So firstly, factor out h on the left side: ![h(b+r)=25](https://tex.z-dn.net/?f=%20h%28b%2Br%29%3D25%20)
Next, divide both sides by h: ![b+r=\frac{25}{h}](https://tex.z-dn.net/?f=%20b%2Br%3D%5Cfrac%7B25%7D%7Bh%7D%20)
Lastly, subtract both sides by b and your answer will be ![r=\frac{25}{h}-b](https://tex.z-dn.net/?f=%20r%3D%5Cfrac%7B25%7D%7Bh%7D-b%20)
Answer:
No, he does not have enough rope. 0.26 ft short.
Step-by-step explanation:
3 x 10.42 = 31.26
31.26 - 31 = 0.26
Answer:
![b=\frac{T-a-c-d}{3}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7BT-a-c-d%7D%7B3%7D)
b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:
![T=a+c+d+3b](https://tex.z-dn.net/?f=T%3Da%2Bc%2Bd%2B3b)
Isolate b in order to find out how many points they need in the district match:
![T=a+c+d+3b\\3b=T-a-c-d\\b=\frac{T-a-c-d}{3}](https://tex.z-dn.net/?f=T%3Da%2Bc%2Bd%2B3b%5C%5C3b%3DT-a-c-d%5C%5Cb%3D%5Cfrac%7BT-a-c-d%7D%7B3%7D)
They need to score (T - a - c - d)/3, in the district match in order to win.
Answer:
40%
Step-by-step explanation:
4 dimes = 40 cents
1 dollar = 100 cents
40
= 40%
Answer:
The company must sell at least 2 shirts to break even.
Step-by-step explanation:
Cost:
The cost is given by the following equation:
![C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20](https://tex.z-dn.net/?f=C%20%3D%20%5Cfrac%7B40%7D%7B30x%2B20%7D%20%2B%2020%20%3D%20%5Cfrac%7B4x%7D%7B3%7D%20%2B%2020)
Revenue:
The revenue is given by the following equation:
![R = 15x](https://tex.z-dn.net/?f=R%20%3D%2015x)
How many t shirts must the company sell to break even?
Breakeven point is when the revenue is the same as the costs. So
![\frac{4x}{3} + 20 = 15x](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B3%7D%20%2B%2020%20%3D%2015x)
![15x - \frac{4x}{3} = 20](https://tex.z-dn.net/?f=15x%20-%20%5Cfrac%7B4x%7D%7B3%7D%20%3D%2020)
![\frac{45x}{3} - \frac{4x}{3} = 20](https://tex.z-dn.net/?f=%5Cfrac%7B45x%7D%7B3%7D%20-%20%5Cfrac%7B4x%7D%7B3%7D%20%3D%2020)
Multiplying everything by 3
![45x - 4x = 60](https://tex.z-dn.net/?f=45x%20-%204x%20%3D%2060)
![41x = 60](https://tex.z-dn.net/?f=41x%20%3D%2060)
![x = \frac{60}{41} = 1,...](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B60%7D%7B41%7D%20%3D%201%2C...)
Since you cant make a decimal value of shirts
The company must sell at least 2 shirts to break even.
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