To solve this, we first ask: How many wholes of 6 are there in 19?
19 divided by 6 is 3
Then we ask: How many sixths are there left over?
We have 1/6 left over
The mixed number is 3 1/6
Three wholes and one sixth.
Frist you simplify the mixed number: We have a 4/8. To simplify, we will use the common factor 4. Divide the numerator and denominator by 4 and you will get 1/2.
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Answer:
a. 1/5
b. (3, 3/5)
c. 1/5x = y
Step-by-step explanation:
Remember: (x, y)
0.5 = 1/2
(1/2, 1/10) = 1/10 ÷ 1/2 = 1/10 • 2 = 1/5, you can divide y/x = constant of proportionality. 1/10 ÷ 1/2.
1 2/5 = 7/5
(7, 7/5) = 7/5 ÷ 7 = 7/5 • 1/7 = 1/5, y/x = constant of proportionality. 7/5 ÷ 7.
- a. 1/5 is the constant of proportionality
- b. (3, 3/5) because 3/5 ÷ 3 or 3/5 • 1/3 = 1/5.
- c. 1/5x = y
Answer:
![y = \frac{5x}{2} - 5](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5x%7D%7B2%7D%20-%205)
Step-by-step explanation:
Given the equation 5x - 2y = 10, to write the equation in slope-intercept form, we need to write it in the standard format y = mx+c where m is the slope/gradient and c is the intercept.
From the equation given 5x - 2y = 10, we will make y the subject of the formula as shown;
![5x - 2y = 10\\\\subtract \ 5x \ from \ both \ sides\\\\5x - 2y - 5x = 10 - 5x\\\\-2y = 10-5x\\\\Dividing \ both \ sides\ by \ -2;\\\\\frac{-2y}{-2} = \frac{10-5x}{-2}\\ \\](https://tex.z-dn.net/?f=5x%20-%202y%20%3D%2010%5C%5C%5C%5Csubtract%20%5C%205x%20%5C%20from%20%5C%20both%20%5C%20sides%5C%5C%5C%5C5x%20-%202y%20-%205x%20%3D%2010%20-%205x%5C%5C%5C%5C-2y%20%3D%2010-5x%5C%5C%5C%5CDividing%20%5C%20both%20%5C%20sides%5C%20by%20%20%5C%20-2%3B%5C%5C%5C%5C%5Cfrac%7B-2y%7D%7B-2%7D%20%3D%20%5Cfrac%7B10-5x%7D%7B-2%7D%5C%5C%20%20%5C%5C)
![y = \frac{10}{-2} - \frac{5x}{-2} \\\\y = -5 + \frac{5x}{2}\\\\y = \frac{5x}{2} - 5](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B10%7D%7B-2%7D%20-%20%5Cfrac%7B5x%7D%7B-2%7D%20%20%5C%5C%5C%5Cy%20%3D%20-5%20%2B%20%5Cfrac%7B5x%7D%7B2%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5x%7D%7B2%7D%20-%205)
Hence the equation that represents the first equation written in slope-intercept form is ![y = \frac{5x}{2} - 5](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5x%7D%7B2%7D%20-%205)