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
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
...(i)
Cost of five donuts and two cookies = $4.95
...(ii)
Multiply equation (i) by 2.
...(iii)
Multiply equation (ii) by 3.
...(iv)
Subtracting (iii) from (iv), we get


Divide both sides by 11.


Therefore, the cost of each donut is $0.75.
Answer:
54.56
Step-by-step explanation:
The number after the point is not 5 or higher
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.

On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get

x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>
<u>Answer:</u> The wavelength for X-rays with the given frequency is 
<u>Step-by-step explanation:</u>
To calculate the wavelength of light, we use the equation:

where,
= wavelength of the light
c = speed of light = 
= frequency of light = 
Putting the values in above equation, we get:

Hence, the wavelength for X-rays with the given frequency is 