0
3 years ago
Read 2 more answers
Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two
Amiraneli [1.4K]

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

2x+3y=3.30          ...(i)

Cost of five donuts and two cookies = $4.95

5x+2y=4.95          ...(ii)

Multiply equation (i) by 2.

4x+6y=6.60          ...(iii)

Multiply equation (ii) by 3.

15x+6y=14.85      ...(iv)

Subtracting (iii) from (iv), we get

15x+6y-4x-6y=14.85-6.60

11x=8.25

Divide both sides by 11.

x=\dfrac{8.25}{11}

x=0.75

Therefore, the cost of each donut is $0.75.

7 0
3 years ago
5456.3 mi to the nearest mile
blondinia [14]

Answer:

54.56

Step-by-step explanation:

The number after the point is not 5 or higher

8 0
3 years ago
The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m
MaRussiya [10]

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

\frac{5}{x}=\frac{9.5}{30.5}

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

\frac{9.5x}{9.5}=\frac{152.5}{9.5}

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

6 0
3 years ago
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
Vaselesa [24]

<u>Answer:</u> The wavelength for X-rays with the given frequency is 1\times 10^{-10}m

<u>Step-by-step explanation:</u>

To calculate the wavelength of light, we use the equation:

\lambda=\frac{c}{\nu}

where,

\lambda = wavelength of the light  

c = speed of light = 3\times 10^8m/s

\nu = frequency of light = 3\times 10^{18}s^{-1}

Putting the values in above equation, we get:

\lambda=\frac{3\times 10^8m/s}{3\times 10^{19}s^{-1}}=1\times 10^{-10}m

Hence, the wavelength for X-rays with the given frequency is 1\times 10^{-10}m

7 0
3 years ago
Read 2 more answers
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