Answer:
For every 1 liter of bleach there are 9 liters of water in the solution
Step-by-step explanation:
∵ The ratio of bleach to water in a cleaning solution is 2 : 18
- That means for every 2 liters of bleach there is 18 liters of water
∵ There is 1 liter of bleach
- Let us use the ratio method
→ bleach : water
→ 2 : 18
→ 1 : x
- By using cross multiplication
∴ x × 2 = 1 × 18
∴ 2 x = 18
- Divide both sides by 2
∴ x = 9
∵ x represents the number of liters of the water in the solution
∴ The number of liters of the water in the solution is 9
For every 1 liter of bleach there are 9 liters of water in the solution
9514 1404 393
Answer:
- x ≤ 4
- x > 10
- x ≤ -7
Step-by-step explanation:
We're guessing you want to solve for x in each case. You do this in basically the same way you would solve an equation.
1. 3x +2 ≤ 14
3x ≤ 12 . . . . . subtract 2
x ≤ 4 . . . . . . . divide by 3
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2. -5 +2x > 15
2x > 20 . . . . . . add 5
x > 10 . . . . . . . . divide by 2
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3. -2x +4 ≥ 18
4 ≥ 18 +2x . . . . . add 2x
-14 ≥ 2x . . . . . . . subtract 18
-7 ≥ x . . . . . . . . . divide by 2
_____
<em>Additional comment</em>
The statement above that the same methods for solving apply to both equations and inequalities has an exception. The exception is that some operations reverse the order of numbers, so make the inequality symbol reverse. The usual operations we're concerned with are <em>multiplication and division by a negative number</em>: -2 < -1; 2 > 1, for example. There are other such operations, but they tend to be used more rarely for inequalities.
You will note that we avoided division by -2 in the solution of the third inequality by adding 2x to both sides, effectively giving the variable term a positive coefficient. You will notice that also changes its relation to the inequality symbol, just as if we had left the term where it was and reversed the symbol: -2x ≥ 14 ⇔ -14 ≥ 2x ⇔ x ≤ -7 ⇔ -7 ≥ x
Answer: V = πr 2 h
Step-by-step explanation:
To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.
Answer:
b is right
Step-by-step explanation:
