Answer:
Step-by-step explanation:
If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.
If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes
y = k/x
When y = 0.25, x = 8
Substituting into the expression above, it becomes
0.25 = k/8
k = 0.25 × 8
k = 2
The inverse variation function is
y = 2/x
Answer:
X = 9, Y = 12, U = 24, V = 36
Step-by-step explanation:
The answers are:
1. c = 31.4
2. 96.2
Answer:
The cups of juice that Yesenia buys are:
Step-by-step explanation:
To solve this, you need to know the conversión below:
- 1 gallon = 16 cups.
Now the paragraph mentions that Yesenia buys 1 quart of juice (that refers to a quart of gallon), then, having the conversion above we can operate with a rule of three:
- 1 gallon = 16 cups
- 1/4 gallon = X
Solving this we have:
- <u>(1/4 * 16)/1 = 4 cups</u>
In the first purchase, Yesenia actually buys 4 cups (that is the same to 1 quart of gallon), next she buys one eighth, then we operate again with the first conversion but using this new quantity:
- 1 gallon = 16 cups
- 1/8 gallon = X
Solving this we have:
- <u>(1/8 * 16)/1 = 2 cups</u>
By last, we add every purchase:
- <u>Number cups of juice purchased by Yesenia = 4 cups + 2 cups = 6 cups.</u>
Answer: 706 x
It can also be written as 7.06 x