Answer:
![0.\overline{6}](https://tex.z-dn.net/?f=0.%5Coverline%7B6%7D)
Step-by-step explanation:
It is a repeating decimal fraction:
![\dfrac{2}{3}=0.6666...=0.\overline{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%3D0.6666...%3D0.%5Coverline%7B6%7D)
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You can see this if you do the long division. Each step is the same as the one before.
Answer:
Step-by-step explanation:
Let the price is x.
<u>Set the equation and solve for x:</u>
- (x + 5%) + 15 = 141
- 1.05x + 15 = 141
- 1.05x = 126
- x = 126/1.05
- x = 120
For this case we must indicate the graph corresponding to the following equation:
![y-4 = 3 (x + 1)](https://tex.z-dn.net/?f=y-4%20%3D%203%20%28x%20%2B%201%29)
We found the cut points:
X axis: We do![y = 0](https://tex.z-dn.net/?f=y%20%3D%200)
![0-4 = 3 (x + 1)\\-4 = 3x + 3\\-4-3 = 3x\\-7 = 3x\\x = - \frac {7} {3}](https://tex.z-dn.net/?f=0-4%20%3D%203%20%28x%20%2B%201%29%5C%5C-4%20%3D%203x%20%2B%203%5C%5C-4-3%20%3D%203x%5C%5C-7%20%3D%203x%5C%5Cx%20%3D%20-%20%5Cfrac%20%7B7%7D%20%7B3%7D)
Y axis: We make ![x = 0](https://tex.z-dn.net/?f=x%20%3D%200)
![y-4 = 3 (0 + 1)\\y-4 = 3 (1)\\y-4 = 3\\y = 3 + 4\\y = 7](https://tex.z-dn.net/?f=y-4%20%3D%203%20%280%20%2B%201%29%5C%5Cy-4%20%3D%203%20%281%29%5C%5Cy-4%20%3D%203%5C%5Cy%20%3D%203%20%2B%204%5C%5Cy%20%3D%207)
The graph is shown in the attached figure.
Answer:
See attached image
Answer:
11
Step-by-step explanation:
Answer:
The expression is C/20 cups of flour in one cake
Step-by-step explanation:
* Lets explain how to solve the problem
- There are 10 students
- Each one made 2 chocolate cakes
- They all used the same recipe
- The total amount of flour is C cups
* Lets change these information to equation
∵ There are 10 students
∵ Each student made 2 cakes
∴ The total number of cakes = 10 × 2 = 20 cakes
∵ The total amount of flour for the twenty cakes is C cups
- To find the amount of flour in each cake divide the total amount
of flour by the total number of the cakes
∴ The amount of flour in each cake = C/20
* The expression is C/20 cups of flour in one cake