A rate often involves time: e. g., 33 feet per second; also, we are finding the ratio of one type of measurement with respect to another: distance and time.
A proportion is often the ratio of different measures of the same thing:
e. g. 5 apples
------------
7 apples
Answer:
x = 5
y = 4
Step-by-step explanation:
1. 2x + 2y = 18
2. x + 3y = 17
Multiply the first equation by 1 and the second equation by 2 to eliminate x
We have
2x + 2y = 18
2x + 6y = 34
Subtract equation 2 from equation 1
-4y = -16
Divide both sides by -4 to isolate y
-4y/-4 = -16/-4
y = 4
Now substitute 4 for y in either equation to get x. Using equation 2 we have
x + 3y = 17
x + 3 x 4 = 17
x + 12 = 17
Subtract 12 from both sides
x + 12 - 12 = 17 - 12
x = 5
x = 5 and
y = 4
Answer: y=7+2x
Step-by-step explanation: Divide 5 by all. 5y/5=35/5 +10x/5.
The acceleration of the bookshelf is equal to 1.30 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
<u>Given the following data:</u>
- Mass of bookshelf = 51.5 kilogram
To determine the acceleration of the bookshelf, we would apply Newton's Second Law of Motion:
Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on the object while being inversely proportional to its mass.
Mathematically, Newton's Second Law of Motion is given by this formula;
![Acceleration = \frac{Net\;force}{Mass}](https://tex.z-dn.net/?f=Acceleration%20%3D%20%5Cfrac%7BNet%5C%3Bforce%7D%7BMass%7D)
Substituting the given parameters into the formula, we have;
![Acceleration = \frac{67}{51.5}](https://tex.z-dn.net/?f=Acceleration%20%3D%20%5Cfrac%7B67%7D%7B51.5%7D)
Acceleration = 1.30 ![m/s^2](https://tex.z-dn.net/?f=m%2Fs%5E2)
Read more on net force here: brainly.com/question/1121817