Answer:
x<4
Step-by-step explanation:
1+2x<9
2x<8
x<4
The slope of this line is -3/5!
Explanation: You start at the highest dot and count down and over until you reach the second dot . (Explanation for dummies )
Answer:
here
Step-by-step explanation:
find the circumference of the lid (this is like a side length of a rectangle)
2*pi*2= 12.566in
Then multiply by 3 (the other side length)
12.566*3= 37.7in squared :)
Answer:
Each small candleholder holds 3 candles, and each large one holds 5 candles.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of candles that a small candleholder holds.
y is the number of candles that a large candleholder holds.
24 small candle holders and 3 large candle holders, using a total of 87 candles.
This means that
![24x + 3y = 87](https://tex.z-dn.net/?f=24x%20%2B%203y%20%3D%2087)
Simplifying by 3
![8x + y = 29](https://tex.z-dn.net/?f=8x%20%2B%20y%20%3D%2029)
![y = 29 - 8x](https://tex.z-dn.net/?f=y%20%3D%2029%20-%208x)
14 small candle holders and 7 large candle holders, for a total of 77 candles.
This means that ![14x + 7y = 77](https://tex.z-dn.net/?f=14x%20%2B%207y%20%3D%2077)
Simplifying by 7
![2x + y = 11](https://tex.z-dn.net/?f=2x%20%2B%20y%20%3D%2011)
![y = 11 - 2x](https://tex.z-dn.net/?f=y%20%3D%2011%20-%202x)
Since ![y = 29 - 8x](https://tex.z-dn.net/?f=y%20%3D%2029%20-%208x)
![11 - 2x = 29 - 8x](https://tex.z-dn.net/?f=11%20-%202x%20%3D%2029%20-%208x)
![6x = 18](https://tex.z-dn.net/?f=6x%20%3D%2018)
![x = \frac{18}{6}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B18%7D%7B6%7D)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
![y = 29 - 8x = 29 - 8*3 = 29 - 24 = 5](https://tex.z-dn.net/?f=y%20%3D%2029%20-%208x%20%3D%2029%20-%208%2A3%20%3D%2029%20-%2024%20%3D%205)
Each small candleholder holds 3 candles, and each large one holds 5 candles.
The fraction is : 71/100
The decimal is : 0.71